DATA 606 Final Project

Priya Shaji

2019-05-12


Adolescent Pregnancy Analysis

Introduction

What is Adolescent Prenancy?

Teenage pregnancy, also known as adolescent pregnancy, is pregnancy in a female under the age of 20.

Adolescent pregnancies are a global problem that occurs in high, middle, and low income countries. Around the world, adolescent pregnancies are more likely to occur in marginalized communities, commonly driven by poverty and lack of education and employment opportunities

Generally, what I have come across is, looking over economic growth or GDP of a nation, some can derive conclusions of the nation’s adolescent fertility rate. But once we dig deeper into the data, I realize some nation’s adolescent fertility rate are independent of it’s economic growth. Therefore, to analyze this issue, I decided to research on this topic for my DATA 606 project.

Additionally, regional differences reveal unequal progress: adolescent birth rates range from a high of 115 births per 1000 women in West Africa to 64 births per 1000 women in Latin America and the Caribbean to 45 births per 1000 women in South-Eastern Asia, to a low of 7 births per 1000 women in Eastern Asia. There are also up to three times more adolescent pregnancies in rural and indigenous populations than in urban populations. Therefore, this analysis should also be a global concern.

By doing analysis on adolescent pregnancy rates, I want to research on the following point:

  1. Which countries have the most significant increasing/decreasing adolescent fertility rates.

  2. Determine potential reasons for what in particular makes countries with decreasing or consistent fertility rates different from countries with higher or increasing fertility rates?

And, find out solutions on how we can help empower adolescents/women or give them access to the right tools so they won’t be caught in a cycle of continuous pregnancy.

Data

Data collection

The World Bank has an up-to-date (as of 2015) data-set with adolescent fertility rates for 261 countries ranging 45 years. It also has financial indicators for each country broken down by gender.

Cases

Each country forms it’s own case and demonstrates rate of adolescent fertility for women aged 15 to 19 years old. There are 261 countries, therefore there are 261 cases.

Variables

The response variable is quantitative value (numerical value) demonstrating a weighted average of births per 1,000 women ages 15-19. This is used to determine fertility rates for adolecent girls.

The explanatory variable is world development indicators. Sample variables include: “Life Expectancy”, “% with Account at a Financial Institution”, “% Women in Parliaments”, and “Nondiscrimination clause mentions gender in the constitution”

Type of study

This is an observational study looking at data from 1960 to 2015 for the most populous countries in the world.Using information on the sampling design, I have taken three countries based on their different development rates and complete availibility of data and carried exploratory analysis and identified scope of inference. Also conducted hypothesis test and arrived at a conclusion considerng all the results.

Scope of inference - generalizability

Population of interest are the nations who have complete data values and information in all of their gendered world indicators. They also fall into the category of either developed or developing nation.

Findings from this analysis can be generalized to this population, since all the 261 cases in our dataset fall into the category of either developed or developing country.

If there exists any potential sources of bias that might prevent generalizability, it can be the possibility of the gendered world indicator variables not being equal for each nation. It can vary according to the development of the nation.

Scope of inference - causality

These data be used to establish causal links between the variables of interest only for few countries.

Variable of Interest is the rate of adolescent fertility per 1000 women(n). And as we will explore further, very few nations variable of interest is associated or linked with the data provided

  1. Now, since we know our goals of this analysis and are aware of the dataset we have, we will load all the required libraires
  1. Load the gender world indicator dataset which was downloaded from World Bank

Exploratory data analysis

Let’s explore the dataset

  1. The first step for an exploratory dataset is to transform the dataset.

Perform data transformations using functions given by tidyr and dplyr packages.

  1. We’ll gather all the year in the data and make it as a new column name values for column “year”
  1. Rename the column name “Country Name” as “Country”

and “Indicator Name” as “Indicator”

  1. The new name of our clean and tidy dataset is tidy_gendered_world_indicators

As per US National Library of Medicine National Institutes of Health Search database, I aim to focus on United states, Switzerland,Philippines.These three countries have varied adolescent birth rates. While the adolescent birth rate in the US and Philippines has been increasing, in Switzerland it is decreasing significantly.

Let’s take an overall perspective for the three states(Philippines ,United States, Switzerland) and take a visual look of how adolescent mortality rates varies with years among these three countries

Philippines

According to US National Library research, Philippines is one of the few countries in the world that have an increase in adolecent fertility rates.

  1. Filter data for Philippines by using filter() function of dplyr package.

  2. Using ggplot(), plot the fertility rates vs years for Philippines

Here we see, the fertility rate for Philippines was highest during 1960 and that rate has been decreasing constantly till 1997. Since then the rates has been increasing constantly till 2015.

United States of America

According to US National Library research, United States is one of the few countries in the world that have an increase in adolecent fertility rates.

  1. Filter data for United States by using filter() function of dplyr package.

  2. Using ggplot(), plot the fertility rates vs years for United States

The United States of America’s adolescent birth rate is generally decreasing, despite a slight uptick during the late 80’s to early ’90s.

Switzerland

According to US National Library research, Switzerland is one of the few countries in the world that have a decrease in adolecent fertility rates.

  1. Filter data for Switzerland by using filter() function of dplyr package.

  2. Using ggplot(), plot the fertility rates vs years for Switzerland

Switzerland adolescent birth rate has a constant decreasing trend from 1967 onwards.

So, here as we see, all three countries have varying rates of adolescent fertility. Therefore

Global Perspective Approach

First, let’s take a globalized approach to understanding adolescent birth rates.

The World Bank provides us with adolescent birth rate data going back to the 1960’s, but also provides data for many other “Indicators”. These Indicators often vary from country to country, but all countries also have these Indicators: Survival to age 65, female (% of cohort) and Survival to age 65, male (% of cohort). Let’s use it to see a bigger picture about how mens and womens health care and how they affect young teenagers having kids. Is there any correlation?

  1. Create a new variable and plotting a density plot of pregnency rates of all the countries given in our tidy dataset.

In general, let’s note that the data is skewed to the left. That means in our data set, going back to the 1960’s, most countries have 0-150 births per thousand girls age 15-19. Very few have more than that. It is very likely that if we included data from the 1800’s to 1900’s this would look like a more normal distribution, because teenage births were quite common. Therefore, our data could be slightly biased.

  1. If we perform multiple linear regression on our Indicators Survival to age 65, female (% of cohort) and Survival to age 65, male (% of cohort) against Adolescent Pregnancy rates per 1000 teenagers from 15-19, we get the following

  2. Perform regression analysis for the gendered world indicators we considered above

## 
## Call:
## lm(formula = fertility$n ~ survival_65_female$n + survival_65_male$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -143.012  -18.619   -2.936   18.273  143.989 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          236.65239    1.12107  211.10   <2e-16 ***
## survival_65_female$n   0.90526    0.06529   13.86   <2e-16 ***
## survival_65_male$n    -3.13280    0.05915  -52.96   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 32.31 on 13437 degrees of freedom
## Multiple R-squared:  0.6169, Adjusted R-squared:  0.6168 
## F-statistic: 1.082e+04 on 2 and 13437 DF,  p-value: < 2.2e-16

Our equation is

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = \beta_0 + \beta_1(Percent \; survival \; to \; 64, \; male) + \beta_2(Percent \; survival \; to \; 64, female)\] \[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = 236.65 + .90526(Percent \; survival \; to \; 64, \; male) - 3.1328 (Percent \; survival \; to \; 64, female)\]

From this, we can already see that both percent survival variables are correlated to adolescent birth rates. In general, births per 1,000 women ages 15-19 are 236.65239 and increase by .905 births as the percent of males 64+ increases by 1% and decrease by 3.1328 births as the percent of females 64+ increases by 1%. We can see that an increase in care for women leads to less teenage births – despite the massive age gap. This could be because of things like influences from maternal figures such as mothers, aunts, and grandmothers that are around and can nuture the young women in the family. Interestingly, percent of males increases births, although when done separately, both female and male percents decrease adolescent pregnancy.

Note that the residuals are relatively normal and we have a large population size.

Next, let’s use these same Indicators and run multiple linear regression for our three countries in question: Philippines, United States, and Switzerland.

Philippines
  1. Density plot for Philippines fertility rate

The Philippines has a similar density plot to the world, and actually doesn’t have a very high maximum in comparison. It is still skewed to the left.

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_p$n ~ male_65_percent_phi$n + female_65_percent_phi$n)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -6.519 -2.903 -0.166  2.140  8.649 
## 
## Coefficients:
##                         Estimate Std. Error t value Pr(>|t|)    
## (Intercept)             -132.002     52.366  -2.521 0.014754 *  
## male_65_percent_phi$n      8.780      2.145   4.093 0.000146 ***
## female_65_percent_phi$n   -4.544      1.020  -4.454 4.38e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.637 on 53 degrees of freedom
## Multiple R-squared:  0.4336, Adjusted R-squared:  0.4122 
## F-statistic: 20.29 on 2 and 53 DF,  p-value: 2.87e-07

The model has an R2 of .82 and a p-value less than .05. The equation is

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = \beta_0 + \beta_1(Percent \; survival \; to \; 64, \; male) + \beta_2(Percent \; survival \; to \; 64, female)\] \[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = -132.002 + 8.780(Percent \; survival \; to \; 64, \; male) - 4.544 (Percent \; survival \; to \; 64, female)\]

Notice how much of an increase male survival impacts adolescent pregnancy. An article, published in August points us to a potential reason why.

“The Philippines is struggling to manage its soaring teen pregnancy rates. The United Nations Population Fund (UNFPA) has found that teen pregnancies in the Philippines increased by 65% from 2000-2010. An estimated 24 babies are born to teen mothers every hour. Now, advocates and health workers are identifying a new trend: Teenage girls are not just getting pregnant, but doing so with much older men. They say it’s the need for financial security that drives girls into such relationships.” https://www.globalcitizen.org/en/content/teen-pregnancy-older-men-philippines/

This isn’t a foreign concept to for many filipinos. Research says there are many filipino men who travel back to their homeland with promises of money or material goods for a night or ongoing relationship with an underage girl. Underage for American standards, that is. The age of consent back home is only 12 years old.

On a more positive note, there is hope. Every percent of elder females decreases births per 1000 by 4. As mentioned before, perhaps an increase in care for women leads to less teenage births. This could be because of influences from matornly figures such as mothers, aunts, and grandmothers that are around and can nurture young women in the family. Family is incredibly important in the Philippines. If women can be role models or nurture their young daughters/sons to be careful, then we could potentially positively impact birth rates in the Philippines.

To view the relationship between the Indicators, we can observe trends in the graph below.

From this graph, it’s clear that decrease in adolescent rates is proportional to increase in female and male survival rates.

United States

The United States follows a very normal distribution, as shown by the linear relationship shown earlier. In contrast to the World density plot, we have a normal distribution.

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_u$n ~ male_65_percent_usa$n + female_65_percent_usa$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -15.1155  -3.9812  -0.4512   3.3197  13.1536 
## 
## Coefficients:
##                         Estimate Std. Error t value Pr(>|t|)    
## (Intercept)              543.980     92.907   5.855 3.08e-07 ***
## male_65_percent_usa$n      1.814      1.055   1.719 0.091404 .  
## female_65_percent_usa$n   -7.410      2.006  -3.694 0.000523 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 5.935 on 53 degrees of freedom
## Multiple R-squared:  0.8282, Adjusted R-squared:  0.8217 
## F-statistic: 127.7 on 2 and 53 DF,  p-value: < 2.2e-16

Here, our R2 is .82 and the p-value is less than .05. Our equation is

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = \beta_0 + \beta_1(Percent \; survival \; to \; 64, \; male) + \beta_2(Percent \; survival \; to \; 64, female)\]

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = 543.980 + 1.814(Percent \; survival \; to \; 64, \; male) - 7.410 (Percent \; survival \; to \; 64, female)\]

Similar story as the Philippines is being shown here.

To view the relationship between the Indicators, we can observe trends in the graph below.

Similar to Philippines,In USA, rate of fertility decreases as the survival rates of male and female increases.

Switzerland

Switzerland’s density chart is skewed to the left, likely because for a long period of time, adolescent birth rates were quite high, nearing the maximum for the world. Some factor is pushing them towards having less teenage pregnancies consistently from 1967 onwards.

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_p$n ~ male_65_percent_Swi$n + female_65_percent_Swi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.8018 -0.9680  0.0979  0.7998  6.7864 
## 
## Coefficients:
##                         Estimate Std. Error t value Pr(>|t|)    
## (Intercept)             348.2660    16.8120   20.71   <2e-16 ***
## male_65_percent_Swi$n     2.9366     0.2046   14.35   <2e-16 ***
## female_65_percent_Swi$n  -5.9310     0.3656  -16.22   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.806 on 53 degrees of freedom
## Multiple R-squared:  0.8604, Adjusted R-squared:  0.8551 
## F-statistic: 163.3 on 2 and 53 DF,  p-value: < 2.2e-16

Here, R2 is .86 and the p-value is less than .05. This may show us that there are alternative factors that aren’t related to medial advances. We do however, see a similar trend with male and female survival rates – although there is much less of a gendered distinction. Our equation is

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = \beta_0 + \beta_1(Percent \; survival \; to \; 64, \; male) + \beta_2(Percent \; survival \; to \; 64, female)\]

\[ \widehat{\mathrm{births \; per \; 1,000 \; women \; ages \; 15-19}} = 348.2660 + 2.9366(Percent \; survival \; to \; 64, \; male) - 5.9310 (Percent \; survival \; to \; 64, female)\]

To view the relationship between the Indicators, we can observe trends in the graph below.

As we see clearly, the survival age of females upto or more than 65 years of age has an inverse impact on the adolescent fertility rates. As the survival rate of females increases, the adolescent fertility rate in Swizerland, decreases drastically.

Backward Elimination Approach

Since many of the indicators included (161 in total) don’t have complete information, we will only analyze the ones with more than 25 values. In general, factors were broken down into three main categories as data permits:

  1. Employment
  2. Education
  3. Health
Philippines

The following factors are the values that we will be regressing against adolescent pregnancy rates for the Philippines.

## [1] Labor force participation rate, female (% of female population ages 15+) (modeled ILO estimate)
## [2] Labor force participation rate, male (% of male population ages 15+) (modeled ILO estimate)    
## [3] Labor force, female (% of total labor force)                                                   
## [4] Lifetime risk of maternal death (%)                                                            
## [5] Lifetime risk of maternal death (1 in: rate varies by country)                                 
## [6] Maternal mortality ratio (modeled estimate, per 100,000 live births)                           
## [7] Prevalence of HIV, female (% ages 15-24)                                                       
## 161 Levels: Account at a financial institution, female (% age 15+) ...

Employment

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_phi_emp$n ~ female_agriculture$n + female_industry$n + 
##     female_services$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.5812 -1.3614 -0.2444  0.6337  6.3384 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          1327.677    326.365   4.068 0.000223 ***
## female_agriculture$n  -12.723      3.224  -3.946 0.000322 ***
## female_industry$n     -13.546      3.487  -3.885 0.000385 ***
## female_services$n     -12.594      3.242  -3.885 0.000386 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.343 on 39 degrees of freedom
## Multiple R-squared:  0.4194, Adjusted R-squared:  0.3747 
## F-statistic:  9.39 on 3 and 39 DF,  p-value: 8.45e-05

Even removing variables with the highest p-values, we do not have a very good model in terms of R2. I do not believe these employment metrics are a very useful to understand adolescent pregnancy in the Philippines. It is however better than looking at any one sector by itself, which yielded R2 values around .11.

Education

## 
## Call:
## lm(formula = fertility_phi_edu$n ~ female_primary_education_phi$n + 
##     female_school_enrollment_phi$n + male_school_enrollment_phi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.6510 -0.9744 -0.3875  1.0896  2.4366 
## 
## Coefficients:
##                                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    494.8829    90.0198   5.497 9.09e-06 ***
## female_primary_education_phi$n  -8.8507     1.6384  -5.402 1.17e-05 ***
## female_school_enrollment_phi$n   2.0464     0.3832   5.341 1.37e-05 ***
## male_school_enrollment_phi$n    -2.1453     0.4686  -4.578 0.000103 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.485 on 26 degrees of freedom
## Multiple R-squared:  0.6056, Adjusted R-squared:  0.5601 
## F-statistic: 13.31 on 3 and 26 DF,  p-value: 1.86e-05

Since this model doesn’t have a very high R2, let’s run simple linear regression on the variable with the highest R2 and the most likely to affect teenage pregnancy – female school enrollment.

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_phi_edu$n ~ female_school_enrollment_phi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.7072 -1.5055 -0.8293  2.0301  4.0793 
## 
## Coefficients:
##                                Estimate Std. Error t value Pr(>|t|)  
## (Intercept)                     19.2076    15.0947   1.272   0.2137  
## female_school_enrollment_phi$n   0.3046     0.1401   2.174   0.0383 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.108 on 28 degrees of freedom
## Multiple R-squared:  0.1444, Adjusted R-squared:  0.1139 
## F-statistic: 4.726 on 1 and 28 DF,  p-value: 0.03831

For a single variable, this has one of the highest correlations. What does it tell us? That when the risk of death increases, births decrease. A pretty obvious statement, but perhaps the reason we have such an uptick in adolescent birth rates is actually because of something we would deem GOOD in the Philippines – access to health care is improving. The only issue? Access to birth control in this heavily orthodox country is heavily regulated and deemed morally wrong.

I find this as a very interesting metric – why is it that female enrollment does not decrease birth rates? Schools must not be teaching children ways of preventing pregnancy. In fact, the more females are in school, the higher birth rates are (slight correlation). They could be teaching the complete opposite, and Orthodox schools could be teaching children to be fearful of contraceptives. This is a common narative in the Documentary Motherland. Children were refusing free IUDs that would prevent pregnancy for up to 10 years – out of fear. Schools need to teach that contraceptives are benefical. I also find it interesting that we can use statistics to understand relationships even when they aren’t statistically significant – like this one.

Health

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_phi_health$n ~ risk_maternal_death$n + 
##     maternal_mortality_ratio$n + HIV_male_15to24$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.40026 -0.91039 -0.00734  0.45542  2.80484 
## 
## Coefficients:
##                             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 33.53837    4.30786   7.785 9.24e-08 ***
## risk_maternal_death$n      -43.52231    3.74912 -11.609 7.49e-11 ***
## maternal_mortality_ratio$n   0.27339    0.03856   7.090 4.12e-07 ***
## HIV_male_15to24$n           61.05476    8.59186   7.106 3.98e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.027 on 22 degrees of freedom
## Multiple R-squared:  0.925,  Adjusted R-squared:  0.9148 
## F-statistic:  90.5 on 3 and 22 DF,  p-value: 1.568e-12

Health is by far our best model for understanding adolescent birth rates in the philippines, with an adjusted R squared of .91. I think the most interesting metric, is that the risk of maternal death. Let’s do simple regression on this indicator.

## 
## Call:
## lm(formula = fertility_phi_health$n ~ risk_maternal_death$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.0460 -1.0595  0.0821  0.7907  4.5236 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)             70.166      2.660  26.378  < 2e-16 ***
## risk_maternal_death$n  -34.190      5.407  -6.323 1.55e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.199 on 24 degrees of freedom
## Multiple R-squared:  0.6249, Adjusted R-squared:  0.6093 
## F-statistic: 39.99 on 1 and 24 DF,  p-value: 1.547e-06

For a single variable, this has one of the highest correlations. What does it tell us? That when the risk of death increases, births decrease. While its good that maternal death rates are decreasing during pregancies, it’s not good that teenage girls are having more pregancies. Perhaps teenage pregnancies were always high – but there are less birth related deaths now? Doesn’t really account for the sudden uptick after rates were decreasing in the 70s.

One thing to note, is that access to birth control isn’t very good in the Philippines. In this heavily orthodox country, it is deemed morally wrong and absinence is the only good option.

With an increase in maternal death rate, rate of adolescent fertility decreases.

United States

The following are factors we are using for understanding adolescent pregnancy in the United States.

Employment

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_usa_emp$n ~ male_industry_usa$n + male_services_usa$n + 
##     percent_female_family_contributes_usa$n + male_self_emp_usa$n + 
##     male_agriculture_usa$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.8889 -1.3204  0.0098  1.1188  3.2995 
## 
## Coefficients:
##                                           Estimate Std. Error t value
## (Intercept)                             -20747.372   7939.192  -2.613
## male_industry_usa$n                        208.263     79.437   2.622
## male_services_usa$n                        206.514     79.376   2.602
## percent_female_family_contributes_usa$n    -29.255      2.548 -11.480
## male_self_emp_usa$n                         10.434      1.026  10.166
## male_agriculture_usa$n                     205.526     79.241   2.594
##                                         Pr(>|t|)    
## (Intercept)                               0.0145 *  
## male_industry_usa$n                       0.0142 *  
## male_services_usa$n                       0.0149 *  
## percent_female_family_contributes_usa$n 6.79e-12 ***
## male_self_emp_usa$n                     9.97e-11 ***
## male_agriculture_usa$n                    0.0152 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.922 on 27 degrees of freedom
## Multiple R-squared:  0.9725, Adjusted R-squared:  0.9674 
## F-statistic: 190.6 on 5 and 27 DF,  p-value: < 2.2e-16

For The United States of America, it appears as though Employment actually plays a very big role in family planning, a narative that has been said for many years as women are accepted more and more into the workplace. In fact, the most important variable here is percent_female_workers_usa, and generates a statistically significant model using simple linear regression.

## 
## Call:
## lm(formula = fertility_usa_emp$n ~ percent_female_workers_usa$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -8.6354 -2.6870  0.3658  1.8562 12.1302 
## 
## Coefficients:
##                              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                  1723.788    137.349   12.55 1.09e-13 ***
## percent_female_workers_usa$n  -17.905      1.465  -12.22 2.18e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.481 on 31 degrees of freedom
## Multiple R-squared:  0.8281, Adjusted R-squared:  0.8225 
## F-statistic: 149.3 on 1 and 31 DF,  p-value: 2.181e-13

As one can see from the graph below, the more females in the workplace, the less adolescent births within the United States of America.

Residuals appear nearly normal. As the percent of female workers increase in USA, adolescent fertility rate decreases.

Education

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_usa_edu$n ~ female_primary_edu_usa$n + 
##     gross_school_enrollment_usa$n + female_primary_school_enrollment_usa$n + 
##     male_primary_school_enrollment_usa$n + gross_secondary_school_enrollment_usa$n + 
##     male_secondary_school_enrollment_usa$n + female_secondary_education_usa$n + 
##     gross_tertiary_enrollment_usa$n + female_tertiary_enrollment_usa$n + 
##     male_tertiary_enrollment_usa$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.86932 -0.92455  0.01899  0.67581  2.85783 
## 
## Coefficients:
##                                           Estimate Std. Error t value
## (Intercept)                             -6321.7290  1871.6004  -3.378
## female_primary_edu_usa$n                  -41.3183     5.2062  -7.936
## gross_school_enrollment_usa$n            8038.3195  1906.9879   4.215
## female_primary_school_enrollment_usa$n    -68.5551    18.5062  -3.704
## male_primary_school_enrollment_usa$n       70.7308    18.5655   3.810
## gross_secondary_school_enrollment_usa$n   352.4974    50.2126   7.020
## male_secondary_school_enrollment_usa$n     -1.9978     0.2214  -9.025
## female_secondary_education_usa$n          -14.4225     1.8847  -7.652
## gross_tertiary_enrollment_usa$n           462.1723    40.3458  11.455
## female_tertiary_enrollment_usa$n           -7.8488     0.6921 -11.341
## male_tertiary_enrollment_usa$n             11.1162     0.9594  11.586
##                                         Pr(>|t|)    
## (Intercept)                             0.002991 ** 
## female_primary_edu_usa$n                1.32e-07 ***
## gross_school_enrollment_usa$n           0.000425 ***
## female_primary_school_enrollment_usa$n  0.001403 ** 
## male_primary_school_enrollment_usa$n    0.001097 ** 
## gross_secondary_school_enrollment_usa$n 8.25e-07 ***
## male_secondary_school_enrollment_usa$n  1.73e-08 ***
## female_secondary_education_usa$n        2.30e-07 ***
## gross_tertiary_enrollment_usa$n         3.08e-10 ***
## female_tertiary_enrollment_usa$n        3.67e-10 ***
## male_tertiary_enrollment_usa$n          2.52e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.599 on 20 degrees of freedom
## Multiple R-squared:  0.9827, Adjusted R-squared:  0.9741 
## F-statistic: 113.7 on 10 and 20 DF,  p-value: 2.245e-15

I think we can see that there is a big difference in how education and employment affects adolescent birth rates in USA. Nearly every value is statistically significant in our model.

Female tertiary enrollment (high school) was a very important variable. I’m sure if college level education was included, that would be the most successful.

## 
## Call:
## lm(formula = fertility_usa_edu$n ~ female_tertiary_enrollment_usa$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -15.374  -2.824  -1.682   0.756  13.901 
## 
## Coefficients:
##                                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                      78.80793    5.42280  14.533 7.58e-15 ***
## female_tertiary_enrollment_usa$n -0.39050    0.06306  -6.193 9.40e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.627 on 29 degrees of freedom
## Multiple R-squared:  0.5694, Adjusted R-squared:  0.5546 
## F-statistic: 38.35 on 1 and 29 DF,  p-value: 9.402e-07

Residuals appear nearly normal. With an increase rate of females enrolled in High school, Adolescent fertility rate decreases.

Switzerland

The following factors are the values that we will be regressing against adolescent pregnancy rates for Switzerland

Employment

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_Swi$n ~ female_family_workers_Swi$n + 
##     male_family_workers_Swi$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.93267 -0.28758  0.00145  0.39440  0.95974 
## 
## Coefficients:
##                             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                  0.53786    0.99368   0.541    0.594    
## female_family_workers_Swi$n  0.80754    0.09482   8.516 2.06e-08 ***
## male_family_workers_Swi$n    0.88435    0.62280   1.420    0.170    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.5216 on 22 degrees of freedom
## Multiple R-squared:  0.7977, Adjusted R-squared:  0.7793 
## F-statistic: 43.37 on 2 and 22 DF,  p-value: 2.325e-08

Employmeny also seems to be a big factor that dictates adolescent pregnancy.

Let’s take one variable for analysis. Female family workers in Switzerland appear to be an important factor for decreasing adolescent pregnancy rates, with an R2 of .7793

## 
## Call:
## lm(formula = fertility_Swi$n ~ female_family_workers_Swi$n)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.07403 -0.26076  0.03333  0.30501  0.79725 
## 
## Coefficients:
##                             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                  1.85822    0.35801   5.190 2.91e-05 ***
## female_family_workers_Swi$n  0.84263    0.09355   9.008 5.29e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.533 on 23 degrees of freedom
## Multiple R-squared:  0.7791, Adjusted R-squared:  0.7695 
## F-statistic: 81.14 on 1 and 23 DF,  p-value: 5.286e-09

This appears to follow a logrithmic function, but interestingly, we have an inverse relationship between female family workers and adolescent pregnancy. While in America, females being included in the workplace decreased rates of pregnancy, Switzerland seems to follow same concept.

Residuals appear nearly normal. Threfore, with decrease in rate of female family workers, adolescent fertility rate increases drastically.

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_Swi$n ~ male_family_workers_Swi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.7340 -0.9537  0.1553  0.5637  2.0509 
## 
## Coefficients:
##                           Estimate Std. Error t value Pr(>|t|)  
## (Intercept)                  1.224      2.008   0.610   0.5481  
## male_family_workers_Swi$n    2.267      1.219   1.859   0.0758 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.057 on 23 degrees of freedom
## Multiple R-squared:  0.1307, Adjusted R-squared:  0.09288 
## F-statistic: 3.457 on 1 and 23 DF,  p-value: 0.07581

Also, with decrease in rate of male labour force, adolescent fertility rate decreases.

Health

  1. Perform regression analysis for the gendered world indicators we considered above
## 
## Call:
## lm(formula = fertility_Swi$n ~ survival_65_female_Swi$n + survival_65_male_Swi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.4670 -0.7952 -0.2550  0.4503  4.0306 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)    
## (Intercept)              221.3466    17.3825  12.734  < 2e-16 ***
## survival_65_female_Swi$n  -2.9753     0.3780  -7.872 1.79e-10 ***
## survival_65_male_Swi$n     0.6687     0.2116   3.161   0.0026 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.867 on 53 degrees of freedom
## Multiple R-squared:  0.9193, Adjusted R-squared:  0.9163 
## F-statistic:   302 on 2 and 53 DF,  p-value: < 2.2e-16

Health is also correlated with adolescent pregnancy. Let’s dive deeper to find out how by looking at just one of these variables.

## 
## Call:
## lm(formula = fertility_Swi$n ~ survival_65_female_Swi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.7905 -1.6367 -0.0799  1.3348  3.8579 
## 
## Coefficients:
##                           Estimate Std. Error t value Pr(>|t|)    
## (Intercept)              170.49501    7.11300   23.97   <2e-16 ***
## survival_65_female_Swi$n  -1.80365    0.07993  -22.57   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.017 on 54 degrees of freedom
## Multiple R-squared:  0.9041, Adjusted R-squared:  0.9023 
## F-statistic: 509.2 on 1 and 54 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = fertility_Swi$n ~ survival_65_male_Swi$n)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.1349 -2.5323  0.2333  2.0977  4.7194 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            87.02313    4.83440   18.00   <2e-16 ***
## survival_65_male_Swi$n -0.96432    0.06044  -15.96   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.725 on 54 degrees of freedom
## Multiple R-squared:  0.825,  Adjusted R-squared:  0.8218 
## F-statistic: 254.6 on 1 and 54 DF,  p-value: < 2.2e-16

Just like in the Philippines, the risk of maternal death is highly correlated with adolescent pregnancy, however the higher the risk the higher the pregnancy. It is likely then that female health is improving in Swizerland in general and that females are more likely to use contraception than in the Philippines.

Inference

Let’s conduct hypothesis tests for the three countries we analyzed(Philippines, United States, Switzerland) taking the adolescent fertility rates as response variable and various world indicators as exploratory variable.

Check conditions

  1. The random condition

Sample means are unbiased estimators of their population mean. Therefore, the random condition is satisfied.

  1. The normal condition

There is approximate normality in the sampling distribution when sample size is greater than or equal to, 30. Also, If the parent population is normally distributed, then the sampling distribution of is approximately normal regardless of sample size.

  1. The independence condition

The 10% condition says that if we sample 10% or less of the population, we can treat individual observations as independent since removing each observation doesn’t change the population all that much as we sample. For instance, if our sample size is n = 30 there should to be at least N=300 members in the population for the sample to meet the independence condition.

Therefore our sample data satisfies the 10% condition and hence it fulfills the independence condition.

Philippines

Confidence Interval

ANOVA Analysis

We will conduct an ANOVA analysis to test the confidence interval, to know the 95% confidence level and difference between the mean rate of adolescent fertility through 1960 to 2015.

## $names
##  [1] "coefficients"  "residuals"     "effects"       "rank"         
##  [5] "fitted.values" "assign"        "qr"            "df.residual"  
##  [9] "contrasts"     "xlevels"       "call"          "terms"        
## [13] "model"        
## 
## $class
## [1] "aov" "lm"
##                    Df    Sum Sq   Mean Sq F value Pr(>F)
## Philippines$year   55 1.273e+11 2.315e+09   0.523  0.999
## Residuals        2308 1.022e+13 4.428e+09

Conduct a Tukey’s multiple comparison procedure

Tukey’s multiple comparison

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Philippines$n ~ Philippines$year)
## 
## $`Philippines$year`
##                    diff        lwr       upr     p adj
## 1961-1960 -5.215700e-01 -134775.15 134774.11 1.0000000
## 1962-1960 -1.044890e+00 -134775.67 134773.58 1.0000000
## 1963-1960 -1.459215e+00 -134776.09 134773.17 1.0000000
## 1964-1960 -1.875289e+00 -134776.50 134772.75 1.0000000
## 1965-1960 -2.291990e+00 -134776.92 134772.33 1.0000000
## 1966-1960 -2.708815e+00 -134777.34 134771.92 1.0000000
## 1967-1960 -3.125764e+00 -134777.75 134771.50 1.0000000
## 1968-1960 -1.349840e+01 -130990.89 130963.90 1.0000000
## 1969-1960 -3.952044e+00 -134778.58 134770.67 1.0000000
## 1970-1960 -5.290704e+01 -112813.45 112707.64 1.0000000
## 1971-1960 -4.485308e+01 -114581.26 114491.56 1.0000000
## 1972-1960 -4.383659e+01 -116762.09 116674.41 1.0000000
## 1973-1960 -4.629708e+01 -115614.59 115521.99 1.0000000
## 1974-1960 -3.573079e+01 -119500.67 119429.21 1.0000000
## 1975-1960 -5.264605e+01 -110692.11 110586.82 1.0000000
## 1976-1960 -3.717991e+01 -114573.59 114499.23 1.0000000
## 1977-1960 -3.651249e+01 -119501.45 119428.43 1.0000000
## 1978-1960 -3.904406e+01 -118047.04 117968.95 1.0000000
## 1979-1960 -3.099693e+01 -125279.80 125217.81 1.0000000
## 1980-1960 -5.472356e+01 -108558.61 108449.16 1.0000000
## 1981-1960  1.443709e+04  -90921.08 119795.26 1.0000000
## 1982-1960  1.511142e+04  -90520.05 120742.90 1.0000000
## 1983-1960  1.711890e+04  -87499.91 121737.71 1.0000000
## 1984-1960  1.896312e+04  -85655.69 123581.92 1.0000000
## 1985-1960 -4.219478e+01 -105400.37 105315.98 1.0000000
## 1986-1960  1.351258e+04  -91106.22 118131.39 1.0000000
## 1987-1960  1.363704e+04  -91215.81 118489.90 1.0000000
## 1988-1960  9.464979e+03  -95634.01 114563.97 1.0000000
## 1989-1960  6.554862e+03  -99365.22 112474.95 1.0000000
## 1990-1960  3.111153e+03 -100143.85 106366.16 1.0000000
## 1991-1960 -5.321350e+01 -104906.07 104799.64 1.0000000
## 1992-1960 -5.274273e+01 -103839.99 103734.51 1.0000000
## 1993-1960 -4.353418e+01 -103135.67 103048.61 1.0000000
## 1994-1960 -5.343275e+01 -104906.29 104799.42 1.0000000
## 1995-1960 -5.256717e+01 -103654.65 103549.51 1.0000000
## 1996-1960 -5.602242e+01 -104036.90 103924.86 1.0000000
## 1997-1960 -4.819835e+01 -103835.45 103739.05 1.0000000
## 1998-1960  1.166299e+04  -88346.05 111672.02 1.0000000
## 1999-1960  1.663426e+04  -83556.11 116824.64 1.0000000
## 2000-1960 -5.958869e+01 -100970.25 100851.07 1.0000000
## 2001-1960  1.289175e+04  -86380.83 112164.32 1.0000000
## 2002-1960  1.451395e+04  -85381.49 114409.38 1.0000000
## 2003-1960  1.130741e+04  -87659.36 110274.18 1.0000000
## 2004-1960  1.335092e+04  -85963.51 112665.35 1.0000000
## 2005-1960  1.631197e+04  -83475.22 116099.16 1.0000000
## 2006-1960  1.920130e+04  -80639.36 119041.97 1.0000000
## 2007-1960  2.003149e+04  -80096.90 120159.88 1.0000000
## 2008-1960  1.258702e+04  -86148.37 111322.40 1.0000000
## 2009-1960  1.402961e+04  -86038.35 114097.58 1.0000000
## 2010-1960 -6.388226e+01 -100893.09 100765.33 1.0000000
## 2011-1960 -6.380038e+01 -100813.90 100686.30 1.0000000
## 2012-1960 -6.170053e+01 -103316.70 103193.30 1.0000000
## 2013-1960  3.377080e+03  -95127.23 101881.39 1.0000000
## 2014-1960 -6.304123e+01 -103155.18 103029.10 1.0000000
## 2015-1960 -6.617523e+01 -102568.58 102436.23 1.0000000
## 1962-1961 -5.233200e-01 -134775.15 134774.10 1.0000000
## 1963-1961 -9.376450e-01 -134775.56 134773.69 1.0000000
## 1964-1961 -1.353719e+00 -134775.98 134773.27 1.0000000
## 1965-1961 -1.770420e+00 -134776.40 134772.86 1.0000000
## 1966-1961 -2.187245e+00 -134776.81 134772.44 1.0000000
## 1967-1961 -2.604194e+00 -134777.23 134772.02 1.0000000
## 1968-1961 -1.297683e+01 -130990.37 130964.42 1.0000000
## 1969-1961 -3.430474e+00 -134778.06 134771.20 1.0000000
## 1970-1961 -5.238547e+01 -112812.93 112708.16 1.0000000
## 1971-1961 -4.433151e+01 -114580.74 114492.08 1.0000000
## 1972-1961 -4.331502e+01 -116761.57 116674.94 1.0000000
## 1973-1961 -4.577551e+01 -115614.06 115522.51 1.0000000
## 1974-1961 -3.520922e+01 -119500.15 119429.73 1.0000000
## 1975-1961 -5.212448e+01 -110691.59 110587.34 1.0000000
## 1976-1961 -3.665834e+01 -114573.07 114499.75 1.0000000
## 1977-1961 -3.599092e+01 -119500.93 119428.95 1.0000000
## 1978-1961 -3.852249e+01 -118046.52 117969.47 1.0000000
## 1979-1961 -3.047536e+01 -125279.28 125218.33 1.0000000
## 1980-1961 -5.420199e+01 -108558.09 108449.68 1.0000000
## 1981-1961  1.443761e+04  -90920.56 119795.79 1.0000000
## 1982-1961  1.511194e+04  -90519.53 120743.42 1.0000000
## 1983-1961  1.711942e+04  -87499.39 121738.23 1.0000000
## 1984-1961  1.896364e+04  -85655.17 123582.45 1.0000000
## 1985-1961 -4.167321e+01 -105399.85 105316.50 1.0000000
## 1986-1961  1.351311e+04  -91105.70 118131.91 1.0000000
## 1987-1961  1.363757e+04  -91215.29 118490.42 1.0000000
## 1988-1961  9.465501e+03  -95633.49 114564.49 1.0000000
## 1989-1961  6.555384e+03  -99364.70 112475.47 1.0000000
## 1990-1961  3.111674e+03 -100143.33 106366.68 1.0000000
## 1991-1961 -5.269193e+01 -104905.55 104800.16 1.0000000
## 1992-1961 -5.222116e+01 -103839.47 103735.03 1.0000000
## 1993-1961 -4.301261e+01 -103135.15 103049.13 1.0000000
## 1994-1961 -5.291118e+01 -104905.77 104799.94 1.0000000
## 1995-1961 -5.204560e+01 -103654.13 103550.03 1.0000000
## 1996-1961 -5.550085e+01 -104036.38 103925.38 1.0000000
## 1997-1961 -4.767678e+01 -103834.93 103739.57 1.0000000
## 1998-1961  1.166351e+04  -88345.52 111672.54 1.0000000
## 1999-1961  1.663479e+04  -83555.59 116825.16 1.0000000
## 2000-1961 -5.906712e+01 -100969.72 100851.59 1.0000000
## 2001-1961  1.289227e+04  -86380.31 112164.85 1.0000000
## 2002-1961  1.451447e+04  -85380.97 114409.90 1.0000000
## 2003-1961  1.130793e+04  -87658.84 110274.70 1.0000000
## 2004-1961  1.335144e+04  -85962.98 112665.87 1.0000000
## 2005-1961  1.631249e+04  -83474.70 116099.68 1.0000000
## 2006-1961  1.920182e+04  -80638.84 119042.49 1.0000000
## 2007-1961  2.003201e+04  -80096.38 120160.40 1.0000000
## 2008-1961  1.258754e+04  -86147.84 111322.93 1.0000000
## 2009-1961  1.403013e+04  -86037.83 114098.10 1.0000000
## 2010-1961 -6.336069e+01 -100892.57 100765.85 1.0000000
## 2011-1961 -6.327881e+01 -100813.38 100686.82 1.0000000
## 2012-1961 -6.117896e+01 -103316.18 103193.82 1.0000000
## 2013-1961  3.377602e+03  -95126.70 101881.91 1.0000000
## 2014-1961 -6.251966e+01 -103154.66 103029.62 1.0000000
## 2015-1961 -6.565366e+01 -102568.06 102436.75 1.0000000
## 1963-1962 -4.143250e-01 -134775.04 134774.21 1.0000000
## 1964-1962 -8.303987e-01 -134775.46 134773.80 1.0000000
## 1965-1962 -1.247100e+00 -134775.87 134773.38 1.0000000
## 1966-1962 -1.663925e+00 -134776.29 134772.96 1.0000000
## 1967-1962 -2.080874e+00 -134776.71 134772.55 1.0000000
## 1968-1962 -1.245351e+01 -130989.85 130964.94 1.0000000
## 1969-1962 -2.907154e+00 -134777.53 134771.72 1.0000000
## 1970-1962 -5.186215e+01 -112812.41 112708.68 1.0000000
## 1971-1962 -4.380819e+01 -114580.22 114492.60 1.0000000
## 1972-1962 -4.279170e+01 -116761.04 116675.46 1.0000000
## 1973-1962 -4.525219e+01 -115613.54 115523.04 1.0000000
## 1974-1962 -3.468590e+01 -119499.62 119430.25 1.0000000
## 1975-1962 -5.160116e+01 -110691.07 110587.86 1.0000000
## 1976-1962 -3.613502e+01 -114572.54 114500.27 1.0000000
## 1977-1962 -3.546760e+01 -119500.41 119429.47 1.0000000
## 1978-1962 -3.799917e+01 -118045.99 117970.00 1.0000000
## 1979-1962 -2.995204e+01 -125278.76 125218.86 1.0000000
## 1980-1962 -5.367867e+01 -108557.56 108450.20 1.0000000
## 1981-1962  1.443814e+04  -90920.03 119796.31 1.0000000
## 1982-1962  1.511247e+04  -90519.01 120743.94 1.0000000
## 1983-1962  1.711994e+04  -87498.86 121738.75 1.0000000
## 1984-1962  1.896416e+04  -85654.65 123582.97 1.0000000
## 1985-1962 -4.114989e+01 -105399.32 105317.02 1.0000000
## 1986-1962  1.351363e+04  -91105.18 118132.44 1.0000000
## 1987-1962  1.363809e+04  -91214.77 118490.94 1.0000000
## 1988-1962  9.466024e+03  -95632.96 114565.01 1.0000000
## 1989-1962  6.555907e+03  -99364.18 112475.99 1.0000000
## 1990-1962  3.112198e+03 -100142.81 106367.20 1.0000000
## 1991-1962 -5.216861e+01 -104905.02 104800.69 1.0000000
## 1992-1962 -5.169784e+01 -103838.95 103735.55 1.0000000
## 1993-1962 -4.248929e+01 -103134.63 103049.65 1.0000000
## 1994-1962 -5.238786e+01 -104905.24 104800.47 1.0000000
## 1995-1962 -5.152228e+01 -103653.60 103550.56 1.0000000
## 1996-1962 -5.497753e+01 -104035.86 103925.90 1.0000000
## 1997-1962 -4.715346e+01 -103834.40 103740.10 1.0000000
## 1998-1962  1.166403e+04  -88345.00 111673.06 1.0000000
## 1999-1962  1.663531e+04  -83555.06 116825.68 1.0000000
## 2000-1962 -5.854380e+01 -100969.20 100852.11 1.0000000
## 2001-1962  1.289279e+04  -86379.79 112165.37 1.0000000
## 2002-1962  1.451499e+04  -85380.44 114410.42 1.0000000
## 2003-1962  1.130846e+04  -87658.31 110275.23 1.0000000
## 2004-1962  1.335197e+04  -85962.46 112666.40 1.0000000
## 2005-1962  1.631302e+04  -83474.17 116100.21 1.0000000
## 2006-1962  1.920235e+04  -80638.32 119043.01 1.0000000
## 2007-1962  2.003253e+04  -80095.86 120160.92 1.0000000
## 2008-1962  1.258806e+04  -86147.32 111323.45 1.0000000
## 2009-1962  1.403066e+04  -86037.31 114098.62 1.0000000
## 2010-1962 -6.283737e+01 -100892.05 100766.37 1.0000000
## 2011-1962 -6.275549e+01 -100812.85 100687.34 1.0000000
## 2012-1962 -6.065564e+01 -103315.66 103194.35 1.0000000
## 2013-1962  3.378125e+03  -95126.18 101882.43 1.0000000
## 2014-1962 -6.199634e+01 -103154.14 103030.14 1.0000000
## 2015-1962 -6.513034e+01 -102567.54 102437.28 1.0000000
## 1964-1963 -4.160737e-01 -134775.04 134774.21 1.0000000
## 1965-1963 -8.327750e-01 -134775.46 134773.79 1.0000000
## 1966-1963 -1.249600e+00 -134775.88 134773.38 1.0000000
## 1967-1963 -1.666549e+00 -134776.29 134772.96 1.0000000
## 1968-1963 -1.203919e+01 -130989.43 130965.36 1.0000000
## 1969-1963 -2.492829e+00 -134777.12 134772.13 1.0000000
## 1970-1963 -5.144782e+01 -112811.99 112709.10 1.0000000
## 1971-1963 -4.339387e+01 -114579.80 114493.01 1.0000000
## 1972-1963 -4.237738e+01 -116760.63 116675.87 1.0000000
## 1973-1963 -4.483786e+01 -115613.13 115523.45 1.0000000
## 1974-1963 -3.427157e+01 -119499.21 119430.67 1.0000000
## 1975-1963 -5.118684e+01 -110690.65 110588.28 1.0000000
## 1976-1963 -3.572070e+01 -114572.13 114500.69 1.0000000
## 1977-1963 -3.505328e+01 -119499.99 119429.88 1.0000000
## 1978-1963 -3.758484e+01 -118045.58 117970.41 1.0000000
## 1979-1963 -2.953772e+01 -125278.34 125219.27 1.0000000
## 1980-1963 -5.326435e+01 -108557.15 108450.62 1.0000000
## 1981-1963  1.443855e+04  -90919.62 119796.72 1.0000000
## 1982-1963  1.511288e+04  -90518.60 120744.36 1.0000000
## 1983-1963  1.712036e+04  -87498.45 121739.17 1.0000000
## 1984-1963  1.896458e+04  -85654.23 123583.38 1.0000000
## 1985-1963 -4.073557e+01 -105398.91 105317.44 1.0000000
## 1986-1963  1.351404e+04  -91104.76 118132.85 1.0000000
## 1987-1963  1.363850e+04  -91214.35 118491.36 1.0000000
## 1988-1963  9.466439e+03  -95632.55 114565.43 1.0000000
## 1989-1963  6.556321e+03  -99363.77 112476.41 1.0000000
## 1990-1963  3.112612e+03 -100142.39 106367.62 1.0000000
## 1991-1963 -5.175428e+01 -104904.61 104801.10 1.0000000
## 1992-1963 -5.128351e+01 -103838.53 103735.97 1.0000000
## 1993-1963 -4.207497e+01 -103134.22 103050.07 1.0000000
## 1994-1963 -5.197353e+01 -104904.83 104800.88 1.0000000
## 1995-1963 -5.110796e+01 -103653.19 103550.97 1.0000000
## 1996-1963 -5.456321e+01 -104035.45 103926.32 1.0000000
## 1997-1963 -4.673913e+01 -103833.99 103740.51 1.0000000
## 1998-1963  1.166444e+04  -88344.59 111673.48 1.0000000
## 1999-1963  1.663572e+04  -83554.65 116826.10 1.0000000
## 2000-1963 -5.812948e+01 -100968.79 100852.53 1.0000000
## 2001-1963  1.289321e+04  -86379.37 112165.78 1.0000000
## 2002-1963  1.451540e+04  -85380.03 114410.84 1.0000000
## 2003-1963  1.130887e+04  -87657.90 110275.64 1.0000000
## 2004-1963  1.335238e+04  -85962.05 112666.81 1.0000000
## 2005-1963  1.631343e+04  -83473.76 116100.62 1.0000000
## 2006-1963  1.920276e+04  -80637.90 119043.43 1.0000000
## 2007-1963  2.003295e+04  -80095.45 120161.34 1.0000000
## 2008-1963  1.258848e+04  -86146.91 111323.86 1.0000000
## 2009-1963  1.403107e+04  -86036.89 114099.04 1.0000000
## 2010-1963 -6.242305e+01 -100891.63 100766.79 1.0000000
## 2011-1963 -6.234117e+01 -100812.44 100687.76 1.0000000
## 2012-1963 -6.024132e+01 -103315.24 103194.76 1.0000000
## 2013-1963  3.378540e+03  -95125.77 101882.85 1.0000000
## 2014-1963 -6.158201e+01 -103153.72 103030.56 1.0000000
## 2015-1963 -6.471602e+01 -102567.12 102437.69 1.0000000
## 1965-1964 -4.167013e-01 -134775.04 134774.21 1.0000000
## 1966-1964 -8.335263e-01 -134775.46 134773.79 1.0000000
## 1967-1964 -1.250475e+00 -134775.88 134773.38 1.0000000
## 1968-1964 -1.162312e+01 -130989.02 130965.77 1.0000000
## 1969-1964 -2.076755e+00 -134776.70 134772.55 1.0000000
## 1970-1964 -5.103175e+01 -112811.57 112709.51 1.0000000
## 1971-1964 -4.297779e+01 -114579.39 114493.43 1.0000000
## 1972-1964 -4.196130e+01 -116760.21 116676.29 1.0000000
## 1973-1964 -4.442179e+01 -115612.71 115523.87 1.0000000
## 1974-1964 -3.385550e+01 -119498.79 119431.08 1.0000000
## 1975-1964 -5.077077e+01 -110690.24 110588.69 1.0000000
## 1976-1964 -3.530463e+01 -114571.71 114501.10 1.0000000
## 1977-1964 -3.463721e+01 -119499.58 119430.30 1.0000000
## 1978-1964 -3.716877e+01 -118045.16 117970.83 1.0000000
## 1979-1964 -2.912164e+01 -125277.93 125219.69 1.0000000
## 1980-1964 -5.284828e+01 -108556.73 108451.03 1.0000000
## 1981-1964  1.443897e+04  -90919.20 119797.14 1.0000000
## 1982-1964  1.511330e+04  -90518.18 120744.77 1.0000000
## 1983-1964  1.712077e+04  -87498.03 121739.58 1.0000000
## 1984-1964  1.896499e+04  -85653.82 123583.80 1.0000000
## 1985-1964 -4.031950e+01 -105398.49 105317.85 1.0000000
## 1986-1964  1.351446e+04  -91104.35 118133.27 1.0000000
## 1987-1964  1.363892e+04  -91213.94 118491.77 1.0000000
## 1988-1964  9.466855e+03  -95632.13 114565.84 1.0000000
## 1989-1964  6.556737e+03  -99363.35 112476.82 1.0000000
## 1990-1964  3.113028e+03 -100141.98 106368.03 1.0000000
## 1991-1964 -5.133821e+01 -104904.19 104801.52 1.0000000
## 1992-1964 -5.086744e+01 -103838.12 103736.38 1.0000000
## 1993-1964 -4.165889e+01 -103133.80 103050.48 1.0000000
## 1994-1964 -5.155746e+01 -104904.41 104801.30 1.0000000
## 1995-1964 -5.069188e+01 -103652.77 103551.39 1.0000000
## 1996-1964 -5.414713e+01 -104035.03 103926.73 1.0000000
## 1997-1964 -4.632306e+01 -103833.57 103740.93 1.0000000
## 1998-1964  1.166486e+04  -88344.17 111673.89 1.0000000
## 1999-1964  1.663614e+04  -83554.23 116826.51 1.0000000
## 2000-1964 -5.771340e+01 -100968.37 100852.94 1.0000000
## 2001-1964  1.289362e+04  -86378.96 112166.20 1.0000000
## 2002-1964  1.451582e+04  -85379.61 114411.25 1.0000000
## 2003-1964  1.130929e+04  -87657.48 110276.06 1.0000000
## 2004-1964  1.335280e+04  -85961.63 112667.23 1.0000000
## 2005-1964  1.631385e+04  -83473.34 116101.04 1.0000000
## 2006-1964  1.920318e+04  -80637.49 119043.84 1.0000000
## 2007-1964  2.003336e+04  -80095.03 120161.75 1.0000000
## 2008-1964  1.258889e+04  -86146.49 111324.28 1.0000000
## 2009-1964  1.403149e+04  -86036.48 114099.45 1.0000000
## 2010-1964 -6.200698e+01 -100891.22 100767.20 1.0000000
## 2011-1964 -6.192510e+01 -100812.02 100688.17 1.0000000
## 2012-1964 -5.982524e+01 -103314.83 103195.18 1.0000000
## 2013-1964  3.378956e+03  -95125.35 101883.26 1.0000000
## 2014-1964 -6.116594e+01 -103153.31 103030.97 1.0000000
## 2015-1964 -6.429994e+01 -102566.71 102438.11 1.0000000
## 1966-1965 -4.168250e-01 -134775.04 134774.21 1.0000000
## 1967-1965 -8.337737e-01 -134775.46 134773.79 1.0000000
## 1968-1965 -1.120641e+01 -130988.60 130966.19 1.0000000
## 1969-1965 -1.660054e+00 -134776.29 134772.97 1.0000000
## 1970-1965 -5.061505e+01 -112811.16 112709.93 1.0000000
## 1971-1965 -4.256109e+01 -114578.97 114493.85 1.0000000
## 1972-1965 -4.154460e+01 -116759.80 116676.71 1.0000000
## 1973-1965 -4.400509e+01 -115612.29 115524.28 1.0000000
## 1974-1965 -3.343880e+01 -119498.38 119431.50 1.0000000
## 1975-1965 -5.035406e+01 -110689.82 110589.11 1.0000000
## 1976-1965 -3.488792e+01 -114571.30 114501.52 1.0000000
## 1977-1965 -3.422050e+01 -119499.16 119430.72 1.0000000
## 1978-1965 -3.675207e+01 -118044.75 117971.24 1.0000000
## 1979-1965 -2.870494e+01 -125277.51 125220.10 1.0000000
## 1980-1965 -5.243157e+01 -108556.31 108451.45 1.0000000
## 1981-1965  1.443938e+04  -90918.79 119797.56 1.0000000
## 1982-1965  1.511371e+04  -90517.76 120745.19 1.0000000
## 1983-1965  1.712119e+04  -87497.62 121740.00 1.0000000
## 1984-1965  1.896541e+04  -85653.40 123584.22 1.0000000
## 1985-1965 -3.990279e+01 -105398.08 105318.27 1.0000000
## 1986-1965  1.351488e+04  -91103.93 118133.68 1.0000000
## 1987-1965  1.363934e+04  -91213.52 118492.19 1.0000000
## 1988-1965  9.467271e+03  -95631.72 114566.26 1.0000000
## 1989-1965  6.557154e+03  -99362.93 112477.24 1.0000000
## 1990-1965  3.113445e+03 -100141.56 106368.45 1.0000000
## 1991-1965 -5.092151e+01 -104903.78 104801.93 1.0000000
## 1992-1965 -5.045074e+01 -103837.70 103736.80 1.0000000
## 1993-1965 -4.124219e+01 -103133.38 103050.90 1.0000000
## 1994-1965 -5.114076e+01 -104904.00 104801.71 1.0000000
## 1995-1965 -5.027518e+01 -103652.35 103551.80 1.0000000
## 1996-1965 -5.373043e+01 -104034.61 103927.15 1.0000000
## 1997-1965 -4.590636e+01 -103833.16 103741.34 1.0000000
## 1998-1965  1.166528e+04  -88343.75 111674.31 1.0000000
## 1999-1965  1.663656e+04  -83553.81 116826.93 1.0000000
## 2000-1965 -5.729670e+01 -100967.95 100853.36 1.0000000
## 2001-1965  1.289404e+04  -86378.54 112166.62 1.0000000
## 2002-1965  1.451624e+04  -85379.20 114411.67 1.0000000
## 2003-1965  1.130970e+04  -87657.07 110276.47 1.0000000
## 2004-1965  1.335322e+04  -85961.21 112667.64 1.0000000
## 2005-1965  1.631426e+04  -83472.93 116101.45 1.0000000
## 2006-1965  1.920359e+04  -80637.07 119044.26 1.0000000
## 2007-1965  2.003378e+04  -80094.61 120162.17 1.0000000
## 2008-1965  1.258931e+04  -86146.07 111324.70 1.0000000
## 2009-1965  1.403190e+04  -86036.06 114099.87 1.0000000
## 2010-1965 -6.159027e+01 -100890.80 100767.62 1.0000000
## 2011-1965 -6.150839e+01 -100811.61 100688.59 1.0000000
## 2012-1965 -5.940854e+01 -103314.41 103195.59 1.0000000
## 2013-1965  3.379372e+03  -95124.93 101883.68 1.0000000
## 2014-1965 -6.074924e+01 -103152.89 103031.39 1.0000000
## 2015-1965 -6.388324e+01 -102566.29 102438.52 1.0000000
## 1967-1966 -4.169487e-01 -134775.04 134774.21 1.0000000
## 1968-1966 -1.078959e+01 -130988.18 130966.60 1.0000000
## 1969-1966 -1.243229e+00 -134775.87 134773.38 1.0000000
## 1970-1966 -5.019822e+01 -112810.74 112710.34 1.0000000
## 1971-1966 -4.214427e+01 -114578.55 114494.26 1.0000000
## 1972-1966 -4.112778e+01 -116759.38 116677.12 1.0000000
## 1973-1966 -4.358826e+01 -115611.88 115524.70 1.0000000
## 1974-1966 -3.302197e+01 -119497.96 119431.92 1.0000000
## 1975-1966 -4.993724e+01 -110689.40 110589.53 1.0000000
## 1976-1966 -3.447110e+01 -114570.88 114501.94 1.0000000
## 1977-1966 -3.380368e+01 -119498.74 119431.13 1.0000000
## 1978-1966 -3.633524e+01 -118044.33 117971.66 1.0000000
## 1979-1966 -2.828812e+01 -125277.10 125220.52 1.0000000
## 1980-1966 -5.201475e+01 -108555.90 108451.87 1.0000000
## 1981-1966  1.443980e+04  -90918.37 119797.97 1.0000000
## 1982-1966  1.511413e+04  -90517.35 120745.60 1.0000000
## 1983-1966  1.712161e+04  -87497.20 121740.42 1.0000000
## 1984-1966  1.896583e+04  -85652.98 123584.63 1.0000000
## 1985-1966 -3.948597e+01 -105397.66 105318.69 1.0000000
## 1986-1966  1.351529e+04  -91103.51 118134.10 1.0000000
## 1987-1966  1.363975e+04  -91213.10 118492.61 1.0000000
## 1988-1966  9.467688e+03  -95631.30 114566.68 1.0000000
## 1989-1966  6.557571e+03  -99362.52 112477.66 1.0000000
## 1990-1966  3.113862e+03 -100141.14 106368.86 1.0000000
## 1991-1966 -5.050468e+01 -104903.36 104802.35 1.0000000
## 1992-1966 -5.003391e+01 -103837.28 103737.22 1.0000000
## 1993-1966 -4.082537e+01 -103132.97 103051.31 1.0000000
## 1994-1966 -5.072393e+01 -104903.58 104802.13 1.0000000
## 1995-1966 -4.985836e+01 -103651.94 103552.22 1.0000000
## 1996-1966 -5.331361e+01 -104034.20 103927.57 1.0000000
## 1997-1966 -4.548953e+01 -103832.74 103741.76 1.0000000
## 1998-1966  1.166569e+04  -88343.34 111674.73 1.0000000
## 1999-1966  1.663697e+04  -83553.40 116827.35 1.0000000
## 2000-1966 -5.687988e+01 -100967.54 100853.78 1.0000000
## 2001-1966  1.289445e+04  -86378.12 112167.03 1.0000000
## 2002-1966  1.451665e+04  -85378.78 114412.09 1.0000000
## 2003-1966  1.131012e+04  -87656.65 110276.89 1.0000000
## 2004-1966  1.335363e+04  -85960.80 112668.06 1.0000000
## 2005-1966  1.631468e+04  -83472.51 116101.87 1.0000000
## 2006-1966  1.920401e+04  -80636.65 119044.68 1.0000000
## 2007-1966  2.003420e+04  -80094.20 120162.59 1.0000000
## 2008-1966  1.258973e+04  -86145.66 111325.11 1.0000000
## 2009-1966  1.403232e+04  -86035.64 114100.29 1.0000000
## 2010-1966 -6.117345e+01 -100890.38 100768.04 1.0000000
## 2011-1966 -6.109157e+01 -100811.19 100689.01 1.0000000
## 2012-1966 -5.899172e+01 -103313.99 103196.01 1.0000000
## 2013-1966  3.379789e+03  -95124.52 101884.10 1.0000000
## 2014-1966 -6.033241e+01 -103152.47 103031.81 1.0000000
## 2015-1966 -6.346642e+01 -102565.87 102438.94 1.0000000
## 1968-1967 -1.037264e+01 -130987.77 130967.02 1.0000000
## 1969-1967 -8.262800e-01 -134775.45 134773.80 1.0000000
## 1970-1967 -4.978127e+01 -112810.32 112710.76 1.0000000
## 1971-1967 -4.172732e+01 -114578.14 114494.68 1.0000000
## 1972-1967 -4.071083e+01 -116758.96 116677.54 1.0000000
## 1973-1967 -4.317131e+01 -115611.46 115525.12 1.0000000
## 1974-1967 -3.260503e+01 -119497.54 119432.33 1.0000000
## 1975-1967 -4.952029e+01 -110688.99 110589.95 1.0000000
## 1976-1967 -3.405415e+01 -114570.46 114502.35 1.0000000
## 1977-1967 -3.338673e+01 -119498.32 119431.55 1.0000000
## 1978-1967 -3.591829e+01 -118043.91 117972.08 1.0000000
## 1979-1967 -2.787117e+01 -125276.68 125220.94 1.0000000
## 1980-1967 -5.159780e+01 -108555.48 108452.29 1.0000000
## 1981-1967  1.444022e+04  -90917.95 119798.39 1.0000000
## 1982-1967  1.511455e+04  -90516.93 120746.02 1.0000000
## 1983-1967  1.712202e+04  -87496.78 121740.83 1.0000000
## 1984-1967  1.896624e+04  -85652.56 123585.05 1.0000000
## 1985-1967 -3.906902e+01 -105397.24 105319.10 1.0000000
## 1986-1967  1.351571e+04  -91103.10 118134.52 1.0000000
## 1987-1967  1.364017e+04  -91212.68 118493.02 1.0000000
## 1988-1967  9.468105e+03  -95630.88 114567.09 1.0000000
## 1989-1967  6.557988e+03  -99362.10 112478.07 1.0000000
## 1990-1967  3.114279e+03 -100140.72 106369.28 1.0000000
## 1991-1967 -5.008773e+01 -104902.94 104802.77 1.0000000
## 1992-1967 -4.961696e+01 -103836.87 103737.63 1.0000000
## 1993-1967 -4.040842e+01 -103132.55 103051.73 1.0000000
## 1994-1967 -5.030698e+01 -104903.16 104802.55 1.0000000
## 1995-1967 -4.944141e+01 -103651.52 103552.64 1.0000000
## 1996-1967 -5.289666e+01 -104033.78 103927.99 1.0000000
## 1997-1967 -4.507259e+01 -103832.32 103742.18 1.0000000
## 1998-1967  1.166611e+04  -88342.92 111675.14 1.0000000
## 1999-1967  1.663739e+04  -83552.98 116827.76 1.0000000
## 2000-1967 -5.646293e+01 -100967.12 100854.19 1.0000000
## 2001-1967  1.289487e+04  -86377.71 112167.45 1.0000000
## 2002-1967  1.451707e+04  -85378.36 114412.50 1.0000000
## 2003-1967  1.131054e+04  -87656.23 110277.31 1.0000000
## 2004-1967  1.335405e+04  -85960.38 112668.48 1.0000000
## 2005-1967  1.631510e+04  -83472.09 116102.29 1.0000000
## 2006-1967  1.920443e+04  -80636.24 119045.09 1.0000000
## 2007-1967  2.003461e+04  -80093.78 120163.00 1.0000000
## 2008-1967  1.259014e+04  -86145.24 111325.53 1.0000000
## 2009-1967  1.403274e+04  -86035.23 114100.70 1.0000000
## 2010-1967 -6.075650e+01 -100889.97 100768.45 1.0000000
## 2011-1967 -6.067462e+01 -100810.77 100689.42 1.0000000
## 2012-1967 -5.857477e+01 -103313.58 103196.43 1.0000000
## 2013-1967  3.380206e+03  -95124.10 101884.51 1.0000000
## 2014-1967 -5.991546e+01 -103152.06 103032.22 1.0000000
## 2015-1967 -6.304947e+01 -102565.46 102439.36 1.0000000
## 1969-1968  9.546360e+00 -130967.85 130986.94 1.0000000
## 1970-1968 -3.940863e+01 -108232.84 108154.02 1.0000000
## 1971-1968 -3.135468e+01 -110074.38 110011.67 1.0000000
## 1972-1968 -3.033819e+01 -112342.53 112281.85 1.0000000
## 1973-1968 -3.279867e+01 -111149.44 111083.84 1.0000000
## 1974-1968 -2.223239e+01 -115186.24 115141.78 1.0000000
## 1975-1968 -3.914765e+01 -106020.13 105941.84 1.0000000
## 1976-1968 -2.368151e+01 -110066.70 110019.34 1.0000000
## 1977-1968 -2.301409e+01 -115187.02 115141.00 1.0000000
## 1978-1968 -2.554565e+01 -113677.49 113626.40 1.0000000
## 1979-1968 -1.749853e+01 -121170.88 121135.88 1.0000000
## 1980-1968 -4.122516e+01 -103790.78 103708.33 1.0000000
## 1981-1968  1.445059e+04  -86004.48 114905.67 1.0000000
## 1982-1968  1.512492e+04  -85616.76 115866.60 1.0000000
## 1983-1968  1.713240e+04  -82546.95 116811.75 1.0000000
## 1984-1968  1.897662e+04  -80702.73 118655.96 1.0000000
## 1985-1968 -2.869638e+01 -100483.77 100426.38 1.0000000
## 1986-1968  1.352608e+04  -86153.27 113205.43 1.0000000
## 1987-1968  1.365054e+04  -86274.42 113575.51 1.0000000
## 1988-1968  9.478478e+03  -90704.73 109661.69 1.0000000
## 1989-1968  6.568361e+03  -94475.90 107612.62 1.0000000
## 1990-1968  3.124651e+03  -95122.35 101371.65 1.0000000
## 1991-1968 -3.971509e+01  -99964.68  99885.25 1.0000000
## 1992-1968 -3.924432e+01  -98845.47  98766.98 1.0000000
## 1993-1968 -3.003578e+01  -98105.86  98045.79 1.0000000
## 1994-1968 -3.993434e+01  -99964.90  99885.03 1.0000000
## 1995-1968 -3.906877e+01  -98650.78  98572.64 1.0000000
## 1996-1968 -4.252402e+01  -99052.13  98967.08 1.0000000
## 1997-1968 -3.469995e+01  -98840.93  98771.53 1.0000000
## 1998-1968  1.167648e+04  -83153.28 106506.25 1.0000000
## 1999-1968  1.664776e+04  -78373.23 111668.75 1.0000000
## 2000-1968 -4.609029e+01  -95826.25  95734.07 1.0000000
## 2001-1968  1.290524e+04  -81147.52 106958.01 1.0000000
## 2002-1968  1.452744e+04  -80182.51 109237.40 1.0000000
## 2003-1968  1.132091e+04  -82409.02 105050.84 1.0000000
## 2004-1968  1.336442e+04  -80732.52 107461.36 1.0000000
## 2005-1968  1.632547e+04  -78270.31 110921.25 1.0000000
## 2006-1968  1.921480e+04  -75437.39 113866.99 1.0000000
## 2007-1968  2.004499e+04  -74910.65 115000.62 1.0000000
## 2008-1968  1.260052e+04  -80885.06 106086.10 1.0000000
## 2009-1968  1.404311e+04  -80848.80 108935.02 1.0000000
## 2010-1968 -5.038386e+01  -95744.73  95643.96 1.0000000
## 2011-1968 -5.030198e+01  -95661.29  95560.68 1.0000000
## 2012-1968 -4.820213e+01  -98295.20  98198.80 1.0000000
## 2013-1968  3.390579e+03  -89850.91  96632.07 1.0000000
## 2014-1968 -4.954282e+01  -98125.37  98026.28 1.0000000
## 2015-1968 -5.267683e+01  -97508.42  97403.06 1.0000000
## 1970-1969 -4.895499e+01 -112809.50 112711.59 1.0000000
## 1971-1969 -4.090104e+01 -114577.31 114495.51 1.0000000
## 1972-1969 -3.988455e+01 -116758.14 116678.37 1.0000000
## 1973-1969 -4.234503e+01 -115610.63 115525.94 1.0000000
## 1974-1969 -3.177875e+01 -119496.72 119433.16 1.0000000
## 1975-1969 -4.869401e+01 -110688.16 110590.77 1.0000000
## 1976-1969 -3.322787e+01 -114569.64 114503.18 1.0000000
## 1977-1969 -3.256045e+01 -119497.50 119432.38 1.0000000
## 1978-1969 -3.509201e+01 -118043.09 117972.90 1.0000000
## 1979-1969 -2.704489e+01 -125275.85 125221.76 1.0000000
## 1980-1969 -5.077152e+01 -108554.65 108453.11 1.0000000
## 1981-1969  1.444104e+04  -90917.13 119799.22 1.0000000
## 1982-1969  1.511537e+04  -90516.10 120746.85 1.0000000
## 1983-1969  1.712285e+04  -87495.96 121741.66 1.0000000
## 1984-1969  1.896707e+04  -85651.74 123585.88 1.0000000
## 1985-1969 -3.824274e+01 -105396.42 105319.93 1.0000000
## 1986-1969  1.351654e+04  -91102.27 118135.34 1.0000000
## 1987-1969  1.364100e+04  -91211.86 118493.85 1.0000000
## 1988-1969  9.468931e+03  -95630.06 114567.92 1.0000000
## 1989-1969  6.558814e+03  -99361.27 112478.90 1.0000000
## 1990-1969  3.115105e+03 -100139.90 106370.11 1.0000000
## 1991-1969 -4.926145e+01 -104902.12 104803.59 1.0000000
## 1992-1969 -4.879068e+01 -103836.04 103738.46 1.0000000
## 1993-1969 -3.958214e+01 -103131.72 103052.56 1.0000000
## 1994-1969 -4.948070e+01 -104902.34 104803.37 1.0000000
## 1995-1969 -4.861513e+01 -103650.69 103553.46 1.0000000
## 1996-1969 -5.207038e+01 -104032.95 103928.81 1.0000000
## 1997-1969 -4.424631e+01 -103831.50 103743.00 1.0000000
## 1998-1969  1.166694e+04  -88342.09 111675.97 1.0000000
## 1999-1969  1.663822e+04  -83552.15 116828.59 1.0000000
## 2000-1969 -5.563665e+01 -100966.29 100855.02 1.0000000
## 2001-1969  1.289570e+04  -86376.88 112168.28 1.0000000
## 2002-1969  1.451790e+04  -85377.54 114413.33 1.0000000
## 2003-1969  1.131136e+04  -87655.41 110278.13 1.0000000
## 2004-1969  1.335488e+04  -85959.55 112669.30 1.0000000
## 2005-1969  1.631592e+04  -83471.27 116103.11 1.0000000
## 2006-1969  1.920525e+04  -80635.41 119045.92 1.0000000
## 2007-1969  2.003544e+04  -80092.95 120163.83 1.0000000
## 2008-1969  1.259097e+04  -86144.41 111326.36 1.0000000
## 2009-1969  1.403356e+04  -86034.40 114101.53 1.0000000
## 2010-1969 -5.993022e+01 -100889.14 100769.28 1.0000000
## 2011-1969 -5.984834e+01 -100809.95 100690.25 1.0000000
## 2012-1969 -5.774849e+01 -103312.75 103197.25 1.0000000
## 2013-1969  3.381032e+03  -95123.27 101885.34 1.0000000
## 2014-1969 -5.908918e+01 -103151.23 103033.05 1.0000000
## 2015-1969 -6.222319e+01 -102564.63 102440.18 1.0000000
## 1971-1970  8.053954e+00  -87566.65  87582.76 1.0000000
## 1972-1970  9.070442e+00  -90400.50  90418.64 1.0000000
## 1973-1970  6.609960e+00  -88913.41  88926.63 1.0000000
## 1974-1970  1.717625e+01  -93911.58  93945.93 1.0000000
## 1975-1970  2.609813e-01  -82412.31  82412.83 1.0000000
## 1976-1970  1.572712e+01  -87558.98  87590.43 1.0000000
## 1977-1970  1.639454e+01  -93912.36  93945.15 1.0000000
## 1978-1970  1.386298e+01  -92054.73  92082.46 1.0000000
## 1979-1970  2.191011e+01 -101161.11 101204.93 1.0000000
## 1980-1970 -1.816529e+00  -79524.35  79520.71 1.0000000
## 1981-1970  1.449000e+04  -60683.70  89663.69 1.0000000
## 1982-1970  1.516433e+04  -60391.93  90720.59 1.0000000
## 1983-1970  1.717181e+04  -56962.09  91305.70 1.0000000
## 1984-1970  1.901602e+04  -55117.87  93149.92 1.0000000
## 1985-1970  1.071225e+01  -75162.98  75184.41 1.0000000
## 1986-1970  1.356549e+04  -60568.41  87699.39 1.0000000
## 1987-1970  1.368995e+04  -60773.87  88153.78 1.0000000
## 1988-1970  9.517886e+03  -65292.12  84327.89 1.0000000
## 1989-1970  6.607769e+03  -69351.46  82567.00 1.0000000
## 1990-1970  3.164060e+03  -69032.45  75360.57 1.0000000
## 1991-1970 -3.064628e-01  -74464.13  74463.52 1.0000000
## 1992-1970  1.643099e-01  -72955.53  72955.86 1.0000000
## 1993-1970  9.372855e+00  -71954.02  71972.76 1.0000000
## 1994-1970 -5.257101e-01  -74464.35  74463.30 1.0000000
## 1995-1970  3.398649e-01  -72691.69  72692.37 1.0000000
## 1996-1970 -3.115388e+00  -73234.01  73227.78 1.0000000
## 1997-1970  4.708687e+00  -72950.98  72960.40 1.0000000
## 1998-1970  1.171589e+04  -55756.67  79188.45 1.0000000
## 1999-1970  1.668717e+04  -51053.88  84428.23 1.0000000
## 2000-1970 -6.681656e+00  -68808.58  68795.21 1.0000000
## 2001-1970  1.294465e+04  -53431.43  79320.74 1.0000000
## 2002-1970  1.456685e+04  -52737.22  81870.92 1.0000000
## 2003-1970  1.136032e+04  -54557.52  77278.16 1.0000000
## 2004-1970  1.340383e+04  -53034.83  79842.49 1.0000000
## 2005-1970  1.636488e+04  -50778.42  83508.18 1.0000000
## 2006-1970  1.925421e+04  -47968.54  86476.96 1.0000000
## 2007-1970  2.008439e+04  -47564.96  87733.75 1.0000000
## 2008-1970  1.263993e+04  -52930.01  78209.86 1.0000000
## 2009-1970  1.408252e+04  -53477.36  81642.40 1.0000000
## 2010-1970 -1.097523e+01  -68693.36  68671.41 1.0000000
## 2011-1970 -1.089335e+01  -68577.08  68555.30 1.0000000
## 2012-1970 -8.793496e+00  -72205.30  72187.71 1.0000000
## 2013-1970  3.429987e+03  -61791.47  68651.44 1.0000000
## 2014-1970 -1.013419e+01  -71973.52  71953.25 1.0000000
## 2015-1970 -1.326820e+01  -71129.25  71102.72 1.0000000
## 1972-1971  1.016489e+00  -92613.99  92616.02 1.0000000
## 1973-1971 -1.443993e+00  -91162.94  91160.05 1.0000000
## 1974-1971  9.122293e+00  -96044.30  96062.55 1.0000000
## 1975-1971 -7.792972e+00  -84833.97  84818.38 1.0000000
## 1976-1971  7.673168e+00  -89842.08  89857.42 1.0000000
## 1977-1971  8.340587e+00  -96045.08  96061.77 1.0000000
## 1978-1971  5.809024e+00  -94229.41  94241.02 1.0000000
## 1979-1971  1.385615e+01 -103144.53 103172.24 1.0000000
## 1980-1971 -9.870482e+00  -82031.10  82011.36 1.0000000
## 1981-1971  1.448195e+04  -63330.22  92294.11 1.0000000
## 1982-1971  1.515627e+04  -63025.55  93338.10 1.0000000
## 1983-1971  1.716375e+04  -59644.35  93971.85 1.0000000
## 1984-1971  1.900797e+04  -57800.13  95816.07 1.0000000
## 1985-1971  2.658298e+00  -77809.51  77814.83 1.0000000
## 1986-1971  1.355744e+04  -63250.66  90365.53 1.0000000
## 1987-1971  1.368190e+04  -63444.69  90808.48 1.0000000
## 1988-1971  9.509833e+03  -67951.04  86970.70 1.0000000
## 1989-1971  6.599715e+03  -71971.61  85171.04 1.0000000
## 1990-1971  3.156006e+03  -71783.87  78095.88 1.0000000
## 1991-1971 -8.360416e+00  -77134.94  77118.22 1.0000000
## 1992-1971 -7.889644e+00  -75679.43  75663.65 1.0000000
## 1993-1971  1.318901e+00  -74714.00  74716.63 1.0000000
## 1994-1971 -8.579664e+00  -77135.16  77118.00 1.0000000
## 1995-1971 -7.714089e+00  -75425.08  75409.66 1.0000000
## 1996-1971 -1.116934e+01  -75948.07  75925.73 1.0000000
## 1997-1971 -3.345267e+00  -75674.89  75668.19 1.0000000
## 1998-1971  1.170784e+04  -58692.41  82108.09 1.0000000
## 1999-1971  1.667912e+04  -53978.50  87336.74 1.0000000
## 2000-1971 -1.473561e+01  -71690.04  71660.57 1.0000000
## 2001-1971  1.293660e+04  -56413.48  82286.68 1.0000000
## 2002-1971  1.455880e+04  -55679.98  84797.58 1.0000000
## 2003-1971  1.135226e+04  -57559.35  80263.88 1.0000000
## 2004-1971  1.339578e+04  -56014.20  82805.75 1.0000000
## 2005-1971  1.635683e+04  -53727.92  86441.57 1.0000000
## 2006-1971  1.924616e+04  -50914.71  89407.02 1.0000000
## 2007-1971  2.007634e+04  -50493.37  90646.05 1.0000000
## 2008-1971  1.263187e+04  -55947.02  81210.77 1.0000000
## 2009-1971  1.407447e+04  -56409.48  84558.41 1.0000000
## 2010-1971 -1.902918e+01  -71579.62  71541.57 1.0000000
## 2011-1971 -1.894730e+01  -71468.03  71430.13 1.0000000
## 2012-1971 -1.684745e+01  -74956.72  74923.03 1.0000000
## 2013-1971  3.421934e+03  -64823.85  71667.72 1.0000000
## 2014-1971 -1.818814e+01  -74733.50  74697.13 1.0000000
## 2015-1971 -2.132215e+01  -73920.79  73878.15 1.0000000
## 1973-1972 -2.460482e+00  -93890.58  93885.66 1.0000000
## 1974-1972  8.105804e+00  -98636.82  98653.03 1.0000000
## 1975-1972 -8.809461e+00  -87758.69  87741.07 1.0000000
## 1976-1972  6.656679e+00  -92608.35  92621.66 1.0000000
## 1977-1972  7.324098e+00  -98637.60  98652.25 1.0000000
## 1978-1972  4.792536e+00  -96870.57  96880.16 1.0000000
## 1979-1972  1.283966e+01 -105562.79 105588.47 1.0000000
## 1980-1972 -1.088697e+01  -85052.30  85030.53 1.0000000
## 1981-1972  1.448093e+04  -66508.54  95470.40 1.0000000
## 1982-1972  1.515526e+04  -66189.43  96499.95 1.0000000
## 1983-1972  1.716274e+04  -62862.54  97188.01 1.0000000
## 1984-1972  1.900695e+04  -61018.32  99032.23 1.0000000
## 1985-1972  1.641809e+00  -80987.83  80991.11 1.0000000
## 1986-1972  1.355642e+04  -66468.86  93581.70 1.0000000
## 1987-1972  1.368088e+04  -66650.13  94011.89 1.0000000
## 1988-1972  9.508816e+03  -71143.20  90160.83 1.0000000
## 1989-1972  6.598699e+03  -75120.42  88317.82 1.0000000
## 1990-1972  3.154990e+03  -75078.93  81388.91 1.0000000
## 1991-1972 -9.376905e+00  -80340.39  80321.63 1.0000000
## 1992-1972 -8.906132e+00  -78943.96  78926.15 1.0000000
## 1993-1972  3.024126e-01  -78018.54  78019.14 1.0000000
## 1994-1972 -9.596152e+00  -80340.61  80321.41 1.0000000
## 1995-1972 -8.730577e+00  -78700.16  78682.70 1.0000000
## 1996-1972 -1.218583e+01  -79201.67  79177.29 1.0000000
## 1997-1972 -4.361756e+00  -78939.42  78930.69 1.0000000
## 1998-1972  1.170682e+04  -62190.11  85603.75 1.0000000
## 1999-1972  1.667810e+04  -57464.06  90820.27 1.0000000
## 2000-1972 -1.575210e+01  -75128.40  75096.90 1.0000000
## 2001-1972  1.293558e+04  -59961.57  85832.73 1.0000000
## 2002-1972  1.455778e+04  -59185.34  88300.90 1.0000000
## 2003-1972  1.135125e+04  -61128.90  83831.39 1.0000000
## 2004-1972  1.339476e+04  -59559.38  86348.90 1.0000000
## 2005-1972  1.635581e+04  -57240.61  89952.23 1.0000000
## 2006-1972  1.924514e+04  -54423.77  92914.05 1.0000000
## 2007-1972  2.007532e+04  -53983.06  94133.71 1.0000000
## 2008-1972  1.263086e+04  -59533.03  84794.74 1.0000000
## 2009-1972  1.407345e+04  -59903.22  88050.12 1.0000000
## 2010-1972 -2.004567e+01  -75023.24  74983.15 1.0000000
## 2011-1972 -1.996379e+01  -74916.78  74876.85 1.0000000
## 2012-1972 -1.786394e+01  -78251.78  78216.05 1.0000000
## 2013-1972  3.420917e+03  -68426.48  75268.31 1.0000000
## 2014-1972 -1.920463e+01  -78038.04  77999.64 1.0000000
## 2015-1972 -2.233864e+01  -77260.24  77215.56 1.0000000
## 1974-1973  1.056629e+01  -97270.99  97292.12 1.0000000
## 1975-1973 -6.348979e+00  -86220.74  86208.04 1.0000000
## 1976-1973  9.117161e+00  -91152.38  91170.61 1.0000000
## 1977-1973  9.784580e+00  -97271.77  97291.34 1.0000000
## 1978-1973  7.253017e+00  -95479.48  95493.99 1.0000000
## 1979-1973  1.530014e+01 -104287.59 104318.19 1.0000000
## 1980-1973 -8.426489e+00  -83464.53  83447.68 1.0000000
## 1981-1973  1.448339e+04  -64839.83  93806.61 1.0000000
## 1982-1973  1.515772e+04  -64528.15  94843.59 1.0000000
## 1983-1973  1.716520e+04  -61173.33  95503.72 1.0000000
## 1984-1973  1.900941e+04  -59329.11  97347.94 1.0000000
## 1985-1973  4.102291e+00  -79319.12  79327.33 1.0000000
## 1986-1973  1.355888e+04  -64779.64  91897.41 1.0000000
## 1987-1973  1.368334e+04  -64967.47  92334.15 1.0000000
## 1988-1973  9.511277e+03  -69467.37  88489.92 1.0000000
## 1989-1973  6.601159e+03  -73466.90  86669.22 1.0000000
## 1990-1973  3.157450e+03  -73350.23  79665.13 1.0000000
## 1991-1973 -6.916423e+00  -78657.73  78643.90 1.0000000
## 1992-1973 -6.445650e+00  -77230.94  77218.05 1.0000000
## 1993-1973  2.762894e+00  -76284.97  76290.50 1.0000000
## 1994-1973 -7.135670e+00  -78657.95  78643.68 1.0000000
## 1995-1973 -6.270095e+00  -76981.72  76969.18 1.0000000
## 1996-1973 -9.725348e+00  -77494.26  77474.81 1.0000000
## 1997-1973 -1.901274e+00  -77226.40  77222.59 1.0000000
## 1998-1973  1.170928e+04  -60357.60  83776.17 1.0000000
## 1999-1973  1.668056e+04  -55637.76  88998.89 1.0000000
## 2000-1973 -1.329162e+01  -73326.25  73299.67 1.0000000
## 2001-1973  1.293804e+04  -58103.31  83979.40 1.0000000
## 2002-1973  1.456024e+04  -57348.92  86469.40 1.0000000
## 2003-1973  1.135371e+04  -59259.68  81967.10 1.0000000
## 2004-1973  1.339722e+04  -57702.61  84497.05 1.0000000
## 2005-1973  1.635827e+04  -55400.44  88116.98 1.0000000
## 2006-1973  1.924760e+04  -52585.46  91080.66 1.0000000
## 2007-1973  2.007778e+04  -52154.65  92310.22 1.0000000
## 2008-1973  1.263332e+04  -57655.41  82922.05 1.0000000
## 2009-1973  1.407591e+04  -58072.73  86224.55 1.0000000
## 2010-1973 -1.758519e+01  -73218.40  73183.23 1.0000000
## 2011-1973 -1.750331e+01  -73109.31  73074.30 1.0000000
## 2012-1973 -1.540346e+01  -76523.08  76492.28 1.0000000
## 2013-1973  3.423378e+03  -66540.38  73387.14 1.0000000
## 2014-1973 -1.674415e+01  -76304.48  76270.99 1.0000000
## 2015-1973 -1.987816e+01  -75508.77  75469.01 1.0000000
## 1975-1974 -1.691526e+01  -91388.48  91354.65 1.0000000
## 1976-1974 -1.449125e+00  -96054.87  96051.98 1.0000000
## 1977-1974 -7.817057e-01 -101880.82 101879.26 1.0000000
## 1978-1974 -3.313268e+00 -100170.96 100164.34 1.0000000
## 1979-1974  4.733859e+00 -108599.76 108609.22 1.0000000
## 1980-1974 -1.899277e+01  -88792.66  88754.67 1.0000000
## 1981-1974  1.447282e+04  -70427.21  99372.86 1.0000000
## 1982-1974  1.514715e+04  -70091.81 100386.11 1.0000000
## 1983-1974  1.715463e+04  -66826.12 101135.38 1.0000000
## 1984-1974  1.899885e+04  -64981.90 102979.60 1.0000000
## 1985-1974 -6.463995e+00  -84906.50  84893.57 1.0000000
## 1986-1974  1.354832e+04  -70432.43  97529.06 1.0000000
## 1987-1974  1.367277e+04  -70599.36  97944.91 1.0000000
## 1988-1974  9.500710e+03  -75077.47  94078.89 1.0000000
## 1989-1974  6.590593e+03  -79005.76  92186.95 1.0000000
## 1990-1974  3.146884e+03  -79128.67  85422.44 1.0000000
## 1991-1974 -1.748271e+01  -84289.62  84254.65 1.0000000
## 1992-1974 -1.701194e+01  -82959.55  82925.53 1.0000000
## 1993-1974 -7.803391e+00  -82078.88  82063.27 1.0000000
## 1994-1974 -1.770196e+01  -84289.84  84254.43 1.0000000
## 1995-1974 -1.683638e+01  -82727.55  82693.88 1.0000000
## 1996-1974 -2.029163e+01  -83205.00  83164.41 1.0000000
## 1997-1974 -1.246756e+01  -82955.00  82930.07 1.0000000
## 1998-1974  1.169872e+04  -66464.43  89861.86 1.0000000
## 1999-1974  1.667000e+04  -61725.04  95065.03 1.0000000
## 2000-1974 -2.385790e+01  -79337.36  79289.65 1.0000000
## 2001-1974  1.292748e+04  -64291.15  90146.10 1.0000000
## 2002-1974  1.454968e+04  -63468.07  92567.42 1.0000000
## 2003-1974  1.134314e+04  -65481.94  88168.22 1.0000000
## 2004-1974  1.338665e+04  -63885.77  90659.08 1.0000000
## 2005-1974  1.634770e+04  -61531.40  94226.81 1.0000000
## 2006-1974  1.923703e+04  -58710.58  97184.64 1.0000000
## 2007-1974  2.006722e+04  -58248.59  98383.03 1.0000000
## 2008-1974  1.262275e+04  -63904.03  89149.53 1.0000000
## 2009-1974  1.406534e+04  -64173.20  92303.88 1.0000000
## 2010-1974 -2.815148e+01  -79238.01  79181.70 1.0000000
## 2011-1974 -2.806960e+01  -79137.20  79081.06 1.0000000
## 2012-1974 -2.596974e+01  -82301.53  82249.59 1.0000000
## 2013-1974  3.412811e+03  -72815.59  79641.22 1.0000000
## 2014-1974 -2.731044e+01  -82098.38  82043.76 1.0000000
## 2015-1974 -3.044444e+01  -81359.50  81298.61 1.0000000
## 1976-1975  1.546614e+01  -84810.71  84841.64 1.0000000
## 1977-1975  1.613356e+01  -91355.43  91387.70 1.0000000
## 1978-1975  1.360200e+01  -89444.65  89471.85 1.0000000
## 1979-1975  2.164912e+01  -98792.09  98835.39 1.0000000
## 1980-1975 -2.077510e+00  -76487.27  76483.11 1.0000000
## 1981-1975  1.448974e+04  -57463.27  86442.75 1.0000000
## 1982-1975  1.516407e+04  -57188.54  87516.67 1.0000000
## 1983-1975  1.717154e+04  -53694.43  88037.52 1.0000000
## 1984-1975  1.901576e+04  -51850.21  89881.74 1.0000000
## 1985-1975  1.045127e+01  -71942.56  71963.46 1.0000000
## 1986-1975  1.356523e+04  -57300.74  84431.20 1.0000000
## 1987-1975  1.368969e+04  -57521.35  84900.73 1.0000000
## 1988-1975  9.517626e+03  -62055.33  81090.59 1.0000000
## 1989-1975  6.607508e+03  -66165.81  79380.83 1.0000000
## 1990-1975  3.163799e+03  -65672.87  72000.47 1.0000000
## 1991-1975 -5.674442e-01  -71211.61  71210.47 1.0000000
## 1992-1975 -9.667144e-02  -69632.59  69632.40 1.0000000
## 1993-1975  9.111873e+00  -68583.02  68601.24 1.0000000
## 1994-1975 -7.866915e-01  -71211.83  71210.25 1.0000000
## 1995-1975  7.888357e-02  -69356.12  69356.28 1.0000000
## 1996-1975 -3.376369e+00  -69924.15  69917.40 1.0000000
## 1997-1975  4.447705e+00  -69628.05  69636.94 1.0000000
## 1998-1975  1.171563e+04  -52149.05  75580.31 1.0000000
## 1999-1975  1.668691e+04  -47461.37  80835.19 1.0000000
## 2000-1975 -6.942637e+00  -65274.48  65260.60 1.0000000
## 2001-1975  1.294439e+04  -49760.76  75649.54 1.0000000
## 2002-1975  1.456659e+04  -49120.05  78253.24 1.0000000
## 2003-1975  1.136006e+04  -50859.82  73579.93 1.0000000
## 2004-1975  1.340357e+04  -49367.82  76174.96 1.0000000
## 2005-1975  1.636462e+04  -47152.11  79881.34 1.0000000
## 2006-1975  1.925395e+04  -44346.76  82854.65 1.0000000
## 2007-1975  2.008413e+04  -43967.30  84135.57 1.0000000
## 2008-1975  1.263967e+04  -49211.51  74490.84 1.0000000
## 2009-1975  1.408226e+04  -49874.67  78039.19 1.0000000
## 2010-1975 -1.123621e+01  -65152.78  65130.31 1.0000000
## 2011-1975 -1.115433e+01  -65030.18  65007.87 1.0000000
## 2012-1975 -9.054478e+00  -68845.72  68827.61 1.0000000
## 2013-1975  3.429727e+03  -58051.89  64911.35 1.0000000
## 2014-1975 -1.039517e+01  -68602.53  68581.74 1.0000000
## 2015-1975 -1.352918e+01  -67716.07  67689.01 1.0000000
## 1977-1976  6.674189e-01  -96052.76  96054.09 1.0000000
## 1978-1976 -1.864144e+00  -94237.08  94233.35 1.0000000
## 1979-1976  6.182983e+00 -103152.20 103164.57 1.0000000
## 1980-1976 -1.754365e+01  -82038.77  82003.68 1.0000000
## 1981-1976  1.447427e+04  -63337.89  92286.44 1.0000000
## 1982-1976  1.514860e+04  -63033.22  93330.42 1.0000000
## 1983-1976  1.715608e+04  -59652.02  93964.18 1.0000000
## 1984-1976  1.900030e+04  -57807.80  95808.39 1.0000000
## 1985-1976 -5.014870e+00  -77817.18  77807.15 1.0000000
## 1986-1976  1.354976e+04  -63258.33  90357.86 1.0000000
## 1987-1976  1.367422e+04  -63452.36  90800.81 1.0000000
## 1988-1976  9.502159e+03  -67958.71  86963.03 1.0000000
## 1989-1976  6.592042e+03  -71979.29  85163.37 1.0000000
## 1990-1976  3.148333e+03  -71791.54  78088.21 1.0000000
## 1991-1976 -1.603358e+01  -77142.62  77110.55 1.0000000
## 1992-1976 -1.556281e+01  -75687.10  75655.98 1.0000000
## 1993-1976 -6.354267e+00  -74721.67  74708.96 1.0000000
## 1994-1976 -1.625283e+01  -77142.84  77110.33 1.0000000
## 1995-1976 -1.538726e+01  -75432.76  75401.98 1.0000000
## 1996-1976 -1.884251e+01  -75955.74  75918.06 1.0000000
## 1997-1976 -1.101844e+01  -75682.56  75660.52 1.0000000
## 1998-1976  1.170017e+04  -58700.08  82100.42 1.0000000
## 1999-1976  1.667144e+04  -53986.18  87329.07 1.0000000
## 2000-1976 -2.240878e+01  -71697.71  71652.90 1.0000000
## 2001-1976  1.292893e+04  -56421.15  82279.01 1.0000000
## 2002-1976  1.455112e+04  -55687.66  84789.91 1.0000000
## 2003-1976  1.134459e+04  -57567.02  80256.20 1.0000000
## 2004-1976  1.338810e+04  -56021.87  82798.08 1.0000000
## 2005-1976  1.634915e+04  -53735.60  86433.90 1.0000000
## 2006-1976  1.923848e+04  -50922.39  89399.35 1.0000000
## 2007-1976  2.006867e+04  -50501.04  90638.38 1.0000000
## 2008-1976  1.262420e+04  -55954.70  81203.10 1.0000000
## 2009-1976  1.406679e+04  -56417.15  84550.74 1.0000000
## 2010-1976 -2.670235e+01  -71587.30  71533.89 1.0000000
## 2011-1976 -2.662047e+01  -71475.70  71422.46 1.0000000
## 2012-1976 -2.452062e+01  -74964.39  74915.35 1.0000000
## 2013-1976  3.414260e+03  -64831.52  71660.05 1.0000000
## 2014-1976 -2.586131e+01  -74741.18  74689.45 1.0000000
## 2015-1976 -2.899532e+01  -73928.47  73870.48 1.0000000
## 1978-1977 -2.531563e+00 -100170.18 100165.12 1.0000000
## 1979-1977  5.515565e+00 -108598.97 108610.00 1.0000000
## 1980-1977 -1.821107e+01  -88791.88  88755.46 1.0000000
## 1981-1977  1.447361e+04  -70426.43  99373.64 1.0000000
## 1982-1977  1.514793e+04  -70091.03 100386.89 1.0000000
## 1983-1977  1.715541e+04  -66825.34 101136.16 1.0000000
## 1984-1977  1.899963e+04  -64981.12 102980.38 1.0000000
## 1985-1977 -5.682289e+00  -84905.72  84894.35 1.0000000
## 1986-1977  1.354910e+04  -70431.65  97529.85 1.0000000
## 1987-1977  1.367356e+04  -70598.58  97945.69 1.0000000
## 1988-1977  9.501492e+03  -75076.69  94079.67 1.0000000
## 1989-1977  6.591375e+03  -79004.98  92187.73 1.0000000
## 1990-1977  3.147665e+03  -79127.89  85423.22 1.0000000
## 1991-1977 -1.670100e+01  -84288.83  84255.43 1.0000000
## 1992-1977 -1.623023e+01  -82958.77  82926.31 1.0000000
## 1993-1977 -7.021686e+00  -82078.09  82064.05 1.0000000
## 1994-1977 -1.692025e+01  -84289.05  84255.21 1.0000000
## 1995-1977 -1.605468e+01  -82726.77  82694.66 1.0000000
## 1996-1977 -1.950993e+01  -83204.22  83165.20 1.0000000
## 1997-1977 -1.168585e+01  -82954.22  82930.85 1.0000000
## 1998-1977  1.169950e+04  -66463.65  89862.65 1.0000000
## 1999-1977  1.667078e+04  -61724.26  95065.82 1.0000000
## 2000-1977 -2.307620e+01  -79336.58  79290.43 1.0000000
## 2001-1977  1.292826e+04  -64290.37  90146.88 1.0000000
## 2002-1977  1.455046e+04  -63467.29  92568.21 1.0000000
## 2003-1977  1.134392e+04  -65481.16  88169.00 1.0000000
## 2004-1977  1.338744e+04  -63884.99  90659.86 1.0000000
## 2005-1977  1.634848e+04  -61530.62  94227.59 1.0000000
## 2006-1977  1.923781e+04  -58709.80  97185.43 1.0000000
## 2007-1977  2.006800e+04  -58247.81  98383.81 1.0000000
## 2008-1977  1.262353e+04  -63903.25  89150.31 1.0000000
## 2009-1977  1.406612e+04  -64172.41  92304.66 1.0000000
## 2010-1977 -2.736977e+01  -79237.23  79182.49 1.0000000
## 2011-1977 -2.728789e+01  -79136.41  79081.84 1.0000000
## 2012-1977 -2.518804e+01  -82300.74  82250.37 1.0000000
## 2013-1977  3.413593e+03  -72814.81  79642.00 1.0000000
## 2014-1977 -2.652873e+01  -82097.60  82044.54 1.0000000
## 2015-1977 -2.966274e+01  -81358.71  81299.39 1.0000000
## 1979-1978  8.047127e+00 -106991.72 107007.82 1.0000000
## 1980-1978 -1.567951e+01  -86818.79  86787.43 1.0000000
## 1981-1978  1.447614e+04  -68361.24  97313.51 1.0000000
## 1982-1978  1.515046e+04  -68034.24  98335.17 1.0000000
## 1983-1978  1.715794e+04  -64737.00  99052.89 1.0000000
## 1984-1978  1.900216e+04  -62892.78 100897.10 1.0000000
## 1985-1978 -3.150726e+00  -82840.53  82834.23 1.0000000
## 1986-1978  1.355163e+04  -68343.31  95446.57 1.0000000
## 1987-1978  1.367609e+04  -68517.63  95869.81 1.0000000
## 1988-1978  9.504024e+03  -73003.45  92011.50 1.0000000
## 1989-1978  6.593906e+03  -76956.98  90144.80 1.0000000
## 1990-1978  3.150197e+03  -76995.19  83295.58 1.0000000
## 1991-1978 -1.416944e+01  -82207.89  82179.55 1.0000000
## 1992-1978 -1.369867e+01  -80843.64  80816.24 1.0000000
## 1993-1978 -4.490123e+00  -79939.94  79930.96 1.0000000
## 1994-1978 -1.438869e+01  -82208.11  82179.33 1.0000000
## 1995-1978 -1.352311e+01  -80605.57  80578.52 1.0000000
## 1996-1978 -1.697837e+01  -81095.40  81061.44 1.0000000
## 1997-1978 -9.154291e+00  -80839.10  80820.79 1.0000000
## 1998-1978  1.170203e+04  -64215.64  87619.70 1.0000000
## 1999-1978  1.667331e+04  -59483.09  92829.71 1.0000000
## 2000-1978 -2.054463e+01  -77122.08  77080.99 1.0000000
## 2001-1978  1.293079e+04  -62014.07  87875.65 1.0000000
## 2002-1978  1.455299e+04  -61214.97  90320.95 1.0000000
## 2003-1978  1.134645e+04  -63192.85  85885.76 1.0000000
## 2004-1978  1.338997e+04  -61610.32  88390.25 1.0000000
## 2005-1978  1.635102e+04  -59274.18  91976.21 1.0000000
## 2006-1978  1.924035e+04  -56455.39  94936.09 1.0000000
## 2007-1978  2.007053e+04  -56004.31  96145.37 1.0000000
## 2008-1978  1.262606e+04  -61605.75  86857.88 1.0000000
## 2009-1978  1.406866e+04  -61926.63  90063.95 1.0000000
## 2010-1978 -2.483821e+01  -77019.75  76970.07 1.0000000
## 2011-1978 -2.475633e+01  -76916.04  76866.52 1.0000000
## 2012-1978 -2.265647e+01  -80168.04  80122.73 1.0000000
## 2013-1978  3.416125e+03  -70508.06  77340.31 1.0000000
## 2014-1978 -2.399717e+01  -79959.45  79911.45 1.0000000
## 2015-1978 -2.713118e+01  -79200.55  79146.28 1.0000000
## 1980-1979 -2.372663e+01  -96440.30  96392.85 1.0000000
## 1981-1979  1.446809e+04  -78394.22 107330.40 1.0000000
## 1982-1979  1.514242e+04  -78029.85 108314.69 1.0000000
## 1983-1979  1.714990e+04  -74872.70 109172.49 1.0000000
## 1984-1979  1.899411e+04  -73028.48 111016.71 1.0000000
## 1985-1979 -1.119785e+01  -92873.51  92851.11 1.0000000
## 1986-1979  1.354358e+04  -78479.02 105566.18 1.0000000
## 1987-1979  1.366804e+04  -78620.55 105956.64 1.0000000
## 1988-1979  9.495976e+03  -83072.17 102064.12 1.0000000
## 1989-1979  6.585859e+03  -86913.49 100085.21 1.0000000
## 1990-1979  3.142150e+03  -87326.96  93611.26 1.0000000
## 1991-1979 -2.221657e+01  -92310.81  92266.38 1.0000000
## 1992-1979 -2.174580e+01  -91097.85  91054.36 1.0000000
## 1993-1979 -1.253725e+01  -90295.72  90270.65 1.0000000
## 1994-1979 -2.243582e+01  -92311.03  92266.16 1.0000000
## 1995-1979 -2.157024e+01  -90886.61  90843.46 1.0000000
## 1996-1979 -2.502549e+01  -91321.73  91271.67 1.0000000
## 1997-1979 -1.720142e+01  -91093.31  91058.90 1.0000000
## 1998-1979  1.169398e+04  -75052.03  98439.99 1.0000000
## 1999-1979  1.666526e+04  -70289.75 103620.27 1.0000000
## 2000-1979 -2.859176e+01  -87812.56  87755.37 1.0000000
## 2001-1979  1.292274e+04  -72973.17  98818.66 1.0000000
## 2002-1979  1.454494e+04  -72070.08 101159.96 1.0000000
## 2003-1979  1.133841e+04  -74203.89  96880.71 1.0000000
## 2004-1979  1.338192e+04  -72562.36  99326.20 1.0000000
## 2005-1979  1.634297e+04  -70147.19 102833.12 1.0000000
## 2006-1979  1.923230e+04  -67319.55 105784.15 1.0000000
## 2007-1979  2.006248e+04  -66821.11 106946.08 1.0000000
## 2008-1979  1.261802e+04  -72656.48  97892.51 1.0000000
## 2009-1979  1.406061e+04  -72753.34 100874.55 1.0000000
## 2010-1979 -3.288533e+01  -87723.21  87657.44 1.0000000
## 2011-1979 -3.280345e+01  -87632.15  87566.55 1.0000000
## 2012-1979 -3.070360e+01  -90499.81  90438.40 1.0000000
## 2013-1979  3.408077e+03  -81598.76  88414.91 1.0000000
## 2014-1979 -3.204430e+01  -90315.23  90251.14 1.0000000
## 2015-1979 -3.517830e+01  -89644.37  89574.01 1.0000000
## 1981-1980  1.449182e+04  -54132.06  83115.70 1.0000000
## 1982-1980  1.516614e+04  -53876.60  84208.89 1.0000000
## 1983-1980  1.717362e+04  -50309.62  84656.86 1.0000000
## 1984-1980  1.901784e+04  -48465.40  86501.08 1.0000000
## 1985-1980  1.252878e+01  -68611.35  68636.41 1.0000000
## 1986-1980  1.356731e+04  -53915.93  81050.55 1.0000000
## 1987-1980  1.369177e+04  -54153.75  81537.28 1.0000000
## 1988-1980  9.519703e+03  -58705.58  77744.99 1.0000000
## 1989-1980  6.609586e+03  -62873.92  76093.09 1.0000000
## 1990-1980  3.165876e+03  -62183.10  68514.85 1.0000000
## 1991-1980  1.510066e+00  -67844.00  67847.02 1.0000000
## 1992-1980  1.980839e+00  -66184.77  66188.73 1.0000000
## 1993-1980  1.118938e+01  -65080.15  65102.52 1.0000000
## 1994-1980  1.290819e+00  -67844.22  67846.80 1.0000000
## 1995-1980  2.156394e+00  -65893.85  65898.16 1.0000000
## 1996-1980 -1.298859e+00  -66491.27  66488.67 1.0000000
## 1997-1980  6.525215e+00  -66180.22  66193.27 1.0000000
## 1998-1980  1.171771e+04  -48371.38  71806.80 1.0000000
## 1999-1980  1.668899e+04  -43701.43  77079.41 1.0000000
## 2000-1980 -4.865127e+00  -61582.89  61573.16 1.0000000
## 2001-1980  1.294647e+04  -45908.75  71801.69 1.0000000
## 2002-1980  1.456867e+04  -45331.17  74468.50 1.0000000
## 2003-1980  1.136213e+04  -46975.80  69700.07 1.0000000
## 2004-1980  1.340565e+04  -45520.14  72331.44 1.0000000
## 2005-1980  1.636670e+04  -43352.44  76085.84 1.0000000
## 2006-1980  1.925603e+04  -40552.43  79064.48 1.0000000
## 2007-1980  2.008621e+04  -40201.33  80373.75 1.0000000
## 2008-1980  1.264174e+04  -45302.79  70586.27 1.0000000
## 2009-1980  1.408434e+04  -46102.79  74271.46 1.0000000
## 2010-1980 -9.158701e+00  -61453.63  61435.31 1.0000000
## 2011-1980 -9.076821e+00  -61323.63  61305.48 1.0000000
## 2012-1980 -6.976968e+00  -65355.95  65342.00 1.0000000
## 2013-1980  3.431804e+03  -54118.10  60981.70 1.0000000
## 2014-1980 -8.317663e+00  -65099.65  65083.02 1.0000000
## 2015-1980 -1.145167e+01  -64164.67  64141.77 1.0000000
## 1982-1981  6.743282e+02  -63311.24  64659.90 1.0000000
## 1983-1981  2.681806e+03  -59617.79  64981.40 1.0000000
## 1984-1981  4.526024e+03  -57773.57  66825.62 1.0000000
## 1985-1981 -1.447929e+04  -78012.66  49054.08 1.0000000
## 1986-1981 -9.245081e+02  -63224.10  61375.09 1.0000000
## 1987-1981 -8.000485e+02  -63491.88  61891.78 1.0000000
## 1988-1981 -4.972113e+03  -68074.74  58130.52 1.0000000
## 1989-1981 -7.882230e+03  -72343.14  56578.68 1.0000000
## 1990-1981 -1.132594e+04  -71307.10  48655.22 1.0000000
## 1991-1981 -1.449031e+04  -77182.14  48201.52 1.0000000
## 1992-1981 -1.448984e+04  -75382.67  46403.00 1.0000000
## 1993-1981 -1.448063e+04  -74180.99  45219.74 1.0000000
## 1994-1981 -1.449053e+04  -77182.35  48201.30 1.0000000
## 1995-1981 -1.448966e+04  -75066.35  46087.03 1.0000000
## 1996-1981 -1.449311e+04  -75715.40  46729.17 1.0000000
## 1997-1981 -1.448529e+04  -75378.13  46407.55 1.0000000
## 1998-1981 -2.774107e+03  -56976.97  51428.76 1.0000000
## 1999-1981  2.197172e+03  -52339.56  56733.90 1.0000000
## 2000-1981 -1.449668e+04  -70345.63  41352.27 1.0000000
## 2001-1981 -1.545346e+03  -54377.05  51286.36 1.0000000
## 2002-1981  7.685251e+01  -53916.13  54069.83 1.0000000
## 2003-1981 -3.129682e+03  -55384.50  49125.14 1.0000000
## 2004-1981 -1.086169e+03  -53996.47  51824.14 1.0000000
## 2005-1981  1.874879e+03  -51917.57  55667.33 1.0000000
## 2006-1981  4.764210e+03  -49127.38  58655.80 1.0000000
## 2007-1981  5.594395e+03  -48828.39  60017.18 1.0000000
## 2008-1981 -1.850073e+03  -53665.33  49965.18 1.0000000
## 2009-1981 -4.074803e+02  -54719.01  53904.05 1.0000000
## 2010-1981 -1.450097e+04  -70202.63  41200.68 1.0000000
## 2011-1981 -1.450089e+04  -70059.21  41057.43 1.0000000
## 2012-1981 -1.449879e+04  -74479.96  45482.37 1.0000000
## 2013-1981 -1.106001e+04  -62433.57  40313.55 1.0000000
## 2014-1981 -1.450013e+04  -74200.50  45200.23 1.0000000
## 2015-1981 -1.450327e+04  -73179.39  44172.86 1.0000000
## 1983-1982  2.007478e+03  -60753.21  64768.16 1.0000000
## 1984-1982  3.851696e+03  -58908.99  66612.38 1.0000000
## 1985-1982 -1.515362e+04  -79139.18  48831.95 1.0000000
## 1986-1982 -1.598836e+03  -64359.52  61161.85 1.0000000
## 1987-1982 -1.474377e+03  -64624.43  61675.68 1.0000000
## 1988-1982 -5.646441e+03  -69204.34  57911.45 1.0000000
## 1989-1982 -8.556559e+03  -73463.21  56350.09 1.0000000
## 1990-1982 -1.200027e+04  -72460.21  48459.67 1.0000000
## 1991-1982 -1.516463e+04  -78314.69  47985.42 1.0000000
## 1992-1982 -1.516416e+04  -76528.66  46200.33 1.0000000
## 1993-1982 -1.515495e+04  -75336.33  45026.42 1.0000000
## 1994-1982 -1.516485e+04  -78314.91  47985.20 1.0000000
## 1995-1982 -1.516399e+04  -76214.78  45886.81 1.0000000
## 1996-1982 -1.516744e+04  -76858.87  46523.99 1.0000000
## 1997-1982 -1.515962e+04  -76524.12  46204.88 1.0000000
## 1998-1982 -3.448435e+03  -58180.65  51283.78 1.0000000
## 1999-1982  1.522844e+03  -53540.02  56585.71 1.0000000
## 2000-1982 -1.517101e+04  -71533.84  41191.83 1.0000000
## 2001-1982 -2.219675e+03  -55594.32  51154.98 1.0000000
## 2002-1982 -5.974757e+02  -55121.84  53926.89 1.0000000
## 2003-1982 -3.804010e+03  -56607.70  48999.68 1.0000000
## 2004-1982 -1.760497e+03  -55212.95  51691.95 1.0000000
## 2005-1982  1.200551e+03  -53125.24  55526.34 1.0000000
## 2006-1982  4.089882e+03  -50334.08  58513.84 1.0000000
## 2007-1982  4.920067e+03  -50029.94  59870.07 1.0000000
## 2008-1982 -2.524402e+03  -54893.14  49844.34 1.0000000
## 2009-1982 -1.081808e+03  -55921.63  53758.01 1.0000000
## 2010-1982 -1.517530e+04  -71392.19  41041.58 1.0000000
## 2011-1982 -1.517522e+04  -71250.09  40899.65 1.0000000
## 2012-1982 -1.517312e+04  -75633.06  45286.82 1.0000000
## 2013-1982 -1.173434e+04  -63666.09  40197.41 1.0000000
## 2014-1982 -1.517446e+04  -75355.84  45006.91 1.0000000
## 2015-1982 -1.517760e+04  -74343.06  43987.86 1.0000000
## 1984-1983  1.844218e+03  -59196.67  62885.10 1.0000000
## 1985-1983 -1.716109e+04  -79460.69  45138.50 1.0000000
## 1986-1983 -3.606314e+03  -64647.20  57434.57 1.0000000
## 1987-1983 -3.481855e+03  -64923.01  57959.30 1.0000000
## 1988-1983 -7.653919e+03  -69514.18  54206.34 1.0000000
## 1989-1983 -1.056404e+04  -73809.27  52681.20 1.0000000
## 1990-1983 -1.400775e+04  -72680.49  44664.99 1.0000000
## 1991-1983 -1.717211e+04  -78613.27  44269.05 1.0000000
## 1992-1983 -1.717164e+04  -76776.07  42432.79 1.0000000
## 1993-1983 -1.716243e+04  -75548.08  41223.22 1.0000000
## 1994-1983 -1.717233e+04  -78613.49  44268.83 1.0000000
## 1995-1983 -1.717147e+04  -76452.88  42109.95 1.0000000
## 1996-1983 -1.717492e+04  -77115.88  42766.04 1.0000000
## 1997-1983 -1.716710e+04  -76771.53  42437.33 1.0000000
## 1998-1983 -5.455913e+03  -58207.23  47295.40 1.0000000
## 1999-1983 -4.846340e+02  -53578.94  52609.67 1.0000000
## 2000-1983 -1.717849e+04  -71619.79  37262.82 1.0000000
## 2001-1983 -4.227153e+03  -55568.55  47114.25 1.0000000
## 2002-1983 -2.604954e+03  -55140.58  49930.68 1.0000000
## 2003-1983 -5.811488e+03  -56559.06  44936.09 1.0000000
## 2004-1983 -3.767976e+03  -55190.25  47654.30 1.0000000
## 2005-1983 -8.069270e+02  -53136.44  51522.59 1.0000000
## 2006-1983  2.082403e+03  -50349.01  54513.82 1.0000000
## 2007-1983  2.912589e+03  -50064.67  55889.84 1.0000000
## 2008-1983 -4.531880e+03  -54826.72  45762.96 1.0000000
## 2009-1983 -3.089287e+03  -55952.24  49773.67 1.0000000
## 2010-1983 -1.718278e+04  -71472.97  37107.41 1.0000000
## 2011-1983 -1.718270e+04  -71325.82  36960.42 1.0000000
## 2012-1983 -1.718060e+04  -75853.34  41492.14 1.0000000
## 2013-1983 -1.374182e+04  -63581.49  36097.86 1.0000000
## 2014-1983 -1.718194e+04  -75567.59  41203.71 1.0000000
## 2015-1983 -1.718507e+04  -74523.00  40152.85 1.0000000
## 1985-1984 -1.900531e+04  -81304.90  43294.28 1.0000000
## 1986-1984 -5.450532e+03  -66491.42  55590.35 1.0000000
## 1987-1984 -5.326073e+03  -66767.23  56115.09 1.0000000
## 1988-1984 -9.498137e+03  -71358.40  52362.13 1.0000000
## 1989-1984 -1.240825e+04  -75653.49  50836.98 1.0000000
## 1990-1984 -1.585196e+04  -74524.70  42820.78 1.0000000
## 1991-1984 -1.901633e+04  -80457.49  42424.83 1.0000000
## 1992-1984 -1.901586e+04  -78620.29  40588.57 1.0000000
## 1993-1984 -1.900665e+04  -77392.30  39379.00 1.0000000
## 1994-1984 -1.901655e+04  -80457.71  42424.61 1.0000000
## 1995-1984 -1.901568e+04  -78297.10  40265.73 1.0000000
## 1996-1984 -1.901914e+04  -78960.10  40921.82 1.0000000
## 1997-1984 -1.901132e+04  -78615.74  40593.11 1.0000000
## 1998-1984 -7.300131e+03  -60051.45  45451.18 1.0000000
## 1999-1984 -2.328852e+03  -55423.16  50765.45 1.0000000
## 2000-1984 -1.902271e+04  -73464.01  35418.60 1.0000000
## 2001-1984 -6.071371e+03  -57412.77  45270.03 1.0000000
## 2002-1984 -4.449172e+03  -56984.80  48086.46 1.0000000
## 2003-1984 -7.655706e+03  -58403.28  43091.87 1.0000000
## 2004-1984 -5.612194e+03  -57034.47  45810.09 1.0000000
## 2005-1984 -2.651145e+03  -54980.66  49678.37 1.0000000
## 2006-1984  2.381854e+02  -52193.23  52669.60 1.0000000
## 2007-1984  1.068371e+03  -51908.89  54045.63 1.0000000
## 2008-1984 -6.376098e+03  -56670.94  43918.74 1.0000000
## 2009-1984 -4.933505e+03  -57796.46  47929.45 1.0000000
## 2010-1984 -1.902700e+04  -73317.19  35263.19 1.0000000
## 2011-1984 -1.902692e+04  -73170.04  35116.20 1.0000000
## 2012-1984 -1.902482e+04  -77697.56  39647.92 1.0000000
## 2013-1984 -1.558604e+04  -65425.71  34253.64 1.0000000
## 2014-1984 -1.902616e+04  -77411.81  39359.49 1.0000000
## 2015-1984 -1.902929e+04  -76367.22  38308.64 1.0000000
## 1986-1985  1.355478e+04  -48744.81  75854.37 1.0000000
## 1987-1985  1.367924e+04  -49012.59  76371.07 1.0000000
## 1988-1985  9.507174e+03  -53595.45  72609.80 1.0000000
## 1989-1985  6.597057e+03  -57863.85  71057.97 1.0000000
## 1990-1985  3.153348e+03  -56827.82  63134.51 1.0000000
## 1991-1985 -1.101871e+01  -62702.85  62680.81 1.0000000
## 1992-1985 -1.054794e+01  -60903.38  60882.29 1.0000000
## 1993-1985 -1.339397e+00  -59701.71  59699.03 1.0000000
## 1994-1985 -1.123796e+01  -62703.07  62680.59 1.0000000
## 1995-1985 -1.037239e+01  -60587.06  60566.32 1.0000000
## 1996-1985 -1.382764e+01  -61236.11  61208.46 1.0000000
## 1997-1985 -6.003565e+00  -60898.84  60886.83 1.0000000
## 1998-1985  1.170518e+04  -42497.69  65908.05 1.0000000
## 1999-1985  1.667646e+04  -37860.27  71213.19 1.0000000
## 2000-1985 -1.739391e+01  -55866.34  55831.55 1.0000000
## 2001-1985  1.293394e+04  -39897.76  65765.65 1.0000000
## 2002-1985  1.455614e+04  -39436.84  68549.12 1.0000000
## 2003-1985  1.134961e+04  -40905.21  63604.42 1.0000000
## 2004-1985  1.339312e+04  -39517.19  66303.42 1.0000000
## 2005-1985  1.635417e+04  -37438.28  70146.62 1.0000000
## 2006-1985  1.924350e+04  -34648.09  73135.08 1.0000000
## 2007-1985  2.007368e+04  -34349.10  74496.46 1.0000000
## 2008-1985  1.262921e+04  -39186.04  64444.47 1.0000000
## 2009-1985  1.407181e+04  -40239.72  68383.33 1.0000000
## 2010-1985 -2.168748e+01  -55723.34  55679.97 1.0000000
## 2011-1985 -2.160560e+01  -55579.92  55536.71 1.0000000
## 2012-1985 -1.950575e+01  -60000.67  59961.66 1.0000000
## 2013-1985  3.419275e+03  -47954.29  54792.84 1.0000000
## 2014-1985 -2.084644e+01  -59721.21  59679.52 1.0000000
## 2015-1985 -2.398045e+01  -58700.11  58652.14 1.0000000
## 1987-1986  1.244596e+02  -61316.70  61565.62 1.0000000
## 1988-1986 -4.047605e+03  -65907.87  57812.66 1.0000000
## 1989-1986 -6.957722e+03  -70202.96  56287.51 1.0000000
## 1990-1986 -1.040143e+04  -69074.17  48271.31 1.0000000
## 1991-1986 -1.356580e+04  -75006.96  47875.36 1.0000000
## 1992-1986 -1.356533e+04  -73169.76  46039.10 1.0000000
## 1993-1986 -1.355612e+04  -71941.77  44829.53 1.0000000
## 1994-1986 -1.356602e+04  -75007.18  47875.14 1.0000000
## 1995-1986 -1.356515e+04  -72846.56  45716.26 1.0000000
## 1996-1986 -1.356861e+04  -73509.57  46372.35 1.0000000
## 1997-1986 -1.356078e+04  -73165.21  46043.65 1.0000000
## 1998-1986 -1.849599e+03  -54600.91  50901.72 1.0000000
## 1999-1986  3.121680e+03  -49972.63  56215.99 1.0000000
## 2000-1986 -1.357217e+04  -68013.48  40869.13 1.0000000
## 2001-1986 -6.208384e+02  -51962.24  50720.56 1.0000000
## 2002-1986  1.001361e+03  -51534.27  53536.99 1.0000000
## 2003-1986 -2.205174e+03  -52952.75  48542.40 1.0000000
## 2004-1986 -1.616612e+02  -51583.94  51260.62 1.0000000
## 2005-1986  2.799387e+03  -49530.13  55128.90 1.0000000
## 2006-1986  5.688718e+03  -46742.70  58120.13 1.0000000
## 2007-1986  6.518903e+03  -46458.35  59496.16 1.0000000
## 2008-1986 -9.255653e+02  -51220.41  49369.28 1.0000000
## 2009-1986  5.170278e+02  -52345.93  53379.99 1.0000000
## 2010-1986 -1.357647e+04  -67866.66  40713.72 1.0000000
## 2011-1986 -1.357638e+04  -67719.50  40566.73 1.0000000
## 2012-1986 -1.357429e+04  -72247.03  45098.46 1.0000000
## 2013-1986 -1.013550e+04  -59975.18  39704.17 1.0000000
## 2014-1986 -1.357563e+04  -71961.28  44810.03 1.0000000
## 2015-1986 -1.357876e+04  -70916.69  43759.17 1.0000000
## 1988-1987 -4.172065e+03  -66427.33  58083.20 1.0000000
## 1989-1987 -7.082182e+03  -70713.82  56549.46 1.0000000
## 1990-1987 -1.052589e+04  -69614.95  48563.17 1.0000000
## 1991-1987 -1.369026e+04  -75529.10  48148.58 1.0000000
## 1992-1987 -1.368979e+04  -73704.07  46324.50 1.0000000
## 1993-1987 -1.368058e+04  -72484.58  45123.42 1.0000000
## 1994-1987 -1.369048e+04  -75529.32  48148.36 1.0000000
## 1995-1987 -1.368961e+04  -73383.09  46003.87 1.0000000
## 1996-1987 -1.369307e+04  -74041.59  46655.46 1.0000000
## 1997-1987 -1.368524e+04  -73699.52  46329.04 1.0000000
## 1998-1987 -1.974058e+03  -55188.04  51239.92 1.0000000
## 1999-1987  2.997221e+03  -50556.79  56551.23 1.0000000
## 2000-1987 -1.369663e+04  -68586.36  41193.09 1.0000000
## 2001-1987 -7.452980e+02  -52561.95  51071.36 1.0000000
## 2002-1987  8.769010e+02  -52123.27  53877.08 1.0000000
## 2003-1987 -2.329633e+03  -53557.97  48898.70 1.0000000
## 2004-1987 -2.861208e+02  -52182.91  51610.67 1.0000000
## 2005-1987  2.674928e+03  -50120.95  55470.80 1.0000000
## 2006-1987  5.564258e+03  -47332.62  58461.14 1.0000000
## 2007-1987  6.394443e+03  -47043.52  59832.41 1.0000000
## 2008-1987 -1.050025e+03  -51829.91  49729.86 1.0000000
## 2009-1987  3.925682e+02  -52932.08  53717.22 1.0000000
## 2010-1987 -1.370093e+04  -68440.77  41038.92 1.0000000
## 2011-1987 -1.370084e+04  -68294.83  40893.14 1.0000000
## 2012-1987 -1.369874e+04  -72787.80  45390.31 1.0000000
## 2013-1987 -1.025996e+04  -60589.07  40069.15 1.0000000
## 2014-1987 -1.370009e+04  -72504.09  45103.91 1.0000000
## 2015-1987 -1.370322e+04  -71467.09  44060.65 1.0000000
## 1989-1988 -2.910117e+03  -66946.53  61126.29 1.0000000
## 1990-1988 -6.353827e+03  -65878.55  53170.90 1.0000000
## 1991-1988 -9.518193e+03  -71773.46  52737.07 1.0000000
## 1992-1988 -9.517722e+03  -69961.00  50925.56 1.0000000
## 1993-1988 -9.508514e+03  -68750.28  49733.25 1.0000000
## 1994-1988 -9.518412e+03  -71773.68  52736.86 1.0000000
## 1995-1988 -9.517547e+03  -69642.32  50607.23 1.0000000
## 1996-1988 -9.521002e+03  -70296.17  51254.17 1.0000000
## 1997-1988 -9.513178e+03  -69956.46  50930.10 1.0000000
## 1998-1988  2.198006e+03  -51499.33  55895.34 1.0000000
## 1999-1988  7.169285e+03  -46865.04  61203.61 1.0000000
## 2000-1988 -9.524568e+03  -64883.02  45833.88 1.0000000
## 2001-1988  3.426767e+03  -48886.16  55739.69 1.0000000
## 2002-1988  5.048966e+03  -48436.50  58534.43 1.0000000
## 2003-1988  1.842431e+03  -49887.82  53572.68 1.0000000
## 2004-1988  3.885944e+03  -48506.36  56278.24 1.0000000
## 2005-1988  6.846992e+03  -46436.03  60130.01 1.0000000
## 2006-1988  9.736323e+03  -43646.78  63119.43 1.0000000
## 2007-1988  1.056651e+04  -43352.80  64485.82 1.0000000
## 2008-1988  3.122040e+03  -48164.15  54408.23 1.0000000
## 2009-1988  4.564633e+03  -49242.38  58371.65 1.0000000
## 2010-1988 -9.528862e+03  -64738.71  45680.98 1.0000000
## 2011-1988 -9.528780e+03  -64594.01  45536.45 1.0000000
## 2012-1988 -9.526680e+03  -69051.41  49998.05 1.0000000
## 2013-1988 -6.087899e+03  -56927.80  44752.00 1.0000000
## 2014-1988 -9.528021e+03  -68769.79  49713.74 1.0000000
## 2015-1988 -9.531155e+03  -67740.61  48678.30 1.0000000
## 1990-1989 -3.443709e+03  -64406.49  57519.07 1.0000000
## 1991-1989 -6.608076e+03  -70239.72  57023.57 1.0000000
## 1992-1989 -6.607605e+03  -68467.59  55252.38 1.0000000
## 1993-1989 -6.598396e+03  -67284.92  54088.13 1.0000000
## 1994-1989 -6.608295e+03  -70239.94  57023.35 1.0000000
## 1995-1989 -6.607429e+03  -68156.24  54941.38 1.0000000
## 1996-1989 -6.610885e+03  -68795.20  55573.43 1.0000000
## 1997-1989 -6.603061e+03  -68463.05  55256.92 1.0000000
## 1998-1989  5.108123e+03  -50179.05  60395.29 1.0000000
## 1999-1989  1.007940e+04  -45535.12  65693.93 1.0000000
## 2000-1989 -6.614451e+03  -63516.34  50287.44 1.0000000
## 2001-1989  6.336884e+03  -47606.69  60280.46 1.0000000
## 2002-1989  7.959083e+03  -47122.33  63040.50 1.0000000
## 2003-1989  4.752549e+03  -48626.16  58131.26 1.0000000
## 2004-1989  6.796061e+03  -47224.50  60816.62 1.0000000
## 2005-1989  9.757110e+03  -45127.75  64641.97 1.0000000
## 2006-1989  1.264644e+04  -42335.59  67628.47 1.0000000
## 2007-1989  1.347663e+04  -42026.16  68979.41 1.0000000
## 2008-1989  6.032157e+03  -46916.32  58980.63 1.0000000
## 2009-1989  7.474750e+03  -47918.95  62868.45 1.0000000
## 2010-1989 -6.618744e+03  -63376.07  50138.59 1.0000000
## 2011-1989 -6.618663e+03  -63235.33  49998.01 1.0000000
## 2012-1989 -6.616563e+03  -67579.34  54346.22 1.0000000
## 2013-1989 -3.177782e+03  -55694.09  49338.53 1.0000000
## 2014-1989 -6.617903e+03  -67304.43  54068.62 1.0000000
## 2015-1989 -6.621037e+03  -66300.25  53058.17 1.0000000
## 1991-1990 -3.164366e+03  -62253.42  55924.69 1.0000000
## 1992-1990 -3.163896e+03  -60340.72  54012.92 1.0000000
## 1993-1990 -3.154687e+03  -59059.83  52750.46 1.0000000
## 1994-1990 -3.164586e+03  -62253.64  55924.47 1.0000000
## 1995-1990 -3.163720e+03  -60003.73  53676.29 1.0000000
## 1996-1990 -3.167175e+03  -60694.73  54360.38 1.0000000
## 1997-1990 -3.159351e+03  -60336.17  54017.47 1.0000000
## 1998-1990  8.551833e+03  -41440.19  58543.85 1.0000000
## 1999-1990  1.352311e+04  -36830.70  63876.92 1.0000000
## 2000-1990 -3.170742e+03  -54942.90  48601.42 1.0000000
## 2001-1990  9.780593e+03  -38721.37  58282.56 1.0000000
## 2002-1990  1.140279e+04  -38361.58  61167.17 1.0000000
## 2003-1990  8.196258e+03  -39676.67  56069.19 1.0000000
## 2004-1990  1.023977e+04  -38347.80  58827.34 1.0000000
## 2005-1990  1.320082e+04  -36345.91  62747.55 1.0000000
## 2006-1990  1.609015e+04  -33564.20  65744.50 1.0000000
## 2007-1990  1.692033e+04  -33310.04  67150.71 1.0000000
## 2008-1990  9.475866e+03  -37916.87  56868.61 1.0000000
## 2009-1990  1.091846e+04  -39191.35  61028.27 1.0000000
## 2010-1990 -3.175035e+03  -54788.27  48438.19 1.0000000
## 2011-1990 -3.174953e+03  -54633.46  48283.55 1.0000000
## 2012-1990 -3.172853e+03  -59377.76  53032.05 1.0000000
## 2013-1990  2.659275e+02  -46643.50  47175.35 1.0000000
## 2014-1990 -3.174194e+03  -59079.34  52730.95 1.0000000
## 2015-1990 -3.177328e+03  -57987.35  51632.70 1.0000000
## 1992-1991  4.707727e-01  -60013.81  60014.75 1.0000000
## 1993-1991  9.679318e+00  -58794.32  58813.68 1.0000000
## 1994-1991 -2.192473e-01  -61839.06  61838.62 1.0000000
## 1995-1991  6.463278e-01  -59692.84  59694.13 1.0000000
## 1996-1991 -2.808925e+00  -60351.34  60345.72 1.0000000
## 1997-1991  5.015149e+00  -60009.27  60019.30 1.0000000
## 1998-1991  1.171620e+04  -41497.78  64930.18 1.0000000
## 1999-1991  1.668748e+04  -36866.53  70241.48 1.0000000
## 2000-1991 -6.375193e+00  -54896.10  54883.35 1.0000000
## 2001-1991  1.294496e+04  -38871.70  64761.61 1.0000000
## 2002-1991  1.456716e+04  -38433.02  67567.33 1.0000000
## 2003-1991  1.136062e+04  -39867.71  62588.96 1.0000000
## 2004-1991  1.340414e+04  -38492.65  65300.93 1.0000000
## 2005-1991  1.636519e+04  -36430.69  69161.06 1.0000000
## 2006-1991  1.925452e+04  -33642.36  72151.39 1.0000000
## 2007-1991  2.008470e+04  -33353.26  73522.66 0.9999999
## 2008-1991  1.264023e+04  -38139.66  63420.12 1.0000000
## 2009-1991  1.408283e+04  -39241.83  67407.48 1.0000000
## 2010-1991 -1.066877e+01  -54750.52  54729.18 1.0000000
## 2011-1991 -1.058689e+01  -54604.57  54583.40 1.0000000
## 2012-1991 -8.487033e+00  -59097.54  59080.57 1.0000000
## 2013-1991  3.430294e+03  -46898.82  53759.40 1.0000000
## 2014-1991 -9.827728e+00  -58813.83  58794.17 1.0000000
## 2015-1991 -1.296174e+01  -57776.83  57750.90 1.0000000
## 1993-1992  9.208545e+00  -56872.97  56891.39 1.0000000
## 1994-1992 -6.900200e-01  -60014.97  60013.59 1.0000000
## 1995-1992  1.755550e-01  -57801.07  57801.42 1.0000000
## 1996-1992 -3.279698e+00  -58480.77  58474.21 1.0000000
## 1997-1992  4.544377e+00  -58127.94  58137.03 1.0000000
## 1998-1992  1.171573e+04  -39366.55  62798.01 1.0000000
## 1999-1992  1.668701e+04  -34749.40  68123.41 1.0000000
## 2000-1992 -6.845966e+00  -52832.54  52818.85 1.0000000
## 2001-1992  1.294449e+04  -36680.48  62569.46 1.0000000
## 2002-1992  1.456669e+04  -36292.83  65426.21 1.0000000
## 2003-1992  1.136015e+04  -37650.20  60370.51 1.0000000
## 2004-1992  1.340367e+04  -36304.97  63112.31 1.0000000
## 2005-1992  1.636471e+04  -34281.87  67011.30 1.0000000
## 2006-1992  1.925405e+04  -31497.82  70005.91 0.9999999
## 2007-1992  2.008423e+04  -31231.34  71399.80 0.9999997
## 2008-1992  1.263976e+04  -35901.66  61181.18 1.0000000
## 2009-1992  1.408235e+04  -37115.21  65279.92 1.0000000
## 2010-1992 -1.113954e+01  -52681.08  52658.80 1.0000000
## 2011-1992 -1.105766e+01  -52529.39  52507.28 1.0000000
## 2012-1992 -8.957806e+00  -57185.78  57167.86 1.0000000
## 2013-1992  3.429823e+03  -44639.83  51499.47 1.0000000
## 2014-1992 -1.029850e+01  -56892.48  56871.88 1.0000000
## 2015-1992 -1.343251e+01  -55819.67  55792.81 1.0000000
## 1994-1993 -9.898565e+00  -58813.90  58794.10 1.0000000
## 1995-1993 -9.032990e+00  -56552.65  56534.58 1.0000000
## 1996-1993 -1.248824e+01  -57247.21  57222.23 1.0000000
## 1997-1993 -4.664168e+00  -56886.84  56877.52 1.0000000
## 1998-1993  1.170652e+04  -37948.25  61361.28 1.0000000
## 1999-1993  1.667780e+04  -33341.20  66696.79 1.0000000
## 2000-1993 -1.605451e+01  -51462.63  51430.52 1.0000000
## 2001-1993  1.293528e+04  -35218.99  61089.55 1.0000000
## 2002-1993  1.455748e+04  -34868.09  63983.05 1.0000000
## 2003-1993  1.135095e+04  -36169.69  58871.58 1.0000000
## 2004-1993  1.339446e+04  -34846.04  61634.95 1.0000000
## 2005-1993  1.635551e+04  -32850.92  65561.93 1.0000000
## 2006-1993  1.924484e+04  -30069.95  68559.62 0.9999997
## 2007-1993  2.007502e+04  -29819.71  69969.75 0.9999992
## 2008-1993  1.263055e+04  -34406.30  59667.41 1.0000000
## 2009-1993  1.407315e+04  -35700.21  63846.50 1.0000000
## 2010-1993 -2.034808e+01  -51306.99  51266.29 1.0000000
## 2011-1993 -2.026620e+01  -51151.19  51110.66 1.0000000
## 2012-1993 -1.816635e+01  -55923.31  55886.98 1.0000000
## 2013-1993  3.420615e+03  -43129.23  49970.46 1.0000000
## 2014-1993 -1.950705e+01  -55623.27  55584.26 1.0000000
## 2015-1993 -2.264105e+01  -54525.23  54479.95 1.0000000
## 1995-1994  8.655751e-01  -59692.62  59694.35 1.0000000
## 1996-1994 -2.589678e+00  -60351.12  60345.94 1.0000000
## 1997-1994  5.234397e+00  -60009.05  60019.52 1.0000000
## 1998-1994  1.171642e+04  -41497.56  64930.40 1.0000000
## 1999-1994  1.668770e+04  -36866.31  70241.70 1.0000000
## 2000-1994 -6.155946e+00  -54895.88  54883.57 1.0000000
## 2001-1994  1.294518e+04  -38871.48  64761.83 1.0000000
## 2002-1994  1.456738e+04  -38432.80  67567.55 1.0000000
## 2003-1994  1.136084e+04  -39867.49  62589.18 1.0000000
## 2004-1994  1.340436e+04  -38492.44  65301.15 1.0000000
## 2005-1994  1.636540e+04  -36430.47  69161.28 1.0000000
## 2006-1994  1.925474e+04  -33642.14  72151.61 1.0000000
## 2007-1994  2.008492e+04  -33353.04  73522.88 0.9999999
## 2008-1994  1.264045e+04  -38139.44  63420.34 1.0000000
## 2009-1994  1.408304e+04  -39241.61  67407.70 1.0000000
## 2010-1994 -1.044952e+01  -54750.30  54729.40 1.0000000
## 2011-1994 -1.036764e+01  -54604.35  54583.62 1.0000000
## 2012-1994 -8.267786e+00  -59097.33  59080.79 1.0000000
## 2013-1994  3.430513e+03  -46898.60  53759.62 1.0000000
## 2014-1994 -9.608481e+00  -58813.61  58794.39 1.0000000
## 2015-1994 -1.274249e+01  -57776.61  57751.12 1.0000000
## 1996-1995 -3.455253e+00  -58151.67  58144.76 1.0000000
## 1997-1995  4.368822e+00  -57796.88  57805.61 1.0000000
## 1998-1995  1.171555e+04  -38989.45  62420.55 1.0000000
## 1999-1995  1.668683e+04  -34374.91  67748.57 1.0000000
## 2000-1995 -7.021521e+00  -52467.97  52453.93 1.0000000
## 2001-1995  1.294431e+04  -36292.21  62180.84 1.0000000
## 2002-1995  1.456651e+04  -35914.06  65047.09 1.0000000
## 2003-1995  1.135998e+04  -37257.02  59976.98 1.0000000
## 2004-1995  1.340349e+04  -35917.37  62724.35 1.0000000
## 2005-1995  1.636454e+04  -33901.49  66630.57 1.0000000
## 2006-1995  1.925387e+04  -31118.24  69625.98 0.9999999
## 2007-1995  2.008405e+04  -30855.97  71024.08 0.9999996
## 2008-1995  1.263959e+04  -35504.65  60783.82 1.0000000
## 2009-1995  1.408218e+04  -36738.96  64903.32 1.0000000
## 2010-1995 -1.131509e+01  -52315.43  52292.80 1.0000000
## 2011-1995 -1.123321e+01  -52162.68  52140.21 1.0000000
## 2012-1995 -9.133361e+00  -56849.14  56830.88 1.0000000
## 2013-1995  3.429648e+03  -44238.89  51098.18 1.0000000
## 2014-1995 -1.047406e+01  -56554.09  56533.14 1.0000000
## 2015-1995 -1.360806e+01  -55474.71  55447.50 1.0000000
## 1997-1996  7.824074e+00  -58469.67  58485.31 1.0000000
## 1998-1996  1.171901e+04  -39755.55  63193.57 1.0000000
## 1999-1996  1.669029e+04  -35135.71  68516.29 1.0000000
## 2000-1996 -3.566268e+00  -53208.68  53201.55 1.0000000
## 2001-1996  1.294777e+04  -37080.91  62976.45 1.0000000
## 2002-1996  1.456997e+04  -36683.53  65823.47 1.0000000
## 2003-1996  1.136343e+04  -38055.65  60782.51 1.0000000
## 2004-1996  1.340695e+04  -36704.73  63518.62 1.0000000
## 2005-1996  1.636799e+04  -34674.21  67410.20 1.0000000
## 2006-1996  1.925732e+04  -31889.35  70404.00 0.9999999
## 2007-1996  2.008751e+04  -31618.57  71793.59 0.9999998
## 2008-1996  1.264304e+04  -36311.02  61597.10 1.0000000
## 2009-1996  1.408563e+04  -37503.33  65674.60 1.0000000
## 2010-1996 -7.859842e+00  -53058.34  53042.62 1.0000000
## 2011-1996 -7.777962e+00  -52907.74  52892.19 1.0000000
## 2012-1996 -5.678109e+00  -57533.23  57521.88 1.0000000
## 2013-1996  3.433103e+03  -45053.21  51919.41 1.0000000
## 2014-1996 -7.018804e+00  -57241.74  57227.70 1.0000000
## 2015-1996 -1.015281e+01  -56175.68  56155.38 1.0000000
## 1998-1997  1.171118e+04  -39371.10  62793.46 1.0000000
## 1999-1997  1.668246e+04  -34753.94  68118.87 1.0000000
## 2000-1997 -1.139034e+01  -52837.08  52814.30 1.0000000
## 2001-1997  1.293994e+04  -36685.03  62564.92 1.0000000
## 2002-1997  1.456214e+04  -36297.37  65421.66 1.0000000
## 2003-1997  1.135561e+04  -37654.74  60365.96 1.0000000
## 2004-1997  1.339912e+04  -36309.52  63107.76 1.0000000
## 2005-1997  1.636017e+04  -34286.41  67006.75 1.0000000
## 2006-1997  1.924950e+04  -31502.36  70001.36 0.9999999
## 2007-1997  2.007969e+04  -31235.89  71395.26 0.9999997
## 2008-1997  1.263522e+04  -35906.20  61176.63 1.0000000
## 2009-1997  1.407781e+04  -37119.75  65275.37 1.0000000
## 2010-1997 -1.568392e+01  -52685.63  52654.26 1.0000000
## 2011-1997 -1.560204e+01  -52533.94  52502.73 1.0000000
## 2012-1997 -1.350218e+01  -57190.32  57163.32 1.0000000
## 2013-1997  3.425279e+03  -44644.37  51494.93 1.0000000
## 2014-1997 -1.484288e+01  -56897.02  56867.34 1.0000000
## 2015-1997 -1.797688e+01  -55824.21  55788.26 1.0000000
## 1999-1998  4.971279e+03  -38338.27  48280.83 1.0000000
## 2000-1998 -1.172257e+04  -56673.29  33228.14 1.0000000
## 2001-1998  1.228760e+03  -39913.08  42370.60 1.0000000
## 2002-1998  2.850959e+03  -39771.85  45473.77 1.0000000
## 2003-1998 -3.555747e+02  -40753.94  40042.79 1.0000000
## 2004-1998  1.687938e+03  -39554.79  42930.66 1.0000000
## 2005-1998  4.648986e+03  -37719.51  47017.48 1.0000000
## 2006-1998  7.538317e+03  -34955.98  50032.61 1.0000000
## 2007-1998  8.368502e+03  -34797.47  51534.47 1.0000000
## 2008-1998  9.240336e+02  -38904.13  40752.20 1.0000000
## 2009-1998  2.366627e+03  -40658.99  45392.24 1.0000000
## 2010-1998 -1.172687e+04  -56494.45  33040.71 1.0000000
## 2011-1998 -1.172679e+04  -56315.90  32862.32 1.0000000
## 2012-1998 -1.172469e+04  -61716.71  38267.33 1.0000000
## 2013-1998 -8.285905e+03  -47537.72  30965.91 1.0000000
## 2014-1998 -1.172603e+04  -61380.79  37928.74 1.0000000
## 2015-1998 -1.172916e+04  -60147.64  36689.32 1.0000000
## 2000-1999 -1.669385e+04  -62046.59  28658.89 1.0000000
## 2001-1999 -3.742519e+03  -45323.23  37838.19 1.0000000
## 2002-1999 -2.120320e+03  -45166.90  40926.26 1.0000000
## 2003-1999 -5.326854e+03  -46172.08  35518.37 1.0000000
## 2004-1999 -3.283342e+03  -44963.87  38397.19 1.0000000
## 2005-1999 -3.222929e+02  -43117.08  42472.49 1.0000000
## 2006-1999  2.567037e+03  -40352.29  45486.37 1.0000000
## 2007-1999  3.397223e+03  -40187.24  46981.68 1.0000000
## 2008-1999 -4.047246e+03  -44328.59  36234.10 1.0000000
## 2009-1999 -2.604653e+03  -46050.11  40840.81 1.0000000
## 2010-1999 -1.669815e+04  -61869.38  28473.09 1.0000000
## 2011-1999 -1.669807e+04  -61692.43  28296.30 1.0000000
## 2012-1999 -1.669597e+04  -67049.78  33657.84 1.0000000
## 2013-1999 -1.325718e+04  -52968.75  26454.39 1.0000000
## 2014-1999 -1.669731e+04  -66716.30  33321.69 1.0000000
## 2015-1999 -1.670044e+04  -65492.38  32091.50 1.0000000
## 2001-2000  1.295133e+04  -30336.14  56238.81 1.0000000
## 2002-2000  1.457353e+04  -30123.87  59270.94 1.0000000
## 2003-2000  1.136700e+04  -31214.48  53948.48 1.0000000
## 2004-2000  1.341051e+04  -29972.85  56793.88 1.0000000
## 2005-2000  1.637156e+04  -28083.40  60826.52 1.0000000
## 2006-2000  1.926089e+04  -25313.98  63835.76 0.9999921
## 2007-2000  2.009108e+04  -25124.58  65306.73 0.9999815
## 2008-2000  1.264661e+04  -29394.29  54687.50 1.0000000
## 2009-2000  1.408920e+04  -30992.48  59170.88 1.0000000
## 2010-2000 -4.293573e+00  -46751.38  46742.80 1.0000000
## 2011-2000 -4.211693e+00  -46580.42  46571.99 1.0000000
## 2012-2000 -2.111840e+00  -51774.27  51770.05 1.0000000
## 2013-2000  3.436669e+03  -38058.62  44931.96 1.0000000
## 2014-2000 -3.452535e+00  -51450.03  51443.12 1.0000000
## 2015-2000 -6.586542e+00  -50260.98  50247.80 1.0000000
## 2002-2001  1.622199e+03  -39242.73  42487.13 1.0000000
## 2003-2001 -1.584335e+03  -40123.49  36954.82 1.0000000
## 2004-2001  4.591772e+02  -38964.17  39882.53 1.0000000
## 2005-2001  3.420226e+03  -37179.38  44019.83 1.0000000
## 2006-2001  6.309556e+03  -34421.31  47040.42 1.0000000
## 2007-2001  7.139741e+03  -34291.40  48570.88 1.0000000
## 2008-2001 -3.047269e+02  -38245.74  37636.29 1.0000000
## 2009-2001  1.137866e+03  -40147.02  42422.76 1.0000000
## 2010-2001 -1.295563e+04  -56052.90  30141.64 1.0000000
## 2011-2001 -1.295555e+04  -55867.40  29956.31 1.0000000
## 2012-2001 -1.295345e+04  -61455.41  35548.52 1.0000000
## 2013-2001 -9.514666e+03  -46850.21  27820.88 1.0000000
## 2014-2001 -1.295479e+04  -61109.06  35199.49 1.0000000
## 2015-2001 -1.295792e+04  -59836.36  33920.52 1.0000000
## 2003-2002 -3.206534e+03  -43322.85  36909.79 1.0000000
## 2004-2002 -1.163022e+03  -42129.51  39803.47 1.0000000
## 2005-2002  1.798027e+03  -40301.62  43897.68 1.0000000
## 2006-2002  4.687357e+03  -37538.89  46913.61 1.0000000
## 2007-2002  5.517542e+03  -37384.58  48419.67 1.0000000
## 2008-2002 -1.926926e+03  -41468.98  37615.12 1.0000000
## 2009-2002 -4.843328e+02  -43245.24  42276.57 1.0000000
## 2010-2002 -1.457783e+04  -59091.05  29935.40 1.0000000
## 2011-2002 -1.457775e+04  -58911.48  29755.99 1.0000000
## 2012-2002 -1.457565e+04  -64340.02  35188.73 1.0000000
## 2013-2002 -1.113686e+04  -50098.33  27824.60 1.0000000
## 2014-2002 -1.457699e+04  -64002.56  34848.58 1.0000000
## 2015-2002 -1.458012e+04  -62763.53  33603.29 1.0000000
## 2004-2003  2.043512e+03  -36603.32  40690.34 1.0000000
## 2005-2003  5.004561e+03  -34841.45  44850.57 1.0000000
## 2006-2003  7.893891e+03  -32085.85  47873.64 1.0000000
## 2007-2003  8.724077e+03  -31968.88  49417.03 1.0000000
## 2008-2003  1.279608e+03  -35853.90  38413.12 1.0000000
## 2009-2003  2.722201e+03  -37821.84  43266.24 1.0000000
## 2010-2003 -1.137129e+04  -53759.40  31016.81 1.0000000
## 2011-2003 -1.137121e+04  -53570.78  30828.36 1.0000000
## 2012-2003 -1.136911e+04  -59242.04  36503.82 1.0000000
## 2013-2003 -7.930330e+03  -44444.98  28584.32 1.0000000
## 2014-2003 -1.137045e+04  -58891.09  36150.18 1.0000000
## 2015-2003 -1.137359e+04  -57600.90  34853.73 1.0000000
## 2005-2004  2.961049e+03  -37740.78  43662.88 1.0000000
## 2006-2004  5.850379e+03  -34982.38  46683.14 1.0000000
## 2007-2004  6.680564e+03  -34850.76  48211.89 1.0000000
## 2008-2004 -7.639041e+02  -38814.29  37286.48 1.0000000
## 2009-2004  6.786890e+02  -40706.74  42064.11 1.0000000
## 2010-2004 -1.341481e+04  -56608.39  29778.78 1.0000000
## 2011-2004 -1.341472e+04  -56423.31  29593.86 1.0000000
## 2012-2004 -1.341262e+04  -62000.19  35174.94 1.0000000
## 2013-2004 -9.973843e+03  -47420.53  27472.84 1.0000000
## 2014-2004 -1.341396e+04  -61654.46  34826.53 1.0000000
## 2015-2004 -1.341710e+04  -60384.10  33549.90 1.0000000
## 2006-2005  2.889330e+03  -39080.20  44858.86 1.0000000
## 2007-2005  3.719515e+03  -38929.96  46368.99 1.0000000
## 2008-2005 -3.724953e+03  -42992.74  35542.84 1.0000000
## 2009-2005 -2.282360e+03  -44789.78  40225.06 1.0000000
## 2010-2005 -1.637585e+04  -60645.63  27893.92 1.0000000
## 2011-2005 -1.637577e+04  -60465.06  27713.52 1.0000000
## 2012-2005 -1.637367e+04  -65920.41  33173.06 1.0000000
## 2013-2005 -1.293489e+04  -51617.98  25748.20 1.0000000
## 2014-2005 -1.637501e+04  -65581.44  32831.41 1.0000000
## 2015-2005 -1.637815e+04  -64336.74  31580.44 1.0000000
## 2007-2006  8.301852e+02  -41944.26  43604.63 1.0000000
## 2008-2006 -6.614283e+03  -46017.77  32789.20 1.0000000
## 2009-2006 -5.171690e+03  -47804.49  37461.11 1.0000000
## 2010-2006 -1.926518e+04  -63655.37  25125.00 0.9999910
## 2011-2006 -1.926510e+04  -63475.29  24945.09 0.9999898
## 2012-2006 -1.926300e+04  -68917.35  30391.34 0.9999998
## 2013-2006 -1.582422e+04  -54645.05  22996.61 0.9999988
## 2014-2006 -1.926434e+04  -68579.13  30050.44 0.9999997
## 2015-2006 -1.926748e+04  -67337.24  28802.28 0.9999993
## 2008-2007 -7.444468e+03  -47571.40  32682.47 1.0000000
## 2009-2007 -6.001875e+03  -49304.21  37300.46 1.0000000
## 2010-2007 -2.009537e+04  -65128.96  24938.23 0.9999790
## 2011-2007 -2.009529e+04  -64951.47  24760.90 0.9999764
## 2012-2007 -2.009319e+04  -70323.56  30137.19 0.9999994
## 2013-2007 -1.665441e+04  -56209.34  22900.53 0.9999965
## 2014-2007 -2.009453e+04  -69989.26  29800.20 0.9999992
## 2015-2007 -2.009766e+04  -68762.21  28566.88 0.9999981
## 2009-2008  1.442593e+03  -38533.32  41418.51 1.0000000
## 2010-2008 -1.265090e+04  -54495.93  29194.12 1.0000000
## 2011-2008 -1.265082e+04  -54304.85  29003.21 1.0000000
## 2012-2008 -1.264872e+04  -60041.46  34744.02 1.0000000
## 2013-2008 -9.209939e+03  -45092.73  26672.85 1.0000000
## 2014-2008 -1.265006e+04  -59686.91  34386.79 1.0000000
## 2015-2008 -1.265319e+04  -58383.05  33076.66 1.0000000
## 2010-2009 -1.409349e+04  -58992.57  30805.58 1.0000000
## 2011-2009 -1.409341e+04  -58814.55  30627.72 1.0000000
## 2012-2009 -1.409131e+04  -64201.12  36018.50 1.0000000
## 2013-2009 -1.065253e+04  -50054.25  28749.19 1.0000000
## 2014-2009 -1.409265e+04  -63866.01  35680.70 1.0000000
## 2015-2009 -1.409579e+04  -62635.88  34444.31 1.0000000
## 2011-2010  8.188003e-02  -46399.40  46399.57 1.0000000
## 2012-2010  2.181733e+00  -51611.05  51615.41 1.0000000
## 2013-2010  3.440963e+03  -37855.87  44737.79 1.0000000
## 2014-2010  8.410381e-01  -51285.80  51287.48 1.0000000
## 2015-2010 -2.292969e+00  -50092.94  50088.35 1.0000000
## 2012-2011  2.099853e+00  -51456.41  51460.61 1.0000000
## 2013-2011  3.440881e+03  -37662.41  44544.17 1.0000000
## 2014-2011  7.591581e-01  -51130.17  51131.69 1.0000000
## 2015-2011 -2.374849e+00  -49933.58  49928.83 1.0000000
## 2013-2012  3.438781e+03  -43470.64  50348.20 1.0000000
## 2014-2012 -1.340695e+00  -55906.48  55903.80 1.0000000
## 2015-2012 -4.474702e+00  -54814.50  54805.55 1.0000000
## 2014-2013 -3.440122e+03  -49989.96  43109.72 1.0000000
## 2015-2013 -3.443256e+03  -48672.02  41785.51 1.0000000
## 2015-2014 -3.134007e+00  -54505.73  54499.46 1.0000000

Hypothesis Test

H0 = The mean of all the world indicators that effect the adolescent fertility rates are equal throughout from 1960 to 2015.

H1 = The mean of all the world indicators that effect the adolescent fertility rates are not equal throughout from 1960 to 2015.

Inference

## Response variable: numerical, Explanatory variable: categorical
## ANOVA
## 
## Summary statistics:
## n_1960 = 8, mean_1960 = 108.5844, sd_1960 = 111.4037
## n_1961 = 8, mean_1961 = 108.0628, sd_1961 = 110.1926
## n_1962 = 8, mean_1962 = 107.5395, sd_1962 = 108.9841
## n_1963 = 8, mean_1963 = 107.1252, sd_1963 = 108.1576
## n_1964 = 8, mean_1964 = 106.7091, sd_1964 = 107.338
## n_1965 = 8, mean_1965 = 106.2924, sd_1965 = 106.5252
## n_1966 = 8, mean_1966 = 105.8756, sd_1966 = 105.7186
## n_1967 = 8, mean_1967 = 105.4586, sd_1967 = 104.9189
## n_1968 = 9, mean_1968 = 95.086, sd_1968 = 101.9698
## n_1969 = 8, mean_1969 = 104.6324, sd_1969 = 103.539
## n_1970 = 20, mean_1970 = 55.6774, sd_1970 = 75.1176
## n_1971 = 18, mean_1971 = 63.7313, sd_1971 = 77.342
## n_1972 = 16, mean_1972 = 64.7478, sd_1972 = 81.3583
## n_1973 = 17, mean_1973 = 62.2873, sd_1973 = 78.8748
## n_1974 = 14, mean_1974 = 72.8536, sd_1974 = 82.7464
## n_1975 = 23, mean_1975 = 55.9384, sd_1975 = 67.439
## n_1976 = 18, mean_1976 = 71.4045, sd_1976 = 74.7944
## n_1977 = 14, mean_1977 = 72.0719, sd_1977 = 81.1674
## n_1978 = 15, mean_1978 = 69.5403, sd_1978 = 78.2439
## n_1979 = 11, mean_1979 = 77.5875, sd_1979 = 90.7315
## n_1980 = 27, mean_1980 = 53.8608, sd_1980 = 61.4566
## n_1981 = 36, mean_1981 = 14545.68, sd_1981 = 60633.62
## n_1982 = 35, mean_1982 = 15220.01, sd_1982 = 63603.39
## n_1983 = 39, mean_1983 = 17227.48, sd_1983 = 75553.44
## n_1984 = 39, mean_1984 = 19071.7, sd_1984 = 85420.05
## n_1985 = 36, mean_1985 = 66.3896, sd_1985 = 57.0808
## n_1986 = 39, mean_1986 = 13621.17, sd_1986 = 59119.92
## n_1987 = 38, mean_1987 = 13745.63, sd_1987 = 59205.47
## n_1988 = 37, mean_1988 = 9573.564, sd_1988 = 41068.73
## n_1989 = 34, mean_1989 = 6663.447, sd_1989 = 27948.37
## n_1990 = 46, mean_1990 = 3219.737, sd_1990 = 17164.89
## n_1991 = 38, mean_1991 = 55.3709, sd_1991 = 57.1911
## n_1992 = 43, mean_1992 = 55.8417, sd_1992 = 56.6114
## n_1993 = 47, mean_1993 = 65.0502, sd_1993 = 86.7019
## n_1994 = 38, mean_1994 = 55.1517, sd_1994 = 57.3727
## n_1995 = 44, mean_1995 = 56.0172, sd_1995 = 56.0533
## n_1996 = 42, mean_1996 = 52.562, sd_1996 = 55.0959
## n_1997 = 43, mean_1997 = 60.3861, sd_1997 = 59.3708
## n_1998 = 79, mean_1998 = 11771.57, sd_1998 = 74233.35
## n_1999 = 76, mean_1999 = 16742.85, sd_1999 = 102331.3
## n_2000 = 66, mean_2000 = 48.9957, sd_2000 = 46.9671
## n_2001 = 94, mean_2001 = 13000.33, sd_2001 = 88738.48
## n_2002 = 81, mean_2002 = 14622.53, sd_2002 = 93106.14
## n_2003 = 102, mean_2003 = 11416, sd_2003 = 81335.37
## n_2004 = 93, mean_2004 = 13459.51, sd_2004 = 91623.83
## n_2005 = 83, mean_2005 = 16420.56, sd_2005 = 105591.6
## n_2006 = 82, mean_2006 = 19309.89, sd_2006 = 123329.3
## n_2007 = 77, mean_2007 = 20140.07, sd_2007 = 124747.1
## n_2008 = 109, mean_2008 = 12695.6, sd_2008 = 94150.04
## n_2009 = 78, mean_2009 = 14138.2, sd_2009 = 89509.39
## n_2010 = 67, mean_2010 = 44.7021, sd_2010 = 47.8824
## n_2011 = 68, mean_2011 = 44.784, sd_2011 = 53.2174
## n_2012 = 46, mean_2012 = 46.8839, sd_2012 = 55.4703
## n_2013 = 117, mean_2013 = 3485.665, sd_2013 = 31277.99
## n_2014 = 47, mean_2014 = 45.5432, sd_2014 = 56.4885
## n_2015 = 51, mean_2015 = 42.4092, sd_2015 = 56.58
## H_0: All means are equal.
## H_A: At least one mean is different.
## Analysis of Variance Table
## 
## Response: data
##             Df     Sum Sq    Mean Sq F value Pr(>F)
## group       55 1.2730e+11 2314551710  0.5227 0.9986
## Residuals 2308 1.0221e+13 4428476709

As we can see, p-value is greater than 0.05.

Therefore, we fail to reject the null hypothesis and conclude that The mean of all the world indicators that effect the adolescent fertility rates are almost equal throughout from 1960 to 2015. . It does not necessarily vary for each of the world indicators.

United States

Confidence Interval

ANOVA Analysis

We will conduct an ANOVA analysis to test the confidence interval, to know the 95% confidence level and difference between the mean rate of adolescent fertility through 1960 to 2015.

## $names
##  [1] "coefficients"  "residuals"     "effects"       "rank"         
##  [5] "fitted.values" "assign"        "qr"            "df.residual"  
##  [9] "contrasts"     "xlevels"       "call"          "terms"        
## [13] "model"        
## 
## $class
## [1] "aov" "lm"
##                     Df    Sum Sq   Mean Sq F value Pr(>F)
## UnitedStates$year   55 1.422e+11 2.586e+09    0.45      1
## Residuals         2371 1.363e+13 5.747e+09

Conduct a Tukey’s multiple comparison procedure

Tukey’s multiple comparison

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = UnitedStates$n ~ UnitedStates$year)
## 
## $`UnitedStates$year`
##                    diff        lwr       upr     p adj
## 1961-1960 -1.252059e+00 -137316.73 137314.22 1.0000000
## 1962-1960 -1.069418e+00 -137316.54 137314.40 1.0000000
## 1963-1960 -9.036300e-01 -137316.38 137314.57 1.0000000
## 1964-1960 -1.433543e+00 -137316.91 137314.04 1.0000000
## 1965-1960 -1.738456e+00 -137317.21 137313.73 1.0000000
## 1966-1960 -1.748268e+00 -137317.22 137313.72 1.0000000
## 1967-1960 -2.299781e+00 -137317.77 137313.17 1.0000000
## 1968-1960 -1.579277e+00 -137317.05 137313.89 1.0000000
## 1969-1960 -1.952772e+00 -137317.43 137313.52 1.0000000
## 1970-1960 -7.998599e+00 -118926.69 118910.69 1.0000000
## 1971-1960 -1.231578e+01 -129163.00 129138.37 1.0000000
## 1972-1960 -1.648166e+01 -121117.35 121084.38 1.0000000
## 1973-1960 -1.222087e+01 -127141.65 127117.20 1.0000000
## 1974-1960 -1.376242e+01 -129164.45 129136.92 1.0000000
## 1975-1960 -1.922775e+01 -122385.55 122347.09 1.0000000
## 1976-1960 -2.610720e+01 -117129.14 117076.92 1.0000000
## 1977-1960 -2.747256e+01 -117998.59 117943.64 1.0000000
## 1978-1960 -2.638112e+01 -114279.76 114227.00 1.0000000
## 1979-1960 -2.998973e+01 -115598.18 115538.20 1.0000000
## 1980-1960 -1.789168e+01 -110854.12 110818.34 1.0000000
## 1981-1960 -2.728151e+01 -109784.26 109729.70 1.0000000
## 1982-1960 -2.515635e+01 -110481.68 110431.36 1.0000000
## 1983-1960 -2.587694e+01 -109459.95 109408.19 1.0000000
## 1984-1960 -2.615919e+01 -110123.47 110071.15 1.0000000
## 1985-1960 -2.622913e+01 -110123.54 110071.08 1.0000000
## 1986-1960  3.493092e+04  -73904.49 143766.33 1.0000000
## 1987-1960  2.641726e+04  -82418.15 135252.67 1.0000000
## 1988-1960 -2.561114e+01 -113139.85 113088.62 1.0000000
## 1989-1960 -2.465172e+01 -113138.89 113089.58 1.0000000
## 1990-1960  8.321048e+03  -98043.06 114685.16 1.0000000
## 1991-1960  7.569423e+03  -97700.54 112839.38 1.0000000
## 1992-1960  7.912597e+01 -109048.15 109206.40 1.0000000
## 1993-1960  1.609586e+04  -89459.39 121651.10 1.0000000
## 1994-1960  1.698829e+04  -88146.13 122122.72 1.0000000
## 1995-1960  1.174675e+04  -93387.67 116881.17 1.0000000
## 1996-1960  1.415948e+04  -90974.94 119293.91 1.0000000
## 1997-1960  8.503019e+01 -108750.38 108920.44 1.0000000
## 1998-1960  5.439434e+01 -105080.03 105188.82 1.0000000
## 1999-1960  1.037327e+04  -94761.16 115507.69 1.0000000
## 2000-1960  8.703749e+03  -95387.07 112794.57 1.0000000
## 2001-1960  1.004093e+04  -94152.26 114234.11 1.0000000
## 2002-1960  1.394090e+04  -89768.43 117650.23 1.0000000
## 2003-1960  1.674891e+04  -87444.27 120942.09 1.0000000
## 2004-1960  1.648929e+04  -86290.31 119268.89 1.0000000
## 2005-1960  1.321264e+04  -89312.59 115737.86 1.0000000
## 2006-1960  1.110008e+04  -91815.86 114016.03 1.0000000
## 2007-1960  1.008803e+04  -94002.80 114178.85 1.0000000
## 2008-1960  7.624867e+03  -95434.14 110683.87 1.0000000
## 2009-1960  1.150756e+04  -91272.04 114287.15 1.0000000
## 2010-1960  1.522692e+04  -87552.68 118006.52 1.0000000
## 2011-1960  1.786679e+04  -84912.80 120646.39 1.0000000
## 2012-1960  1.761524e+04  -85231.72 120462.20 1.0000000
## 2013-1960  1.597535e+04  -86103.87 118054.56 1.0000000
## 2014-1960  1.636121e+04  -85987.70 118710.12 1.0000000
## 2015-1960  1.654609e+04  -86233.51 119325.68 1.0000000
## 1962-1961  1.826410e-01 -137315.29 137315.66 1.0000000
## 1963-1961  3.484289e-01 -137315.12 137315.82 1.0000000
## 1964-1961 -1.814840e-01 -137315.65 137315.29 1.0000000
## 1965-1961 -4.863970e-01 -137315.96 137314.99 1.0000000
## 1966-1961 -4.962091e-01 -137315.97 137314.98 1.0000000
## 1967-1961 -1.047722e+00 -137316.52 137314.43 1.0000000
## 1968-1961 -3.272180e-01 -137315.80 137315.15 1.0000000
## 1969-1961 -7.007130e-01 -137316.17 137314.77 1.0000000
## 1970-1961 -6.746540e+00 -118925.43 118911.94 1.0000000
## 1971-1961 -1.106372e+01 -129161.75 129139.62 1.0000000
## 1972-1961 -1.522960e+01 -121116.09 121085.63 1.0000000
## 1973-1961 -1.096881e+01 -127140.39 127118.46 1.0000000
## 1974-1961 -1.251036e+01 -129163.20 129138.18 1.0000000
## 1975-1961 -1.797569e+01 -122384.30 122348.34 1.0000000
## 1976-1961 -2.485514e+01 -117127.88 117078.17 1.0000000
## 1977-1961 -2.622050e+01 -117997.33 117944.89 1.0000000
## 1978-1961 -2.512906e+01 -114278.51 114228.25 1.0000000
## 1979-1961 -2.873767e+01 -115596.93 115539.45 1.0000000
## 1980-1961 -1.663962e+01 -110852.87 110819.59 1.0000000
## 1981-1961 -2.602945e+01 -109783.01 109730.95 1.0000000
## 1982-1961 -2.390429e+01 -110480.43 110432.62 1.0000000
## 1983-1961 -2.462488e+01 -109458.69 109409.44 1.0000000
## 1984-1961 -2.490713e+01 -110122.22 110072.40 1.0000000
## 1985-1961 -2.497707e+01 -110122.29 110072.33 1.0000000
## 1986-1961  3.493218e+04  -73903.23 143767.58 1.0000000
## 1987-1961  2.641851e+04  -82416.90 135253.92 1.0000000
## 1988-1961 -2.435909e+01 -113138.59 113089.88 1.0000000
## 1989-1961 -2.339966e+01 -113137.63 113090.84 1.0000000
## 1990-1961  8.322300e+03  -98041.81 114686.41 1.0000000
## 1991-1961  7.570675e+03  -97699.28 112840.63 1.0000000
## 1992-1961  8.037803e+01 -109046.89 109207.65 1.0000000
## 1993-1961  1.609711e+04  -89458.14 121652.35 1.0000000
## 1994-1961  1.698955e+04  -88144.88 122123.97 1.0000000
## 1995-1961  1.174800e+04  -93386.42 116882.42 1.0000000
## 1996-1961  1.416073e+04  -90973.69 119295.16 1.0000000
## 1997-1961  8.628225e+01 -108749.13 108921.69 1.0000000
## 1998-1961  5.564640e+01 -105078.78 105190.07 1.0000000
## 1999-1961  1.037452e+04  -94759.90 115508.94 1.0000000
## 2000-1961  8.705001e+03  -95385.82 112795.82 1.0000000
## 2001-1961  1.004218e+04  -94151.01 114235.36 1.0000000
## 2002-1961  1.394215e+04  -89767.17 117651.48 1.0000000
## 2003-1961  1.675016e+04  -87443.02 120943.35 1.0000000
## 2004-1961  1.649054e+04  -86289.05 119270.14 1.0000000
## 2005-1961  1.321389e+04  -89311.33 115739.11 1.0000000
## 2006-1961  1.110134e+04  -91814.61 114017.28 1.0000000
## 2007-1961  1.008928e+04  -94001.54 114180.10 1.0000000
## 2008-1961  7.626119e+03  -95432.88 110685.12 1.0000000
## 2009-1961  1.150881e+04  -91270.79 114288.40 1.0000000
## 2010-1961  1.522817e+04  -87551.42 118007.77 1.0000000
## 2011-1961  1.786805e+04  -84911.55 120647.64 1.0000000
## 2012-1961  1.761650e+04  -85230.47 120463.46 1.0000000
## 2013-1961  1.597660e+04  -86102.62 118055.82 1.0000000
## 2014-1961  1.636246e+04  -85986.45 118711.38 1.0000000
## 2015-1961  1.654734e+04  -86232.26 119326.94 1.0000000
## 1963-1962  1.657880e-01 -137315.31 137315.64 1.0000000
## 1964-1962 -3.641250e-01 -137315.84 137315.11 1.0000000
## 1965-1962 -6.690380e-01 -137316.14 137314.80 1.0000000
## 1966-1962 -6.788500e-01 -137316.15 137314.79 1.0000000
## 1967-1962 -1.230363e+00 -137316.70 137314.24 1.0000000
## 1968-1962 -5.098590e-01 -137315.98 137314.96 1.0000000
## 1969-1962 -8.833540e-01 -137316.36 137314.59 1.0000000
## 1970-1962 -6.929181e+00 -118925.62 118911.76 1.0000000
## 1971-1962 -1.124636e+01 -129161.93 129139.44 1.0000000
## 1972-1962 -1.541224e+01 -121116.28 121085.45 1.0000000
## 1973-1962 -1.115145e+01 -127140.58 127118.27 1.0000000
## 1974-1962 -1.269300e+01 -129163.38 129137.99 1.0000000
## 1975-1962 -1.815833e+01 -122384.48 122348.16 1.0000000
## 1976-1962 -2.503779e+01 -117128.07 117077.99 1.0000000
## 1977-1962 -2.640314e+01 -117997.52 117944.71 1.0000000
## 1978-1962 -2.531170e+01 -114278.69 114228.07 1.0000000
## 1979-1962 -2.892031e+01 -115597.11 115539.27 1.0000000
## 1980-1962 -1.682226e+01 -110853.05 110819.41 1.0000000
## 1981-1962 -2.621209e+01 -109783.19 109730.77 1.0000000
## 1982-1962 -2.408693e+01 -110480.61 110432.43 1.0000000
## 1983-1962 -2.480752e+01 -109458.88 109409.26 1.0000000
## 1984-1962 -2.508977e+01 -110122.40 110072.22 1.0000000
## 1985-1962 -2.515971e+01 -110122.47 110072.15 1.0000000
## 1986-1962  3.493199e+04  -73903.42 143767.40 1.0000000
## 1987-1962  2.641833e+04  -82417.08 135253.74 1.0000000
## 1988-1962 -2.454173e+01 -113138.78 113089.69 1.0000000
## 1989-1962 -2.358230e+01 -113137.82 113090.65 1.0000000
## 1990-1962  8.322117e+03  -98041.99 114686.23 1.0000000
## 1991-1962  7.570493e+03  -97699.47 112840.45 1.0000000
## 1992-1962  8.019539e+01 -109047.08 109207.47 1.0000000
## 1993-1962  1.609693e+04  -89458.32 121652.17 1.0000000
## 1994-1962  1.698936e+04  -88145.06 122123.79 1.0000000
## 1995-1962  1.174782e+04  -93386.61 116882.24 1.0000000
## 1996-1962  1.416055e+04  -90973.87 119294.97 1.0000000
## 1997-1962  8.609961e+01 -108749.31 108921.51 1.0000000
## 1998-1962  5.546376e+01 -105078.96 105189.89 1.0000000
## 1999-1962  1.037434e+04  -94760.09 115508.76 1.0000000
## 2000-1962  8.704818e+03  -95386.00 112795.64 1.0000000
## 2001-1962  1.004200e+04  -94151.19 114235.18 1.0000000
## 2002-1962  1.394197e+04  -89767.36 117651.30 1.0000000
## 2003-1962  1.674998e+04  -87443.20 120943.16 1.0000000
## 2004-1962  1.649036e+04  -86289.24 119269.96 1.0000000
## 2005-1962  1.321371e+04  -89311.52 115738.93 1.0000000
## 2006-1962  1.110115e+04  -91814.79 114017.10 1.0000000
## 2007-1962  1.008910e+04  -94001.73 114179.92 1.0000000
## 2008-1962  7.625937e+03  -95433.07 110684.94 1.0000000
## 2009-1962  1.150863e+04  -91270.97 114288.22 1.0000000
## 2010-1962  1.522799e+04  -87551.61 118007.59 1.0000000
## 2011-1962  1.786786e+04  -84911.73 120647.46 1.0000000
## 2012-1962  1.761631e+04  -85230.65 120463.27 1.0000000
## 2013-1962  1.597642e+04  -86102.80 118055.63 1.0000000
## 2014-1962  1.636228e+04  -85986.63 118711.19 1.0000000
## 2015-1962  1.654716e+04  -86232.44 119326.75 1.0000000
## 1964-1963 -5.299130e-01 -137316.00 137314.94 1.0000000
## 1965-1963 -8.348260e-01 -137316.31 137314.64 1.0000000
## 1966-1963 -8.446380e-01 -137316.32 137314.63 1.0000000
## 1967-1963 -1.396151e+00 -137316.87 137314.08 1.0000000
## 1968-1963 -6.756470e-01 -137316.15 137314.80 1.0000000
## 1969-1963 -1.049142e+00 -137316.52 137314.42 1.0000000
## 1970-1963 -7.094969e+00 -118925.78 118911.59 1.0000000
## 1971-1963 -1.141215e+01 -129162.10 129139.28 1.0000000
## 1972-1963 -1.557803e+01 -121116.44 121085.29 1.0000000
## 1973-1963 -1.131724e+01 -127140.74 127118.11 1.0000000
## 1974-1963 -1.285879e+01 -129163.55 129137.83 1.0000000
## 1975-1963 -1.832412e+01 -122384.64 122348.00 1.0000000
## 1976-1963 -2.520357e+01 -117128.23 117077.83 1.0000000
## 1977-1963 -2.656893e+01 -117997.68 117944.54 1.0000000
## 1978-1963 -2.547749e+01 -114278.86 114227.90 1.0000000
## 1979-1963 -2.908610e+01 -115597.28 115539.11 1.0000000
## 1980-1963 -1.698805e+01 -110853.22 110819.24 1.0000000
## 1981-1963 -2.637788e+01 -109783.36 109730.60 1.0000000
## 1982-1963 -2.425272e+01 -110480.77 110432.27 1.0000000
## 1983-1963 -2.497331e+01 -109459.04 109409.10 1.0000000
## 1984-1963 -2.525556e+01 -110122.57 110072.06 1.0000000
## 1985-1963 -2.532550e+01 -110122.64 110071.99 1.0000000
## 1986-1963  3.493183e+04  -73903.58 143767.24 1.0000000
## 1987-1963  2.641816e+04  -82417.25 135253.57 1.0000000
## 1988-1963 -2.470751e+01 -113138.94 113089.53 1.0000000
## 1989-1963 -2.374809e+01 -113137.98 113090.49 1.0000000
## 1990-1963  8.321952e+03  -98042.16 114686.06 1.0000000
## 1991-1963  7.570327e+03  -97699.63 112840.29 1.0000000
## 1992-1963  8.002960e+01 -109047.24 109207.30 1.0000000
## 1993-1963  1.609676e+04  -89458.48 121652.00 1.0000000
## 1994-1963  1.698920e+04  -88145.23 122123.62 1.0000000
## 1995-1963  1.174765e+04  -93386.77 116882.08 1.0000000
## 1996-1963  1.416038e+04  -90974.04 119294.81 1.0000000
## 1997-1963  8.593382e+01 -108749.48 108921.34 1.0000000
## 1998-1963  5.529797e+01 -105079.13 105189.72 1.0000000
## 1999-1963  1.037417e+04  -94760.25 115508.60 1.0000000
## 2000-1963  8.704653e+03  -95386.17 112795.48 1.0000000
## 2001-1963  1.004183e+04  -94151.35 114235.01 1.0000000
## 2002-1963  1.394180e+04  -89767.52 117651.13 1.0000000
## 2003-1963  1.674981e+04  -87443.37 120943.00 1.0000000
## 2004-1963  1.649019e+04  -86289.40 119269.79 1.0000000
## 2005-1963  1.321354e+04  -89311.68 115738.76 1.0000000
## 2006-1963  1.110099e+04  -91814.96 114016.93 1.0000000
## 2007-1963  1.008893e+04  -94001.89 114179.75 1.0000000
## 2008-1963  7.625771e+03  -95433.23 110684.77 1.0000000
## 2009-1963  1.150846e+04  -91271.14 114288.06 1.0000000
## 2010-1963  1.522782e+04  -87551.77 118007.42 1.0000000
## 2011-1963  1.786770e+04  -84911.90 120647.29 1.0000000
## 2012-1963  1.761615e+04  -85230.82 120463.11 1.0000000
## 2013-1963  1.597625e+04  -86102.96 118055.47 1.0000000
## 2014-1963  1.636212e+04  -85986.79 118711.03 1.0000000
## 2015-1963  1.654699e+04  -86232.60 119326.59 1.0000000
## 1965-1964 -3.049130e-01 -137315.78 137315.17 1.0000000
## 1966-1964 -3.147250e-01 -137315.79 137315.16 1.0000000
## 1967-1964 -8.662380e-01 -137316.34 137314.61 1.0000000
## 1968-1964 -1.457340e-01 -137315.62 137315.33 1.0000000
## 1969-1964 -5.192290e-01 -137315.99 137314.95 1.0000000
## 1970-1964 -6.565056e+00 -118925.25 118912.12 1.0000000
## 1971-1964 -1.088224e+01 -129161.57 129139.80 1.0000000
## 1972-1964 -1.504812e+01 -121115.91 121085.82 1.0000000
## 1973-1964 -1.078733e+01 -127140.21 127118.64 1.0000000
## 1974-1964 -1.232888e+01 -129163.02 129138.36 1.0000000
## 1975-1964 -1.779420e+01 -122384.11 122348.53 1.0000000
## 1976-1964 -2.467366e+01 -117127.70 117078.36 1.0000000
## 1977-1964 -2.603902e+01 -117997.15 117945.07 1.0000000
## 1978-1964 -2.494758e+01 -114278.33 114228.43 1.0000000
## 1979-1964 -2.855619e+01 -115596.75 115539.64 1.0000000
## 1980-1964 -1.645814e+01 -110852.69 110819.77 1.0000000
## 1981-1964 -2.584796e+01 -109782.83 109731.13 1.0000000
## 1982-1964 -2.372280e+01 -110480.24 110432.80 1.0000000
## 1983-1964 -2.444339e+01 -109458.51 109409.63 1.0000000
## 1984-1964 -2.472565e+01 -110122.04 110072.59 1.0000000
## 1985-1964 -2.479558e+01 -110122.11 110072.52 1.0000000
## 1986-1964  3.493236e+04  -73903.05 143767.77 1.0000000
## 1987-1964  2.641869e+04  -82416.72 135254.10 1.0000000
## 1988-1964 -2.417760e+01 -113138.41 113090.06 1.0000000
## 1989-1964 -2.321817e+01 -113137.45 113091.02 1.0000000
## 1990-1964  8.322482e+03  -98041.63 114686.59 1.0000000
## 1991-1964  7.570857e+03  -97699.10 112840.82 1.0000000
## 1992-1964  8.055952e+01 -109046.71 109207.83 1.0000000
## 1993-1964  1.609729e+04  -89457.95 121652.53 1.0000000
## 1994-1964  1.698973e+04  -88144.70 122124.15 1.0000000
## 1995-1964  1.174818e+04  -93386.24 116882.61 1.0000000
## 1996-1964  1.416091e+04  -90973.51 119295.34 1.0000000
## 1997-1964  8.646373e+01 -108748.95 108921.87 1.0000000
## 1998-1964  5.582789e+01 -105078.60 105190.25 1.0000000
## 1999-1964  1.037470e+04  -94759.72 115509.13 1.0000000
## 2000-1964  8.705183e+03  -95385.64 112796.01 1.0000000
## 2001-1964  1.004236e+04  -94150.82 114235.54 1.0000000
## 2002-1964  1.394233e+04  -89766.99 117651.66 1.0000000
## 2003-1964  1.675034e+04  -87442.84 120943.53 1.0000000
## 2004-1964  1.649072e+04  -86288.87 119270.32 1.0000000
## 2005-1964  1.321407e+04  -89311.15 115739.29 1.0000000
## 2006-1964  1.110152e+04  -91814.43 114017.46 1.0000000
## 2007-1964  1.008946e+04  -94001.36 114180.28 1.0000000
## 2008-1964  7.626301e+03  -95432.70 110685.30 1.0000000
## 2009-1964  1.150899e+04  -91270.61 114288.59 1.0000000
## 2010-1964  1.522835e+04  -87551.24 118007.95 1.0000000
## 2011-1964  1.786823e+04  -84911.37 120647.82 1.0000000
## 2012-1964  1.761668e+04  -85230.29 120463.64 1.0000000
## 2013-1964  1.597678e+04  -86102.43 118056.00 1.0000000
## 2014-1964  1.636265e+04  -85986.26 118711.56 1.0000000
## 2015-1964  1.654752e+04  -86232.07 119327.12 1.0000000
## 1966-1965 -9.812027e-03 -137315.48 137315.46 1.0000000
## 1967-1965 -5.613250e-01 -137316.03 137314.91 1.0000000
## 1968-1965  1.591790e-01 -137315.31 137315.63 1.0000000
## 1969-1965 -2.143160e-01 -137315.69 137315.26 1.0000000
## 1970-1965 -6.260143e+00 -118924.95 118912.43 1.0000000
## 1971-1965 -1.057733e+01 -129161.26 129140.11 1.0000000
## 1972-1965 -1.474321e+01 -121115.61 121086.12 1.0000000
## 1973-1965 -1.048242e+01 -127139.91 127118.94 1.0000000
## 1974-1965 -1.202397e+01 -129162.71 129138.66 1.0000000
## 1975-1965 -1.748929e+01 -122383.81 122348.83 1.0000000
## 1976-1965 -2.436875e+01 -117127.40 117078.66 1.0000000
## 1977-1965 -2.573410e+01 -117996.85 117945.38 1.0000000
## 1978-1965 -2.464266e+01 -114278.02 114228.74 1.0000000
## 1979-1965 -2.825128e+01 -115596.44 115539.94 1.0000000
## 1980-1965 -1.615323e+01 -110852.38 110820.07 1.0000000
## 1981-1965 -2.554305e+01 -109782.52 109731.44 1.0000000
## 1982-1965 -2.341789e+01 -110479.94 110433.10 1.0000000
## 1983-1965 -2.413848e+01 -109458.21 109409.93 1.0000000
## 1984-1965 -2.442074e+01 -110121.73 110072.89 1.0000000
## 1985-1965 -2.449067e+01 -110121.80 110072.82 1.0000000
## 1986-1965  3.493266e+04  -73902.75 143768.07 1.0000000
## 1987-1965  2.641900e+04  -82416.41 135254.41 1.0000000
## 1988-1965 -2.387269e+01 -113138.11 113090.36 1.0000000
## 1989-1965 -2.291326e+01 -113137.15 113091.32 1.0000000
## 1990-1965  8.322786e+03  -98041.32 114686.89 1.0000000
## 1991-1965  7.571162e+03  -97698.80 112841.12 1.0000000
## 1992-1965  8.086443e+01 -109046.41 109208.14 1.0000000
## 1993-1965  1.609759e+04  -89457.65 121652.84 1.0000000
## 1994-1965  1.699003e+04  -88144.39 122124.46 1.0000000
## 1995-1965  1.174849e+04  -93385.94 116882.91 1.0000000
## 1996-1965  1.416122e+04  -90973.20 119295.64 1.0000000
## 1997-1965  8.676865e+01 -108748.64 108922.18 1.0000000
## 1998-1965  5.613280e+01 -105078.29 105190.56 1.0000000
## 1999-1965  1.037501e+04  -94759.42 115509.43 1.0000000
## 2000-1965  8.705487e+03  -95385.34 112796.31 1.0000000
## 2001-1965  1.004266e+04  -94150.52 114235.85 1.0000000
## 2002-1965  1.394264e+04  -89766.69 117651.97 1.0000000
## 2003-1965  1.675065e+04  -87442.53 120943.83 1.0000000
## 2004-1965  1.649103e+04  -86288.57 119270.63 1.0000000
## 2005-1965  1.321437e+04  -89310.85 115739.60 1.0000000
## 2006-1965  1.110182e+04  -91814.12 114017.77 1.0000000
## 2007-1965  1.008977e+04  -94001.06 114180.59 1.0000000
## 2008-1965  7.626606e+03  -95432.40 110685.61 1.0000000
## 2009-1965  1.150929e+04  -91270.30 114288.89 1.0000000
## 2010-1965  1.522866e+04  -87550.94 118008.26 1.0000000
## 2011-1965  1.786853e+04  -84911.06 120648.13 1.0000000
## 2012-1965  1.761698e+04  -85229.98 120463.94 1.0000000
## 2013-1965  1.597709e+04  -86102.13 118056.30 1.0000000
## 2014-1965  1.636295e+04  -85985.96 118711.86 1.0000000
## 2015-1965  1.654783e+04  -86231.77 119327.42 1.0000000
## 1967-1966 -5.515130e-01 -137316.02 137314.92 1.0000000
## 1968-1966  1.689910e-01 -137315.30 137315.64 1.0000000
## 1969-1966 -2.045040e-01 -137315.68 137315.27 1.0000000
## 1970-1966 -6.250331e+00 -118924.94 118912.44 1.0000000
## 1971-1966 -1.056751e+01 -129161.25 129140.12 1.0000000
## 1972-1966 -1.473339e+01 -121115.60 121086.13 1.0000000
## 1973-1966 -1.047260e+01 -127139.90 127118.95 1.0000000
## 1974-1966 -1.201415e+01 -129162.70 129138.67 1.0000000
## 1975-1966 -1.747948e+01 -122383.80 122348.84 1.0000000
## 1976-1966 -2.435894e+01 -117127.39 117078.67 1.0000000
## 1977-1966 -2.572429e+01 -117996.84 117945.39 1.0000000
## 1978-1966 -2.463285e+01 -114278.01 114228.75 1.0000000
## 1979-1966 -2.824146e+01 -115596.43 115539.95 1.0000000
## 1980-1966 -1.614341e+01 -110852.37 110820.08 1.0000000
## 1981-1966 -2.553324e+01 -109782.51 109731.45 1.0000000
## 1982-1966 -2.340808e+01 -110479.93 110433.11 1.0000000
## 1983-1966 -2.412867e+01 -109458.20 109409.94 1.0000000
## 1984-1966 -2.441092e+01 -110121.72 110072.90 1.0000000
## 1985-1966 -2.448086e+01 -110121.79 110072.83 1.0000000
## 1986-1966  3.493267e+04  -73902.74 143768.08 1.0000000
## 1987-1966  2.641901e+04  -82416.40 135254.42 1.0000000
## 1988-1966 -2.386288e+01 -113138.10 113090.37 1.0000000
## 1989-1966 -2.290345e+01 -113137.14 113091.33 1.0000000
## 1990-1966  8.322796e+03  -98041.31 114686.90 1.0000000
## 1991-1966  7.571172e+03  -97698.79 112841.13 1.0000000
## 1992-1966  8.087424e+01 -109046.40 109208.15 1.0000000
## 1993-1966  1.609760e+04  -89457.64 121652.85 1.0000000
## 1994-1966  1.699004e+04  -88144.38 122124.47 1.0000000
## 1995-1966  1.174850e+04  -93385.93 116882.92 1.0000000
## 1996-1966  1.416123e+04  -90973.19 119295.65 1.0000000
## 1997-1966  8.677846e+01 -108748.63 108922.19 1.0000000
## 1998-1966  5.614261e+01 -105078.28 105190.57 1.0000000
## 1999-1966  1.037502e+04  -94759.41 115509.44 1.0000000
## 2000-1966  8.705497e+03  -95385.33 112796.32 1.0000000
## 2001-1966  1.004267e+04  -94150.51 114235.86 1.0000000
## 2002-1966  1.394265e+04  -89766.68 117651.98 1.0000000
## 2003-1966  1.675066e+04  -87442.53 120943.84 1.0000000
## 2004-1966  1.649104e+04  -86288.56 119270.64 1.0000000
## 2005-1966  1.321438e+04  -89310.84 115739.61 1.0000000
## 2006-1966  1.110183e+04  -91814.11 114017.78 1.0000000
## 2007-1966  1.008978e+04  -94001.05 114180.60 1.0000000
## 2008-1966  7.626615e+03  -95432.39 110685.62 1.0000000
## 2009-1966  1.150930e+04  -91270.29 114288.90 1.0000000
## 2010-1966  1.522867e+04  -87550.93 118008.27 1.0000000
## 2011-1966  1.786854e+04  -84911.05 120648.14 1.0000000
## 2012-1966  1.761699e+04  -85229.97 120463.95 1.0000000
## 2013-1966  1.597710e+04  -86102.12 118056.31 1.0000000
## 2014-1966  1.636296e+04  -85985.95 118711.87 1.0000000
## 2015-1966  1.654784e+04  -86231.76 119327.43 1.0000000
## 1968-1967  7.205040e-01 -137314.75 137316.19 1.0000000
## 1969-1967  3.470090e-01 -137315.13 137315.82 1.0000000
## 1970-1967 -5.698818e+00 -118924.39 118912.99 1.0000000
## 1971-1967 -1.001600e+01 -129160.70 129140.67 1.0000000
## 1972-1967 -1.418188e+01 -121115.05 121086.68 1.0000000
## 1973-1967 -9.921090e+00 -127139.35 127119.50 1.0000000
## 1974-1967 -1.146264e+01 -129162.15 129139.22 1.0000000
## 1975-1967 -1.692797e+01 -122383.25 122349.39 1.0000000
## 1976-1967 -2.380742e+01 -117126.84 117079.22 1.0000000
## 1977-1967 -2.517278e+01 -117996.29 117945.94 1.0000000
## 1978-1967 -2.408134e+01 -114277.46 114229.30 1.0000000
## 1979-1967 -2.768995e+01 -115595.88 115540.50 1.0000000
## 1980-1967 -1.559190e+01 -110851.82 110820.64 1.0000000
## 1981-1967 -2.498173e+01 -109781.96 109732.00 1.0000000
## 1982-1967 -2.285656e+01 -110479.38 110433.66 1.0000000
## 1983-1967 -2.357715e+01 -109457.65 109410.49 1.0000000
## 1984-1967 -2.385941e+01 -110121.17 110073.45 1.0000000
## 1985-1967 -2.392934e+01 -110121.24 110073.38 1.0000000
## 1986-1967  3.493322e+04  -73902.19 143768.63 1.0000000
## 1987-1967  2.641956e+04  -82415.85 135254.97 1.0000000
## 1988-1967 -2.331136e+01 -113137.55 113090.92 1.0000000
## 1989-1967 -2.235194e+01 -113136.59 113091.88 1.0000000
## 1990-1967  8.323348e+03  -98040.76 114687.46 1.0000000
## 1991-1967  7.571723e+03  -97698.24 112841.68 1.0000000
## 1992-1967  8.142575e+01 -109045.85 109208.70 1.0000000
## 1993-1967  1.609816e+04  -89457.09 121653.40 1.0000000
## 1994-1967  1.699059e+04  -88143.83 122125.02 1.0000000
## 1995-1967  1.174905e+04  -93385.38 116883.47 1.0000000
## 1996-1967  1.416178e+04  -90972.64 119296.20 1.0000000
## 1997-1967  8.732997e+01 -108748.08 108922.74 1.0000000
## 1998-1967  5.669412e+01 -105077.73 105191.12 1.0000000
## 1999-1967  1.037557e+04  -94758.86 115509.99 1.0000000
## 2000-1967  8.706049e+03  -95384.77 112796.87 1.0000000
## 2001-1967  1.004323e+04  -94149.96 114236.41 1.0000000
## 2002-1967  1.394320e+04  -89766.13 117652.53 1.0000000
## 2003-1967  1.675121e+04  -87441.97 120944.39 1.0000000
## 2004-1967  1.649159e+04  -86288.01 119271.19 1.0000000
## 2005-1967  1.321494e+04  -89310.29 115740.16 1.0000000
## 2006-1967  1.110238e+04  -91813.56 114018.33 1.0000000
## 2007-1967  1.009033e+04  -94000.50 114181.15 1.0000000
## 2008-1967  7.627167e+03  -95431.84 110686.17 1.0000000
## 2009-1967  1.150986e+04  -91269.74 114289.45 1.0000000
## 2010-1967  1.522922e+04  -87550.38 118008.82 1.0000000
## 2011-1967  1.786909e+04  -84910.50 120648.69 1.0000000
## 2012-1967  1.761754e+04  -85229.42 120464.50 1.0000000
## 2013-1967  1.597765e+04  -86101.57 118056.86 1.0000000
## 2014-1967  1.636351e+04  -85985.40 118712.42 1.0000000
## 2015-1967  1.654839e+04  -86231.21 119327.98 1.0000000
## 1969-1968 -3.734950e-01 -137315.85 137315.10 1.0000000
## 1970-1968 -6.419322e+00 -118925.11 118912.27 1.0000000
## 1971-1968 -1.073650e+01 -129161.42 129139.95 1.0000000
## 1972-1968 -1.490238e+01 -121115.77 121085.96 1.0000000
## 1973-1968 -1.064159e+01 -127140.07 127118.78 1.0000000
## 1974-1968 -1.218314e+01 -129162.87 129138.50 1.0000000
## 1975-1968 -1.764847e+01 -122383.97 122348.67 1.0000000
## 1976-1968 -2.452793e+01 -117127.56 117078.50 1.0000000
## 1977-1968 -2.589328e+01 -117997.01 117945.22 1.0000000
## 1978-1968 -2.480184e+01 -114278.18 114228.58 1.0000000
## 1979-1968 -2.841045e+01 -115596.60 115539.78 1.0000000
## 1980-1968 -1.631241e+01 -110852.54 110819.92 1.0000000
## 1981-1968 -2.570223e+01 -109782.68 109731.28 1.0000000
## 1982-1968 -2.357707e+01 -110480.10 110432.94 1.0000000
## 1983-1968 -2.429766e+01 -109458.37 109409.77 1.0000000
## 1984-1968 -2.457991e+01 -110121.89 110072.73 1.0000000
## 1985-1968 -2.464985e+01 -110121.96 110072.66 1.0000000
## 1986-1968  3.493250e+04  -73902.91 143767.91 1.0000000
## 1987-1968  2.641884e+04  -82416.57 135254.25 1.0000000
## 1988-1968 -2.403187e+01 -113138.27 113090.20 1.0000000
## 1989-1968 -2.307244e+01 -113137.31 113091.16 1.0000000
## 1990-1968  8.322627e+03  -98041.48 114686.74 1.0000000
## 1991-1968  7.571003e+03  -97698.96 112840.96 1.0000000
## 1992-1968  8.070525e+01 -109046.57 109207.98 1.0000000
## 1993-1968  1.609743e+04  -89457.81 121652.68 1.0000000
## 1994-1968  1.698987e+04  -88144.55 122124.30 1.0000000
## 1995-1968  1.174833e+04  -93386.10 116882.75 1.0000000
## 1996-1968  1.416106e+04  -90973.36 119295.48 1.0000000
## 1997-1968  8.660947e+01 -108748.80 108922.02 1.0000000
## 1998-1968  5.597362e+01 -105078.45 105190.40 1.0000000
## 1999-1968  1.037485e+04  -94759.58 115509.27 1.0000000
## 2000-1968  8.705328e+03  -95385.49 112796.15 1.0000000
## 2001-1968  1.004251e+04  -94150.68 114235.69 1.0000000
## 2002-1968  1.394248e+04  -89766.85 117651.81 1.0000000
## 2003-1968  1.675049e+04  -87442.69 120943.67 1.0000000
## 2004-1968  1.649087e+04  -86288.73 119270.47 1.0000000
## 2005-1968  1.321422e+04  -89311.01 115739.44 1.0000000
## 2006-1968  1.110166e+04  -91814.28 114017.61 1.0000000
## 2007-1968  1.008961e+04  -94001.22 114180.43 1.0000000
## 2008-1968  7.626446e+03  -95432.56 110685.45 1.0000000
## 2009-1968  1.150913e+04  -91270.46 114288.73 1.0000000
## 2010-1968  1.522850e+04  -87551.10 118008.10 1.0000000
## 2011-1968  1.786837e+04  -84911.22 120647.97 1.0000000
## 2012-1968  1.761682e+04  -85230.14 120463.78 1.0000000
## 2013-1968  1.597693e+04  -86102.29 118056.14 1.0000000
## 2014-1968  1.636279e+04  -85986.12 118711.70 1.0000000
## 2015-1968  1.654767e+04  -86231.93 119327.26 1.0000000
## 1970-1969 -6.045827e+00 -118924.73 118912.64 1.0000000
## 1971-1969 -1.036301e+01 -129161.05 129140.32 1.0000000
## 1972-1969 -1.452889e+01 -121115.39 121086.34 1.0000000
## 1973-1969 -1.026810e+01 -127139.69 127119.16 1.0000000
## 1974-1969 -1.180965e+01 -129162.50 129138.88 1.0000000
## 1975-1969 -1.727498e+01 -122383.60 122349.05 1.0000000
## 1976-1969 -2.415443e+01 -117127.18 117078.87 1.0000000
## 1977-1969 -2.551979e+01 -117996.63 117945.59 1.0000000
## 1978-1969 -2.442835e+01 -114277.81 114228.95 1.0000000
## 1979-1969 -2.803696e+01 -115596.23 115540.15 1.0000000
## 1980-1969 -1.593891e+01 -110852.17 110820.29 1.0000000
## 1981-1969 -2.532874e+01 -109782.31 109731.65 1.0000000
## 1982-1969 -2.320357e+01 -110479.72 110433.32 1.0000000
## 1983-1969 -2.392416e+01 -109457.99 109410.14 1.0000000
## 1984-1969 -2.420642e+01 -110121.52 110073.11 1.0000000
## 1985-1969 -2.427635e+01 -110121.59 110073.04 1.0000000
## 1986-1969  3.493288e+04  -73902.53 143768.29 1.0000000
## 1987-1969  2.641921e+04  -82416.20 135254.62 1.0000000
## 1988-1969 -2.365837e+01 -113137.89 113090.58 1.0000000
## 1989-1969 -2.269895e+01 -113136.93 113091.54 1.0000000
## 1990-1969  8.323001e+03  -98041.11 114687.11 1.0000000
## 1991-1969  7.571376e+03  -97698.58 112841.33 1.0000000
## 1992-1969  8.107874e+01 -109046.19 109208.35 1.0000000
## 1993-1969  1.609781e+04  -89457.44 121653.05 1.0000000
## 1994-1969  1.699025e+04  -88144.18 122124.67 1.0000000
## 1995-1969  1.174870e+04  -93385.72 116883.13 1.0000000
## 1996-1969  1.416143e+04  -90972.99 119295.86 1.0000000
## 1997-1969  8.698296e+01 -108748.43 108922.39 1.0000000
## 1998-1969  5.634712e+01 -105078.08 105190.77 1.0000000
## 1999-1969  1.037522e+04  -94759.20 115509.64 1.0000000
## 2000-1969  8.705702e+03  -95385.12 112796.52 1.0000000
## 2001-1969  1.004288e+04  -94150.30 114236.06 1.0000000
## 2002-1969  1.394285e+04  -89766.47 117652.18 1.0000000
## 2003-1969  1.675086e+04  -87442.32 120944.05 1.0000000
## 2004-1969  1.649124e+04  -86288.35 119270.84 1.0000000
## 2005-1969  1.321459e+04  -89310.63 115739.81 1.0000000
## 2006-1969  1.110204e+04  -91813.91 114017.98 1.0000000
## 2007-1969  1.008998e+04  -94000.84 114180.80 1.0000000
## 2008-1969  7.626820e+03  -95432.18 110685.82 1.0000000
## 2009-1969  1.150951e+04  -91270.09 114289.10 1.0000000
## 2010-1969  1.522887e+04  -87550.72 118008.47 1.0000000
## 2011-1969  1.786875e+04  -84910.85 120648.34 1.0000000
## 2012-1969  1.761720e+04  -85229.77 120464.16 1.0000000
## 2013-1969  1.597730e+04  -86101.92 118056.52 1.0000000
## 2014-1969  1.636317e+04  -85985.75 118712.08 1.0000000
## 2015-1969  1.654804e+04  -86231.56 119327.64 1.0000000
## 1971-1970 -4.317183e+00 -109393.60 109384.97 1.0000000
## 1972-1970 -8.483063e+00  -99765.86  99748.90 1.0000000
## 1973-1970 -4.222273e+00 -106999.58 106991.13 1.0000000
## 1974-1970 -5.763822e+00 -109395.05 109383.52 1.0000000
## 1975-1970 -1.122915e+01 -101301.07 101278.61 1.0000000
## 1976-1970 -1.810861e+01  -94882.40  94846.19 1.0000000
## 1977-1970 -1.947396e+01  -95953.30  95914.35 1.0000000
## 1978-1970 -1.838252e+01  -91341.71  91304.94 1.0000000
## 1979-1970 -2.199113e+01  -92985.01  92941.02 1.0000000
## 1980-1970 -9.893084e+00  -87020.15  87000.36 1.0000000
## 1981-1970 -1.928291e+01  -85650.53  85611.96 1.0000000
## 1982-1970 -1.715775e+01  -86543.21  86508.90 1.0000000
## 1983-1970 -1.787834e+01  -85234.84  85199.08 1.0000000
## 1984-1970 -1.816059e+01  -86085.19  86048.87 1.0000000
## 1985-1970 -1.823053e+01  -86085.26  86048.80 1.0000000
## 1986-1970  3.493892e+04  -49507.88 119385.72 0.9999980
## 1987-1970  2.642526e+04  -58021.54 110872.05 1.0000000
## 1988-1970 -1.761255e+01  -89911.69  89876.47 1.0000000
## 1989-1970 -1.665312e+01  -89910.73  89877.43 1.0000000
## 1990-1970  8.329047e+03  -72907.88  89565.98 1.0000000
## 1991-1970  7.577422e+03  -72221.57  87376.42 1.0000000
## 1992-1970  8.712457e+01  -84735.49  84909.74 1.0000000
## 1993-1970  1.610385e+04  -64071.11  96278.82 1.0000000
## 1994-1970  1.699629e+04  -62623.82  96616.41 1.0000000
## 1995-1970  1.175475e+04  -67865.36  91374.86 1.0000000
## 1996-1970  1.416748e+04  -65452.63  93787.59 1.0000000
## 1997-1970  9.302879e+01  -84353.77  84539.83 1.0000000
## 1998-1970  6.239294e+01  -79557.72  79682.51 1.0000000
## 1999-1970  1.038127e+04  -69238.85  90001.38 1.0000000
## 2000-1970  8.711748e+03  -69525.17  86948.66 1.0000000
## 2001-1970  1.004892e+04  -68324.12  88421.97 1.0000000
## 2002-1970  1.394890e+04  -63779.73  91677.53 1.0000000
## 2003-1970  1.675691e+04  -61616.14  95129.96 1.0000000
## 2004-1970  1.649729e+04  -59986.44  92981.02 1.0000000
## 2005-1970  1.322063e+04  -62920.92  89362.19 1.0000000
## 2006-1970  1.110808e+04  -65558.77  87774.94 1.0000000
## 2007-1970  1.009603e+04  -68140.89  88332.94 1.0000000
## 2008-1970  7.632866e+03  -69225.92  84491.65 1.0000000
## 2009-1970  1.151555e+04  -64968.17  87999.28 1.0000000
## 2010-1970  1.523492e+04  -61248.81  91718.65 1.0000000
## 2011-1970  1.787479e+04  -58608.94  94358.52 1.0000000
## 2012-1970  1.762324e+04  -58950.99  94197.47 1.0000000
## 2013-1970  1.598335e+04  -59556.59  91523.28 1.0000000
## 2014-1970  1.636921e+04  -59534.77  92273.19 1.0000000
## 2015-1970  1.655409e+04  -59929.64  93037.81 1.0000000
## 1972-1971 -4.165879e+00 -111761.85 111753.52 1.0000000
## 1973-1971  9.491057e-02 -118263.39 118263.58 1.0000000
## 1974-1971 -1.446639e+00 -120435.08 120432.19 1.0000000
## 1975-1971 -6.911966e+00 -113134.62 113120.79 1.0000000
## 1976-1971 -1.379142e+01 -107426.45 107398.87 1.0000000
## 1977-1971 -1.515678e+01 -108373.56 108343.25 1.0000000
## 1978-1971 -1.406534e+01 -104312.65 104284.52 1.0000000
## 1979-1971 -1.767395e+01 -105754.93 105719.58 1.0000000
## 1980-1971 -5.575901e+00 -100549.25 100538.10 1.0000000
## 1981-1971 -1.496573e+01  -99367.65  99337.72 1.0000000
## 1982-1971 -1.284056e+01 -100137.78 100112.10 1.0000000
## 1983-1971 -1.356115e+01  -99009.40  98982.28 1.0000000
## 1984-1971 -1.384341e+01  -99742.37  99714.68 1.0000000
## 1985-1971 -1.391334e+01  -99742.44  99714.61 1.0000000
## 1986-1971  3.494324e+04  -63390.41 133276.89 1.0000000
## 1987-1971  2.642957e+04  -71904.08 124763.23 1.0000000
## 1988-1971 -1.329536e+01 -103062.75 103036.16 1.0000000
## 1989-1971 -1.233594e+01 -103061.79 103037.12 1.0000000
## 1990-1971  8.333364e+03  -87257.87 103924.60 1.0000000
## 1991-1971  7.581739e+03  -86790.53 101954.01 1.0000000
## 1992-1971  9.144175e+01  -98565.15  98748.03 1.0000000
## 1993-1971  1.610817e+04  -78582.22 110798.56 1.0000000
## 1994-1971  1.700061e+04  -77220.45 111221.67 1.0000000
## 1995-1971  1.175906e+04  -82461.99 105980.12 1.0000000
## 1996-1971  1.417180e+04  -80049.26 108392.86 1.0000000
## 1997-1971  9.734597e+01  -98236.31  98431.00 1.0000000
## 1998-1971  6.671013e+01  -94154.35  94287.77 1.0000000
## 1999-1971  1.038558e+04  -83835.48 104606.64 1.0000000
## 2000-1971  8.716065e+03  -84339.08 101771.21 1.0000000
## 2001-1971  1.005324e+04  -83116.39 103222.87 1.0000000
## 2002-1971  1.395322e+04  -78674.99 106581.43 1.0000000
## 2003-1971  1.676123e+04  -76408.41 109930.86 1.0000000
## 2004-1971  1.650161e+04  -75084.45 108087.67 1.0000000
## 2005-1971  1.322495e+04  -78075.55 104525.46 1.0000000
## 2006-1971  1.111240e+04  -80626.65 102851.45 1.0000000
## 2007-1971  1.010034e+04  -82954.80 103155.49 1.0000000
## 2008-1971  7.637183e+03  -84262.32  99536.69 1.0000000
## 2009-1971  1.151987e+04  -80066.19 103105.93 1.0000000
## 2010-1971  1.523924e+04  -76346.82 106825.30 1.0000000
## 2011-1971  1.787911e+04  -73706.95 109465.17 1.0000000
## 2012-1971  1.762756e+04  -74034.09 109289.21 1.0000000
## 2013-1971  1.598766e+04  -74811.72 106787.04 1.0000000
## 2014-1971  1.637353e+04  -74728.94 107476.00 1.0000000
## 2015-1971  1.655840e+04  -75027.66 108144.46 1.0000000
## 1973-1972  4.260790e+00 -109411.33 109419.85 1.0000000
## 1974-1972  2.719240e+00 -111754.97 111760.40 1.0000000
## 1975-1972 -2.746086e+00 -103845.88 103840.39 1.0000000
## 1976-1972 -9.625543e+00  -97595.48  97576.23 1.0000000
## 1977-1972 -1.099090e+01  -98636.87  98614.89 1.0000000
## 1978-1972 -9.899458e+00  -94157.20  94137.41 1.0000000
## 1979-1972 -1.350807e+01  -95752.15  95725.13 1.0000000
## 1980-1972 -1.410021e+00  -89971.13  89968.31 1.0000000
## 1981-1972 -1.079985e+01  -88647.56  88625.96 1.0000000
## 1982-1972 -8.674685e+00  -89510.20  89492.85 1.0000000
## 1983-1972 -9.395274e+00  -88245.98  88227.19 1.0000000
## 1984-1972 -9.677530e+00  -89067.51  89048.16 1.0000000
## 1985-1972 -9.747464e+00  -89067.58  89048.09 1.0000000
## 1986-1972  3.494740e+04  -52545.60 122440.41 0.9999994
## 1987-1972  2.643374e+04  -61059.27 113926.75 1.0000000
## 1988-1972 -9.129484e+00  -92770.71  92752.45 1.0000000
## 1989-1972 -8.170056e+00  -92769.75  92753.41 1.0000000
## 1990-1972  8.337530e+03  -76061.54  92736.60 1.0000000
## 1991-1972  7.585905e+03  -75430.02  90601.83 1.0000000
## 1992-1972  9.560763e+01  -87760.19  87951.41 1.0000000
## 1993-1972  1.611234e+04  -67265.06  99489.73 1.0000000
## 1994-1972  1.700478e+04  -65839.22  99848.77 1.0000000
## 1995-1972  1.176323e+04  -71080.76  94607.22 1.0000000
## 1996-1972  1.417596e+04  -68668.03  97019.96 1.0000000
## 1997-1972  1.015119e+02  -87391.50  87594.52 1.0000000
## 1998-1972  7.087600e+01  -82773.12  82914.87 1.0000000
## 1999-1972  1.038975e+04  -72454.24  93233.74 1.0000000
## 2000-1972  8.720231e+03  -72795.29  90235.75 1.0000000
## 2001-1972  1.005741e+04  -71588.78  91703.59 1.0000000
## 2002-1972  1.395738e+04  -67070.42  94985.18 1.0000000
## 2003-1972  1.676539e+04  -64880.79  98411.58 1.0000000
## 2004-1972  1.650577e+04  -63328.59  96340.14 1.0000000
## 2005-1972  1.322912e+04  -66277.49  92735.73 1.0000000
## 2006-1972  1.111657e+04  -68893.26  91126.39 1.0000000
## 2007-1972  1.010451e+04  -71411.01  91620.03 1.0000000
## 2008-1972  7.641349e+03  -72552.41  87835.10 1.0000000
## 2009-1972  1.152404e+04  -68310.33  91358.40 1.0000000
## 2010-1972  1.524340e+04  -64590.96  95077.77 1.0000000
## 2011-1972  1.788328e+04  -61951.09  97717.64 1.0000000
## 2012-1972  1.763172e+04  -62289.35  97552.80 1.0000000
## 2013-1972  1.599183e+04  -62938.81  94922.47 1.0000000
## 2014-1972  1.637769e+04  -62901.43  95656.82 1.0000000
## 2015-1972  1.656257e+04  -63271.79  96396.93 1.0000000
## 1974-1973 -1.541550e+00 -118265.03 118261.94 1.0000000
## 1975-1973 -7.006876e+00 -110821.57 110807.56 1.0000000
## 1976-1973 -1.388633e+01 -104987.55 104959.78 1.0000000
## 1977-1973 -1.525169e+01 -105956.44 105925.94 1.0000000
## 1978-1973 -1.416025e+01 -101799.16 101770.84 1.0000000
## 1979-1973 -1.776886e+01 -103276.47 103240.93 1.0000000
## 1980-1973 -5.670811e+00  -97939.43  97928.09 1.0000000
## 1981-1973 -1.506064e+01  -96725.69  96695.57 1.0000000
## 1982-1973 -1.293547e+01  -97516.75  97490.88 1.0000000
## 1983-1973 -1.365606e+01  -96357.66  96330.35 1.0000000
## 1984-1973 -1.393832e+01  -97110.64  97082.76 1.0000000
## 1985-1973 -1.400825e+01  -97110.71  97082.69 1.0000000
## 1986-1973  3.494314e+04  -60720.32 130606.61 1.0000000
## 1987-1973  2.642948e+04  -69233.98 122092.94 1.0000000
## 1988-1973 -1.339027e+01 -100518.03 100491.24 1.0000000
## 1989-1973 -1.243085e+01 -100517.07 100492.20 1.0000000
## 1990-1973  8.333269e+03  -84508.94 101175.47 1.0000000
## 1991-1973  7.581644e+03  -84005.01  99168.30 1.0000000
## 1992-1973  9.134684e+01  -95904.03  96086.73 1.0000000
## 1993-1973  1.610808e+04  -75806.35 108022.50 1.0000000
## 1994-1973  1.700052e+04  -74430.33 108431.36 1.0000000
## 1995-1973  1.175897e+04  -79671.87 103189.81 1.0000000
## 1996-1973  1.417170e+04  -77259.14 105602.54 1.0000000
## 1997-1973  9.725106e+01  -95566.21  95760.71 1.0000000
## 1998-1973  6.661521e+01  -91364.23  91497.46 1.0000000
## 1999-1973  1.038549e+04  -81045.35 101816.33 1.0000000
## 2000-1973  8.715970e+03  -81512.91  98944.85 1.0000000
## 2001-1973  1.005315e+04  -80293.80 100400.09 1.0000000
## 2002-1973  1.395312e+04  -75835.39 103741.63 1.0000000
## 2003-1973  1.676113e+04  -73585.82 107108.08 1.0000000
## 2004-1973  1.650151e+04  -72211.49 105214.51 1.0000000
## 2005-1973  1.322486e+04  -75193.31 101643.03 1.0000000
## 2006-1973  1.111230e+04  -77758.63  99983.24 1.0000000
## 2007-1973  1.010025e+04  -80128.63 100329.13 1.0000000
## 2008-1973  7.637088e+03  -81399.48  96673.65 1.0000000
## 2009-1973  1.151978e+04  -77193.23 100232.78 1.0000000
## 2010-1973  1.523914e+04  -73473.86 103952.15 1.0000000
## 2011-1973  1.787902e+04  -70833.99 106592.02 1.0000000
## 2012-1973  1.762746e+04  -71163.58 106418.51 1.0000000
## 2013-1973  1.598757e+04  -71913.05 103888.18 1.0000000
## 2014-1973  1.637343e+04  -71840.23 104587.10 1.0000000
## 2015-1973  1.655831e+04  -72154.69 105271.31 1.0000000
## 1975-1974 -5.465326e+00 -113133.17 113122.24 1.0000000
## 1976-1974 -1.234478e+01 -107425.01 107400.32 1.0000000
## 1977-1974 -1.371014e+01 -108372.12 108344.70 1.0000000
## 1978-1974 -1.261870e+01 -104311.21 104285.97 1.0000000
## 1979-1974 -1.622731e+01 -105753.49 105721.03 1.0000000
## 1980-1974 -4.129262e+00 -100547.80 100539.54 1.0000000
## 1981-1974 -1.351909e+01  -99366.20  99339.16 1.0000000
## 1982-1974 -1.139392e+01 -100136.34 100113.55 1.0000000
## 1983-1974 -1.211451e+01  -99007.95  98983.73 1.0000000
## 1984-1974 -1.239677e+01  -99740.92  99716.13 1.0000000
## 1985-1974 -1.246670e+01  -99740.99  99716.06 1.0000000
## 1986-1974  3.494469e+04  -63388.97 133278.34 1.0000000
## 1987-1974  2.643102e+04  -71902.63 124764.67 1.0000000
## 1988-1974 -1.184872e+01 -103061.31 103037.61 1.0000000
## 1989-1974 -1.088930e+01 -103060.35 103038.57 1.0000000
## 1990-1974  8.334810e+03  -87256.43 103926.05 1.0000000
## 1991-1974  7.583186e+03  -86789.08 101955.45 1.0000000
## 1992-1974  9.288839e+01  -98563.70  98749.48 1.0000000
## 1993-1974  1.610962e+04  -78580.77 110800.01 1.0000000
## 1994-1974  1.700206e+04  -77219.00 111223.12 1.0000000
## 1995-1974  1.176051e+04  -82460.55 105981.57 1.0000000
## 1996-1974  1.417324e+04  -80047.82 108394.30 1.0000000
## 1997-1974  9.879261e+01  -98234.86  98432.45 1.0000000
## 1998-1974  6.815676e+01  -94152.90  94289.22 1.0000000
## 1999-1974  1.038703e+04  -83834.03 104608.09 1.0000000
## 2000-1974  8.717511e+03  -84337.63 101772.66 1.0000000
## 2001-1974  1.005469e+04  -83114.94 103224.32 1.0000000
## 2002-1974  1.395466e+04  -78673.55 106582.87 1.0000000
## 2003-1974  1.676267e+04  -76406.96 109932.30 1.0000000
## 2004-1974  1.650305e+04  -75083.01 108089.11 1.0000000
## 2005-1974  1.322640e+04  -78074.11 104526.90 1.0000000
## 2006-1974  1.111385e+04  -80625.20 102852.89 1.0000000
## 2007-1974  1.010179e+04  -82953.36 103156.94 1.0000000
## 2008-1974  7.638630e+03  -84260.88  99538.13 1.0000000
## 2009-1974  1.152132e+04  -80064.74 103107.38 1.0000000
## 2010-1974  1.524068e+04  -76345.38 106826.74 1.0000000
## 2011-1974  1.788056e+04  -73705.50 109466.62 1.0000000
## 2012-1974  1.762901e+04  -74032.65 109290.66 1.0000000
## 2013-1974  1.598911e+04  -74810.27 106788.49 1.0000000
## 2014-1974  1.637497e+04  -74727.50 107477.45 1.0000000
## 2015-1974  1.655985e+04  -75026.21 108145.91 1.0000000
## 1976-1975 -6.879456e+00  -99158.77  99145.01 1.0000000
## 1977-1975 -8.244813e+00 -100183.89 100167.41 1.0000000
## 1978-1975 -7.153372e+00  -95776.73  95762.42 1.0000000
## 1979-1975 -1.076198e+01  -97345.16  97323.63 1.0000000
## 1980-1975  1.336065e+00  -91664.62  91667.29 1.0000000
## 1981-1975 -8.053760e+00  -90366.07  90349.97 1.0000000
## 1982-1975 -5.928598e+00  -91212.40  91200.54 1.0000000
## 1983-1975 -6.649188e+00  -89972.16  89958.86 1.0000000
## 1984-1975 -6.931444e+00  -90778.05  90764.18 1.0000000
## 1985-1975 -7.001378e+00  -90778.12  90764.11 1.0000000
## 1986-1975  3.495015e+04  -54286.18 124186.49 0.9999997
## 1987-1975  2.643649e+04  -62799.85 115672.82 1.0000000
## 1988-1975 -6.383397e+00  -94414.05  94401.28 1.0000000
## 1989-1975 -5.423970e+00  -94413.09  94402.24 1.0000000
## 1990-1975  8.340276e+03  -77864.72  94545.27 1.0000000
## 1991-1975  7.588651e+03  -77262.64  92439.94 1.0000000
## 1992-1975  9.835372e+01  -89493.72  89690.42 1.0000000
## 1993-1975  1.611508e+04  -69089.89 101320.05 1.0000000
## 1994-1975  1.700752e+04  -67675.56 101690.60 1.0000000
## 1995-1975  1.176598e+04  -72917.10  96449.06 1.0000000
## 1996-1975  1.417871e+04  -70504.37  98861.79 1.0000000
## 1997-1975  1.042579e+02  -89132.08  89340.59 1.0000000
## 1998-1975  7.362209e+01  -84609.46  84756.70 1.0000000
## 1999-1975  1.039250e+04  -74290.59  95075.58 1.0000000
## 2000-1975  8.722977e+03  -74660.93  92106.89 1.0000000
## 2001-1975  1.006015e+04  -73451.50  93571.81 1.0000000
## 2002-1975  1.396013e+04  -68947.06  96867.32 1.0000000
## 2003-1975  1.676814e+04  -66743.52 100279.79 1.0000000
## 2004-1975  1.650852e+04  -65232.67  98249.71 1.0000000
## 2005-1975  1.323186e+04  -68189.25  94652.98 1.0000000
## 2006-1975  1.111931e+04  -70793.26  93031.88 1.0000000
## 2007-1975  1.010726e+04  -73276.66  93491.17 1.0000000
## 2008-1975  7.644095e+03  -74448.14  89736.33 1.0000000
## 2009-1975  1.152678e+04  -70214.41  93267.98 1.0000000
## 2010-1975  1.524615e+04  -66495.04  96987.34 1.0000000
## 2011-1975  1.788602e+04  -63855.17  99627.22 1.0000000
## 2012-1975  1.763447e+04  -64191.41  99460.35 1.0000000
## 2013-1975  1.599458e+04  -64864.21  96853.36 1.0000000
## 2014-1975  1.638044e+04  -64818.55  97579.43 1.0000000
## 2015-1975  1.656532e+04  -65175.88  98306.51 1.0000000
## 1977-1976 -1.365357e+00  -93675.08  93672.34 1.0000000
## 1978-1976 -2.739157e-01  -88946.41  88945.86 1.0000000
## 1979-1976 -3.882528e+00  -90632.73  90624.96 1.0000000
## 1980-1976  8.215521e+00  -84503.62  84520.05 1.0000000
## 1981-1976 -1.174304e+00  -83092.54  83090.19 1.0000000
## 1982-1976  9.508580e-01  -84012.28  84014.18 1.0000000
## 1983-1976  2.302683e-01  -82664.12  82664.59 1.0000000
## 1984-1976 -5.198756e-02  -83540.45  83540.35 1.0000000
## 1985-1976 -1.219215e-01  -83540.52  83540.28 1.0000000
## 1986-1976  3.495703e+04  -46913.15 116827.21 0.9999946
## 1987-1976  2.644337e+04  -55426.82 108313.55 1.0000000
## 1988-1976  4.960587e-01  -87477.56  87478.55 1.0000000
## 1989-1976  1.455486e+00  -87476.60  87479.51 1.0000000
## 1990-1976  8.347155e+03  -70207.94  86902.26 1.0000000
## 1991-1976  7.595531e+03  -69471.61  84662.67 1.0000000
## 1992-1976  1.052332e+02  -82152.54  82363.01 1.0000000
## 1993-1976  1.612196e+04  -61334.41  93578.34 1.0000000
## 1994-1976  1.701440e+04  -59867.50  93896.31 1.0000000
## 1995-1976  1.177286e+04  -65109.05  88654.76 1.0000000
## 1996-1976  1.418559e+04  -62696.32  91067.49 1.0000000
## 1997-1976  1.111374e+02  -81759.04  81981.32 1.0000000
## 1998-1976  8.050155e+01  -76801.40  76962.41 1.0000000
## 1999-1976  1.039938e+04  -66482.53  87281.28 1.0000000
## 2000-1976  8.729856e+03  -66718.67  84178.38 1.0000000
## 2001-1976  1.006703e+04  -65522.65  85656.71 1.0000000
## 2002-1976  1.396701e+04  -60954.32  88888.33 1.0000000
## 2003-1976  1.677502e+04  -58814.66  92364.70 1.0000000
## 2004-1976  1.651540e+04  -57113.58  90144.37 1.0000000
## 2005-1976  1.323874e+04  -60034.73  86512.21 1.0000000
## 2006-1976  1.112619e+04  -62692.99  84945.38 1.0000000
## 2007-1976  1.011413e+04  -65334.39  85562.66 1.0000000
## 2008-1976  7.650974e+03  -66367.53  81669.47 1.0000000
## 2009-1976  1.153366e+04  -62095.31  85162.64 1.0000000
## 2010-1976  1.525303e+04  -58375.94  88882.00 1.0000000
## 2011-1976  1.789290e+04  -55736.07  91521.87 1.0000000
## 2012-1976  1.764135e+04  -56081.63  91364.33 1.0000000
## 2013-1976  1.600145e+04  -56646.65  88649.56 1.0000000
## 2014-1976  1.638732e+04  -56639.25  89413.89 1.0000000
## 2015-1976  1.657220e+04  -57056.78  90201.17 1.0000000
## 1978-1977  1.091441e+00  -90084.86  90087.05 1.0000000
## 1979-1977 -2.517171e+00  -91750.28  91745.24 1.0000000
## 1980-1977  9.580878e+00  -85701.06  85720.22 1.0000000
## 1981-1977  1.910531e-01  -84310.18  84310.56 1.0000000
## 1982-1977  2.316215e+00  -85216.74  85221.37 1.0000000
## 1983-1977  1.595625e+00  -83887.97  83891.17 1.0000000
## 1984-1977  1.313369e+00  -84751.64  84754.26 1.0000000
## 1985-1977  1.243436e+00  -84751.71  84754.19 1.0000000
## 1986-1977  3.495840e+04  -48148.71 118065.50 0.9999966
## 1987-1977  2.644473e+04  -56662.37 109551.84 1.0000000
## 1988-1977  1.861416e+00  -88634.90  88638.62 1.0000000
## 1989-1977  2.820843e+00  -88633.94  88639.58 1.0000000
## 1990-1977  8.348521e+03  -71494.88  88191.92 1.0000000
## 1991-1977  7.596896e+03  -70783.00  85976.80 1.0000000
## 1992-1977  1.065985e+02  -83382.36  83595.56 1.0000000
## 1993-1977  1.612333e+04  -62639.32  94885.97 1.0000000
## 1994-1977  1.701577e+04  -61182.01  95213.54 1.0000000
## 1995-1977  1.177422e+04  -66423.55  89971.99 1.0000000
## 1996-1977  1.418695e+04  -64010.82  92384.73 1.0000000
## 1997-1977  1.125028e+02  -82994.60  83219.61 1.0000000
## 1998-1977  8.186690e+01  -78115.91  78279.64 1.0000000
## 1999-1977  1.040074e+04  -67797.03  88598.51 1.0000000
## 2000-1977  8.731222e+03  -68057.74  85520.18 1.0000000
## 2001-1977  1.006840e+04  -66859.26  86996.05 1.0000000
## 2002-1977  1.396837e+04  -62302.65  90239.40 1.0000000
## 2003-1977  1.677638e+04  -60151.27  93704.04 1.0000000
## 2004-1977  1.651676e+04  -58485.17  91518.70 1.0000000
## 2005-1977  1.324011e+04  -61412.86  87893.08 1.0000000
## 2006-1977  1.112756e+04  -64061.11  86316.23 1.0000000
## 2007-1977  1.011550e+04  -66673.46  86904.46 1.0000000
## 2008-1977  7.652340e+03  -67732.03  83036.71 1.0000000
## 2009-1977  1.153503e+04  -63466.90  86536.96 1.0000000
## 2010-1977  1.525439e+04  -59747.54  90256.33 1.0000000
## 2011-1977  1.789427e+04  -57107.67  92896.20 1.0000000
## 2012-1977  1.764272e+04  -57451.51  92736.94 1.0000000
## 2013-1977  1.600282e+04  -58036.43  90042.07 1.0000000
## 2014-1977  1.638868e+04  -58021.96  90799.33 1.0000000
## 2015-1977  1.657356e+04  -58428.37  91575.49 1.0000000
## 1979-1978 -3.608612e+00  -86919.10  86911.88 1.0000000
## 1980-1978  8.489437e+00  -80508.37  80525.35 1.0000000
## 1981-1978 -9.003882e-01  -79025.52  79023.72 1.0000000
## 1982-1978  1.224774e+00  -79992.14  79994.59 1.0000000
## 1983-1978  5.041840e-01  -78575.01  78576.02 1.0000000
## 1984-1978  2.219282e-01  -79496.40  79496.85 1.0000000
## 1985-1978  1.519942e-01  -79496.47  79496.78 1.0000000
## 1986-1978  3.495730e+04  -42782.27 112696.88 0.9999737
## 1987-1978  2.644364e+04  -51295.94 104183.22 1.0000000
## 1988-1978  7.699745e-01  -83624.14  83625.68 1.0000000
## 1989-1978  1.729402e+00  -83623.18  83626.64 1.0000000
## 1990-1978  8.347429e+03  -65892.85  82587.71 1.0000000
## 1991-1978  7.595804e+03  -65068.22  80259.82 1.0000000
## 1992-1978  1.055071e+02  -78042.16  78253.17 1.0000000
## 1993-1978  1.612224e+04  -56954.47  89198.94 1.0000000
## 1994-1978  1.701468e+04  -55452.85  89482.20 1.0000000
## 1995-1978  1.177313e+04  -60694.40  84240.66 1.0000000
## 1996-1978  1.418586e+04  -58281.67  86653.39 1.0000000
## 1997-1978  1.114113e+02  -77628.17  77850.99 1.0000000
## 1998-1978  8.077546e+01  -72386.75  72548.30 1.0000000
## 1999-1978  1.039965e+04  -62067.88  82867.18 1.0000000
## 2000-1978  8.730130e+03  -62214.88  79675.14 1.0000000
## 2001-1978  1.006731e+04  -61027.81  81162.42 1.0000000
## 2002-1978  1.396728e+04  -56416.81  84351.37 1.0000000
## 2003-1978  1.677529e+04  -54319.82  87870.40 1.0000000
## 2004-1978  1.651567e+04  -52491.15  85522.49 1.0000000
## 2005-1978  1.323902e+04  -55388.36  81866.39 1.0000000
## 2006-1978  1.112646e+04  -58083.27  80336.20 1.0000000
## 2007-1978  1.011441e+04  -60830.61  81059.42 1.0000000
## 2008-1978  7.651248e+03  -61771.04  77073.53 1.0000000
## 2009-1978  1.153394e+04  -57472.88  80540.76 1.0000000
## 2010-1978  1.525330e+04  -53753.52  84260.12 1.0000000
## 2011-1978  1.789318e+04  -51113.64  86899.99 1.0000000
## 2012-1978  1.764162e+04  -51465.49  86748.74 1.0000000
## 2013-1978  1.600173e+04  -51957.54  83961.00 1.0000000
## 2014-1978  1.638759e+04  -51976.10  84751.29 1.0000000
## 2015-1978  1.657247e+04  -52434.35  85579.29 1.0000000
## 1980-1979  1.209805e+01  -82359.85  82384.04 1.0000000
## 1981-1979  2.708224e+00  -80911.21  80916.63 1.0000000
## 1982-1979  4.833386e+00  -81855.48  81865.15 1.0000000
## 1983-1979  4.112796e+00  -80471.24  80479.47 1.0000000
## 1984-1979  3.830540e+00  -81371.14  81378.80 1.0000000
## 1985-1979  3.760606e+00  -81371.21  81378.73 1.0000000
## 1986-1979  3.496091e+04  -44698.45 114620.28 0.9999873
## 1987-1979  2.644725e+04  -53212.11 106106.61 1.0000000
## 1988-1979  4.378586e+00  -85408.14  85416.89 1.0000000
## 1989-1979  5.338014e+00  -85407.18  85417.85 1.0000000
## 1990-1979  8.351038e+03  -67897.18  84599.26 1.0000000
## 1991-1979  7.599413e+03  -67114.92  82313.75 1.0000000
## 1992-1979  1.091157e+02  -79948.55  80166.78 1.0000000
## 1993-1979  1.612585e+04  -58989.91  91241.60 1.0000000
## 1994-1979  1.701828e+04  -57504.97  91541.53 1.0000000
## 1995-1979  1.177674e+04  -62746.51  86299.99 1.0000000
## 1996-1979  1.418947e+04  -60333.78  88712.72 1.0000000
## 1997-1979  1.150199e+02  -79544.34  79774.38 1.0000000
## 1998-1979  8.438407e+01  -74438.87  74607.63 1.0000000
## 1999-1979  1.040326e+04  -64119.99  84926.51 1.0000000
## 2000-1979  8.733739e+03  -64309.86  81777.34 1.0000000
## 2001-1979  1.007092e+04  -63118.48  83260.31 1.0000000
## 2002-1979  1.397089e+04  -58528.02  86469.80 1.0000000
## 2003-1979  1.677890e+04  -56410.49  89968.29 1.0000000
## 2004-1979  1.651928e+04  -54643.30  87681.86 1.0000000
## 2005-1979  1.324263e+04  -57552.07  84037.32 1.0000000
## 2006-1979  1.113007e+04  -60229.30  82489.44 1.0000000
## 2007-1979  1.011802e+04  -62925.58  83161.61 1.0000000
## 2008-1979  7.654857e+03  -63910.68  79220.39 1.0000000
## 2009-1979  1.153755e+04  -59625.04  82700.13 1.0000000
## 2010-1979  1.525691e+04  -55905.67  86419.49 1.0000000
## 2011-1979  1.789678e+04  -53265.80  89059.37 1.0000000
## 2012-1979  1.764523e+04  -53614.61  88905.08 1.0000000
## 2013-1979  1.600534e+04  -54141.89  86152.57 1.0000000
## 2014-1979  1.639120e+04  -54147.92  86930.32 1.0000000
## 2015-1979  1.657608e+04  -54586.51  87738.66 1.0000000
## 1981-1980 -9.389825e+00  -74007.53  73988.75 1.0000000
## 1982-1980 -7.264663e+00  -75039.08  75024.55 1.0000000
## 1983-1980 -7.985253e+00  -73526.32  73510.35 1.0000000
## 1984-1980 -8.267509e+00  -74510.27  74493.73 1.0000000
## 1985-1980 -8.337443e+00  -74510.34  74493.66 1.0000000
## 1986-1980  3.494881e+04  -37675.40 107573.03 0.9998227
## 1987-1980  2.643515e+04  -46189.07  99059.37 1.0000000
## 1988-1980 -7.719462e+00  -78899.80  78884.36 1.0000000
## 1989-1980 -6.760035e+00  -78898.84  78885.32 1.0000000
## 1990-1980  8.338940e+03  -60526.54  77204.42 1.0000000
## 1991-1980  7.587315e+03  -59575.88  74750.51 1.0000000
## 1992-1980  9.701766e+01  -72963.86  73157.90 1.0000000
## 1993-1980  1.611375e+04  -51495.72  83723.21 1.0000000
## 1994-1980  1.700619e+04  -49944.37  83956.75 1.0000000
## 1995-1980  1.176464e+04  -55185.92  78715.20 1.0000000
## 1996-1980  1.417737e+04  -52773.19  81127.93 1.0000000
## 1997-1980  1.029219e+02  -72521.29  72727.14 1.0000000
## 1998-1980  7.228603e+01  -66878.27  67022.85 1.0000000
## 1999-1980  1.039116e+04  -56559.40  77341.72 1.0000000
## 2000-1980  8.721641e+03  -56577.90  74021.18 1.0000000
## 2001-1980  1.005882e+04  -55403.77  75521.40 1.0000000
## 2002-1980  1.395879e+04  -50730.89  78648.47 1.0000000
## 2003-1980  1.676680e+04  -48695.78  82229.39 1.0000000
## 2004-1980  1.650718e+04  -46681.23  79695.60 1.0000000
## 2005-1980  1.323053e+04  -49543.28  76004.34 1.0000000
## 2006-1980  1.111798e+04  -52291.98  74527.93 1.0000000
## 2007-1980  1.010592e+04  -55193.62  75405.46 1.0000000
## 2008-1980  7.642759e+03  -55999.12  71284.64 1.0000000
## 2009-1980  1.152545e+04  -51662.97  74713.86 1.0000000
## 2010-1980  1.524481e+04  -47943.60  78433.23 1.0000000
## 2011-1980  1.788469e+04  -45303.73  81073.10 1.0000000
## 2012-1980  1.763313e+04  -45664.79  80931.06 1.0000000
## 2013-1980  1.599324e+04  -46049.46  78035.94 1.0000000
## 2014-1980  1.637910e+04  -46106.33  78864.54 1.0000000
## 2015-1980  1.656398e+04  -46624.43  79752.39 1.0000000
## 1982-1981  2.125162e+00  -73426.06  73430.31 1.0000000
## 1983-1981  1.404572e+00  -71879.54  71882.35 1.0000000
## 1984-1981  1.122316e+00  -72885.59  72887.84 1.0000000
## 1985-1981  1.052382e+00  -72885.66  72887.77 1.0000000
## 1986-1981  3.495820e+04  -36008.00 105924.41 0.9996723
## 1987-1981  2.644454e+04  -44521.66  97410.74 0.9999999
## 1988-1981  1.670363e+00  -77366.83  77370.17 1.0000000
## 1989-1981  2.629790e+00  -77365.87  77371.13 1.0000000
## 1990-1981  8.348330e+03  -58766.34  75463.00 1.0000000
## 1991-1981  7.596705e+03  -57770.10  72963.51 1.0000000
## 1992-1981  1.064075e+02  -71306.59  71519.41 1.0000000
## 1993-1981  1.612314e+04  -49702.12  81948.40 1.0000000
## 1994-1981  1.701558e+04  -48132.74  82163.89 1.0000000
## 1995-1981  1.177403e+04  -53374.28  76922.34 1.0000000
## 1996-1981  1.418676e+04  -50961.55  79335.07 1.0000000
## 1997-1981  1.123117e+02  -70853.89  71078.51 1.0000000
## 1998-1981  8.167585e+01  -65066.63  65229.99 1.0000000
## 1999-1981  1.040055e+04  -54747.76  75548.86 1.0000000
## 2000-1981  8.731030e+03  -54719.38  72181.44 1.0000000
## 2001-1981  1.006821e+04  -53549.99  73686.40 1.0000000
## 2002-1981  1.396818e+04  -48854.42  76790.79 1.0000000
## 2003-1981  1.677619e+04  -46842.00  80394.39 1.0000000
## 2004-1981  1.651657e+04  -44759.04  77792.18 1.0000000
## 2005-1981  1.323992e+04  -47608.06  74087.90 1.0000000
## 2006-1981  1.112737e+04  -50376.68  72631.41 1.0000000
## 2007-1981  1.011531e+04  -53335.10  73565.72 1.0000000
## 2008-1981  7.652149e+03  -54090.98  69395.27 1.0000000
## 2009-1981  1.153484e+04  -49740.78  72810.45 1.0000000
## 2010-1981  1.525420e+04  -46021.41  76529.82 1.0000000
## 2011-1981  1.789408e+04  -43381.54  79169.69 1.0000000
## 2012-1981  1.764252e+04  -43746.02  79031.06 1.0000000
## 2013-1981  1.600263e+04  -44090.81  76096.07 1.0000000
## 2014-1981  1.638849e+04  -44161.94  76938.93 1.0000000
## 2015-1981  1.657337e+04  -44702.24  77848.98 1.0000000
## 1983-1982 -7.205898e-01  -72945.35  72943.91 1.0000000
## 1984-1982 -1.002846e+00  -73936.93  73934.93 1.0000000
## 1985-1982 -1.072780e+00  -73937.00  73934.86 1.0000000
## 1986-1982  3.495608e+04  -37087.31 106999.47 0.9997792
## 1987-1982  2.644241e+04  -45600.98  98485.81 1.0000000
## 1988-1982 -4.547993e-01  -78358.19  78357.28 1.0000000
## 1989-1982  5.046284e-01  -78357.23  78358.24 1.0000000
## 1990-1982  8.346204e+03  -59906.47  76598.88 1.0000000
## 1991-1982  7.594580e+03  -58940.13  74129.29 1.0000000
## 1992-1982  1.042823e+02  -72379.27  72587.83 1.0000000
## 1993-1982  1.612101e+04  -50864.16  83106.18 1.0000000
## 1994-1982  1.701345e+04  -49306.61  83333.51 1.0000000
## 1995-1982  1.177191e+04  -54548.16  78091.97 1.0000000
## 1996-1982  1.418464e+04  -52135.43  80504.70 1.0000000
## 1997-1982  1.101865e+02  -71933.20  72153.58 1.0000000
## 1998-1982  7.955069e+01  -66240.51  66399.61 1.0000000
## 1999-1982  1.039842e+04  -55921.64  76718.49 1.0000000
## 2000-1982  8.728905e+03  -55924.04  73381.85 1.0000000
## 2001-1982  1.006608e+04  -54751.53  74883.70 1.0000000
## 2002-1982  1.396606e+04  -50070.87  78002.99 1.0000000
## 2003-1982  1.677407e+04  -48043.55  81591.68 1.0000000
## 2004-1982  1.651445e+04  -46005.54  79034.44 1.0000000
## 2005-1982  1.323779e+04  -48863.13  75338.72 1.0000000
## 2006-1982  1.112524e+04  -51618.65  73869.13 1.0000000
## 2007-1982  1.011318e+04  -54539.76  74766.13 1.0000000
## 2008-1982  7.650024e+03  -55328.24  70628.29 1.0000000
## 2009-1982  1.153271e+04  -50987.28  74052.70 1.0000000
## 2010-1982  1.525208e+04  -47267.91  77772.07 1.0000000
## 2011-1982  1.789195e+04  -44628.04  80411.94 1.0000000
## 2012-1982  1.764040e+04  -44990.28  80271.07 1.0000000
## 2013-1982  1.600050e+04  -45361.29  77362.30 1.0000000
## 2014-1982  1.638637e+04  -45423.04  78195.78 1.0000000
## 2015-1982  1.657124e+04  -45948.75  79091.24 1.0000000
## 1984-1983 -2.822558e-01  -72399.83  72399.26 1.0000000
## 1985-1983 -3.521898e-01  -72399.90  72399.19 1.0000000
## 1986-1983  3.495680e+04  -35508.95 105422.56 0.9996075
## 1987-1983  2.644314e+04  -44022.62  96908.89 0.9999999
## 1988-1983  2.657905e-01  -76909.46  76909.99 1.0000000
## 1989-1983  1.225218e+00  -76908.50  76910.95 1.0000000
## 1990-1983  8.346925e+03  -58238.36  74932.21 1.0000000
## 1991-1983  7.595300e+03  -57227.85  72418.45 1.0000000
## 1992-1983  1.050029e+02  -70810.71  71020.71 1.0000000
## 1993-1983  1.612173e+04  -49163.68  81407.15 1.0000000
## 1994-1983  1.701417e+04  -47588.64  81616.98 1.0000000
## 1995-1983  1.177263e+04  -52830.19  76375.44 1.0000000
## 1996-1983  1.418536e+04  -50417.45  78788.17 1.0000000
## 1997-1983  1.109071e+02  -70354.85  70576.66 1.0000000
## 1998-1983  8.027128e+01  -64522.54  64683.08 1.0000000
## 1999-1983  1.039914e+04  -54203.67  75001.96 1.0000000
## 2000-1983  8.729626e+03  -54160.56  71619.81 1.0000000
## 2001-1983  1.006680e+04  -52992.66  73126.26 1.0000000
## 2002-1983  1.396678e+04  -48289.95  76223.51 1.0000000
## 2003-1983  1.677479e+04  -46284.67  79834.25 1.0000000
## 2004-1983  1.651517e+04  -44180.15  77210.49 1.0000000
## 2005-1983  1.323851e+04  -47025.05  73502.08 1.0000000
## 2006-1983  1.112596e+04  -49799.96  72051.88 1.0000000
## 2007-1983  1.011390e+04  -52776.28  73004.09 1.0000000
## 2008-1983  7.650744e+03  -53516.52  68818.01 1.0000000
## 2009-1983  1.153343e+04  -49161.89  72228.75 1.0000000
## 2010-1983  1.525280e+04  -45442.52  75948.12 1.0000000
## 2011-1983  1.789267e+04  -42802.65  78587.99 1.0000000
## 2012-1983  1.764112e+04  -43168.20  78450.44 1.0000000
## 2013-1983  1.600122e+04  -43500.39  75502.84 1.0000000
## 2014-1983  1.638709e+04  -43576.03  76350.21 1.0000000
## 2015-1983  1.657196e+04  -44123.35  77267.28 1.0000000
## 1985-1984 -6.993394e-02  -73398.28  73398.14 1.0000000
## 1986-1984  3.495708e+04  -36534.35 106448.52 0.9997296
## 1987-1984  2.644342e+04  -45048.02  97934.85 1.0000000
## 1988-1984  5.480463e-01  -77850.01  77851.10 1.0000000
## 1989-1984  1.507474e+00  -77849.05  77852.06 1.0000000
## 1990-1984  8.347207e+03  -59322.60  76017.01 1.0000000
## 1991-1984  7.595583e+03  -58341.08  73532.24 1.0000000
## 1992-1984  1.052852e+02  -71829.69  72040.26 1.0000000
## 1993-1984  1.612201e+04  -50269.16  82513.19 1.0000000
## 1994-1984  1.701445e+04  -48705.60  82734.51 1.0000000
## 1995-1984  1.177291e+04  -53947.15  77492.97 1.0000000
## 1996-1984  1.418564e+04  -51534.42  79905.70 1.0000000
## 1997-1984  1.111894e+02  -71380.25  71602.62 1.0000000
## 1998-1984  8.055353e+01  -65639.50  65800.61 1.0000000
## 1999-1984  1.039943e+04  -55320.63  76119.48 1.0000000
## 2000-1984  8.729908e+03  -55307.41  72767.23 1.0000000
## 2001-1984  1.006709e+04  -54136.48  74270.65 1.0000000
## 2002-1984  1.396706e+04  -49448.26  77382.38 1.0000000
## 2003-1984  1.677507e+04  -47428.50  80978.64 1.0000000
## 2004-1984  1.651545e+04  -45367.70  78398.60 1.0000000
## 2005-1984  1.323880e+04  -48220.95  74698.54 1.0000000
## 2006-1984  1.112624e+04  -50983.10  73235.59 1.0000000
## 2007-1984  1.011419e+04  -53923.13  74151.51 1.0000000
## 2008-1984  7.651026e+03  -54695.08  69997.13 1.0000000
## 2009-1984  1.153371e+04  -50349.44  73416.87 1.0000000
## 2010-1984  1.525308e+04  -46630.07  77136.23 1.0000000
## 2011-1984  1.789295e+04  -43990.20  79776.10 1.0000000
## 2012-1984  1.764140e+04  -44353.57  79636.37 1.0000000
## 2013-1984  1.600151e+04  -44711.30  76714.32 1.0000000
## 2014-1984  1.638737e+04  -44777.80  77552.54 1.0000000
## 2015-1984  1.657225e+04  -45310.90  78455.40 1.0000000
## 1986-1985  3.495715e+04  -36534.28 106448.59 0.9997296
## 1987-1985  2.644349e+04  -45047.95  97934.92 1.0000000
## 1988-1985  6.179802e-01  -77849.94  77851.17 1.0000000
## 1989-1985  1.577408e+00  -77848.98  77852.13 1.0000000
## 1990-1985  8.347277e+03  -59322.53  76017.08 1.0000000
## 1991-1985  7.595652e+03  -58341.01  73532.31 1.0000000
## 1992-1985  1.053551e+02  -71829.62  72040.33 1.0000000
## 1993-1985  1.612208e+04  -50269.09  82513.26 1.0000000
## 1994-1985  1.701452e+04  -48705.53  82734.58 1.0000000
## 1995-1985  1.177298e+04  -53947.08  77493.04 1.0000000
## 1996-1985  1.418571e+04  -51534.35  79905.77 1.0000000
## 1997-1985  1.112593e+02  -71380.18  71602.69 1.0000000
## 1998-1985  8.062347e+01  -65639.43  65800.68 1.0000000
## 1999-1985  1.039950e+04  -55320.56  76119.55 1.0000000
## 2000-1985  8.729978e+03  -55307.34  72767.30 1.0000000
## 2001-1985  1.006715e+04  -54136.41  74270.72 1.0000000
## 2002-1985  1.396713e+04  -49448.19  77382.45 1.0000000
## 2003-1985  1.677514e+04  -47428.43  80978.71 1.0000000
## 2004-1985  1.651552e+04  -45367.63  78398.67 1.0000000
## 2005-1985  1.323887e+04  -48220.88  74698.61 1.0000000
## 2006-1985  1.112631e+04  -50983.03  73235.66 1.0000000
## 2007-1985  1.011426e+04  -53923.06  74151.58 1.0000000
## 2008-1985  7.651096e+03  -54695.01  69997.20 1.0000000
## 2009-1985  1.153378e+04  -50349.37  73416.94 1.0000000
## 2010-1985  1.525315e+04  -46630.00  77136.30 1.0000000
## 2011-1985  1.789302e+04  -43990.13  79776.17 1.0000000
## 2012-1985  1.764147e+04  -44353.50  79636.44 1.0000000
## 2013-1985  1.600158e+04  -44711.23  76714.39 1.0000000
## 2014-1985  1.638744e+04  -44777.73  77552.61 1.0000000
## 2015-1985  1.657232e+04  -45310.83  78455.47 1.0000000
## 1987-1986 -8.513665e+03  -78046.06  61018.73 1.0000000
## 1988-1986 -3.495653e+04 -111012.02  41098.95 0.9999504
## 1989-1986 -3.495557e+04 -111011.06  41099.91 0.9999504
## 1990-1986 -2.660988e+04  -92206.60  38986.85 0.9999990
## 1991-1986 -2.736150e+04  -91168.80  36445.80 0.9999938
## 1992-1986 -3.485180e+04 -104840.14  35136.55 0.9995678
## 1993-1986 -1.883507e+04  -83111.94  45441.81 1.0000000
## 1994-1986 -1.794263e+04  -81526.07  45640.81 1.0000000
## 1995-1986 -2.318417e+04  -86767.62  40399.27 1.0000000
## 1996-1986 -2.077144e+04  -84354.89  42812.00 1.0000000
## 1997-1986 -3.484589e+04 -104378.29  34686.50 0.9994925
## 1998-1986 -3.487653e+04  -98459.97  28706.91 0.9959082
## 1999-1986 -2.455766e+04  -88141.10  39025.79 0.9999998
## 2000-1986 -2.622717e+04  -88069.77  35615.42 0.9999956
## 2001-1986 -2.489000e+04  -86904.73  37124.73 0.9999993
## 2002-1986 -2.099002e+04  -82188.32  40208.28 1.0000000
## 2003-1986 -1.818201e+04  -80196.74  43832.72 1.0000000
## 2004-1986 -1.844163e+04  -78050.80  41167.53 1.0000000
## 2005-1986 -2.171829e+04  -80887.78  37451.20 1.0000000
## 2006-1986 -2.383084e+04  -83674.79  36013.12 0.9999994
## 2007-1986 -2.484290e+04  -86685.49  36999.70 0.9999993
## 2008-1986 -2.730606e+04  -87395.70  32783.59 0.9999643
## 2009-1986 -2.342337e+04  -83032.53  36185.80 0.9999997
## 2010-1986 -1.970400e+04  -79313.17  39905.16 1.0000000
## 2011-1986 -1.706413e+04  -76673.29  42545.04 1.0000000
## 2012-1986 -1.731568e+04  -77040.92  42409.56 1.0000000
## 2013-1986 -1.895558e+04  -77348.84  39437.69 1.0000000
## 2014-1986 -1.856971e+04  -77433.17  40293.75 1.0000000
## 2015-1986 -1.838484e+04  -77994.00  41224.33 1.0000000
## 1988-1987 -2.644287e+04 -102498.36  49612.62 1.0000000
## 1989-1987 -2.644191e+04 -102497.40  49613.58 1.0000000
## 1990-1987 -1.809621e+04  -83692.94  47500.52 1.0000000
## 1991-1987 -1.884784e+04  -82655.13  44959.46 1.0000000
## 1992-1987 -2.633813e+04  -96326.48  43650.22 0.9999999
## 1993-1987 -1.032140e+04  -74598.28  53955.47 1.0000000
## 1994-1987 -9.428964e+03  -73012.41  54154.48 1.0000000
## 1995-1987 -1.467051e+04  -78253.95  48912.93 1.0000000
## 1996-1987 -1.225778e+04  -75841.22  51325.67 1.0000000
## 1997-1987 -2.633223e+04  -95864.62  43200.16 0.9999999
## 1998-1987 -2.636286e+04  -89946.31  37220.58 0.9999979
## 1999-1987 -1.604399e+04  -79627.43  47539.45 1.0000000
## 2000-1987 -1.771351e+04  -79556.10  44129.09 1.0000000
## 2001-1987 -1.637633e+04  -78391.06  45638.40 1.0000000
## 2002-1987 -1.247636e+04  -73674.66  48721.94 1.0000000
## 2003-1987 -9.668348e+03  -71683.08  52346.38 1.0000000
## 2004-1987 -9.927968e+03  -69537.13  49681.20 1.0000000
## 2005-1987 -1.320462e+04  -72374.11  45964.87 1.0000000
## 2006-1987 -1.531717e+04  -75161.13  44526.78 1.0000000
## 2007-1987 -1.632923e+04  -78171.83  45513.36 1.0000000
## 2008-1987 -1.879239e+04  -78882.04  41297.25 1.0000000
## 2009-1987 -1.490970e+04  -74518.87  44699.46 1.0000000
## 2010-1987 -1.119034e+04  -70799.50  48418.83 1.0000000
## 2011-1987 -8.550464e+03  -68159.63  51058.70 1.0000000
## 2012-1987 -8.802015e+03  -68527.26  50923.23 1.0000000
## 2013-1987 -1.044191e+04  -68835.18  47951.36 1.0000000
## 2014-1987 -1.005605e+04  -68919.50  48807.41 1.0000000
## 2015-1987 -9.871171e+03  -69480.34  49738.00 1.0000000
## 1989-1988  9.594277e-01  -82060.73  82062.65 1.0000000
## 1990-1988  8.346659e+03  -64128.26  80821.58 1.0000000
## 1991-1988  7.595034e+03  -63264.37  78454.44 1.0000000
## 1992-1988  1.047371e+02  -76367.82  76577.30 1.0000000
## 1993-1988  1.612147e+04  -55161.07  87404.01 1.0000000
## 1994-1988  1.701391e+04  -53643.99  87671.80 1.0000000
## 1995-1988  1.177236e+04  -58885.53  82430.25 1.0000000
## 1996-1988  1.418509e+04  -56472.80  84842.99 1.0000000
## 1997-1988  1.106413e+02  -75944.85  76166.13 1.0000000
## 1998-1988  8.000549e+01  -70577.89  70737.90 1.0000000
## 1999-1988  1.039888e+04  -60259.02  81056.77 1.0000000
## 2000-1988  8.729360e+03  -60366.16  77824.88 1.0000000
## 2001-1988  1.006654e+04  -59183.09  79316.16 1.0000000
## 2002-1988  1.396651e+04  -54552.94  82485.96 1.0000000
## 2003-1988  1.677452e+04  -52475.10  86024.15 1.0000000
## 2004-1988  1.651490e+04  -50589.02  83618.82 1.0000000
## 2005-1988  1.323825e+04  -53475.41  79951.91 1.0000000
## 2006-1988  1.112569e+04  -56186.88  78438.27 1.0000000
## 2007-1988  1.011364e+04  -58981.88  79209.15 1.0000000
## 2008-1988  7.650478e+03  -59880.62  75181.58 1.0000000
## 2009-1988  1.153317e+04  -55570.76  78637.09 1.0000000
## 2010-1988  1.525253e+04  -51851.39  82356.45 1.0000000
## 2011-1988  1.789241e+04  -49211.52  84996.33 1.0000000
## 2012-1988  1.764085e+04  -49566.20  84847.91 1.0000000
## 2013-1988  1.600096e+04  -50025.23  82027.15 1.0000000
## 2014-1988  1.638682e+04  -50055.56  82829.21 1.0000000
## 2015-1988  1.657170e+04  -50532.22  83675.62 1.0000000
## 1990-1989  8.345700e+03  -64129.22  80820.62 1.0000000
## 1991-1989  7.594075e+03  -63265.33  78453.48 1.0000000
## 1992-1989  1.037777e+02  -76368.78  76576.34 1.0000000
## 1993-1989  1.612051e+04  -55162.03  87403.05 1.0000000
## 1994-1989  1.701295e+04  -53644.95  87670.84 1.0000000
## 1995-1989  1.177140e+04  -58886.49  82429.30 1.0000000
## 1996-1989  1.418413e+04  -56473.76  84842.03 1.0000000
## 1997-1989  1.096819e+02  -75945.81  76165.17 1.0000000
## 1998-1989  7.904606e+01  -70578.85  70736.94 1.0000000
## 1999-1989  1.039792e+04  -60259.97  81055.81 1.0000000
## 2000-1989  8.728401e+03  -60367.12  77823.92 1.0000000
## 2001-1989  1.006558e+04  -59184.05  79315.20 1.0000000
## 2002-1989  1.396555e+04  -54553.90  82485.01 1.0000000
## 2003-1989  1.677356e+04  -52476.06  86023.19 1.0000000
## 2004-1989  1.651394e+04  -50589.98  83617.86 1.0000000
## 2005-1989  1.323729e+04  -53476.37  79950.95 1.0000000
## 2006-1989  1.112474e+04  -56187.84  78437.31 1.0000000
## 2007-1989  1.011268e+04  -58982.84  79208.20 1.0000000
## 2008-1989  7.649519e+03  -59881.58  75180.62 1.0000000
## 2009-1989  1.153221e+04  -55571.72  78636.13 1.0000000
## 2010-1989  1.525157e+04  -51852.35  82355.49 1.0000000
## 2011-1989  1.789145e+04  -49212.48  84995.37 1.0000000
## 2012-1989  1.763989e+04  -49567.16  84846.95 1.0000000
## 2013-1989  1.600000e+04  -50026.19  82026.19 1.0000000
## 2014-1989  1.638586e+04  -50056.52  82828.25 1.0000000
## 2015-1989  1.657074e+04  -50533.18  83674.66 1.0000000
## 1991-1990 -7.516247e+02  -60245.73  58742.48 1.0000000
## 1992-1990 -8.241922e+03  -74321.77  57837.92 1.0000000
## 1993-1990  7.774808e+03  -52222.64  67772.26 1.0000000
## 1994-1990  8.667246e+03  -50586.71  67921.20 1.0000000
## 1995-1990  3.425701e+03  -55828.26  62679.66 1.0000000
## 1996-1990  5.838433e+03  -53415.52  65092.39 1.0000000
## 1997-1990 -8.236018e+03  -73832.75  57360.71 1.0000000
## 1998-1990 -8.266654e+03  -67520.61  50987.30 1.0000000
## 1999-1990  2.052220e+03  -57201.74  61306.18 1.0000000
## 2000-1990  3.827010e+02  -56999.21  57764.61 1.0000000
## 2001-1990  1.719878e+03  -55847.51  59287.26 1.0000000
## 2002-1990  5.619853e+03  -51067.08  62306.79 1.0000000
## 2003-1990  8.427862e+03  -49139.52  65995.25 1.0000000
## 2004-1990  8.168243e+03  -46799.29  63135.78 1.0000000
## 2005-1990  4.891588e+03  -49598.83  59382.01 1.0000000
## 2006-1990  2.779036e+03  -52443.03  58001.10 1.0000000
## 2007-1990  1.766979e+03  -55614.93  59148.89 1.0000000
## 2008-1990 -6.961808e+02  -56184.40  54792.04 1.0000000
## 2009-1990  3.186508e+03  -51781.03  58154.04 1.0000000
## 2010-1990  6.905873e+03  -48061.66  61873.41 1.0000000
## 2011-1990  9.545746e+03  -45421.79  64513.28 1.0000000
## 2012-1990  9.294195e+03  -45799.20  64387.59 1.0000000
## 2013-1990  7.654300e+03  -45992.24  61300.83 1.0000000
## 2014-1990  8.040164e+03  -46117.79  62198.12 1.0000000
## 2015-1990  8.225040e+03  -46742.49  63192.57 1.0000000
## 1992-1991 -7.490297e+03  -71794.16  56813.56 1.0000000
## 1993-1991  8.526432e+03  -49509.20  66562.06 1.0000000
## 1994-1991  9.418871e+03  -47847.81  66685.55 1.0000000
## 1995-1991  4.177326e+03  -53089.35  61444.00 1.0000000
## 1996-1991  6.590058e+03  -50676.62  63856.73 1.0000000
## 1997-1991 -7.484393e+03  -71291.69  56322.91 1.0000000
## 1998-1991 -7.515029e+03  -64781.70  49751.65 1.0000000
## 1999-1991  2.803845e+03  -54462.83  60070.52 1.0000000
## 2000-1991  1.134326e+03  -54193.10  56461.76 1.0000000
## 2001-1991  2.471503e+03  -53048.27  57991.27 1.0000000
## 2002-1991  6.371477e+03  -48234.84  60977.79 1.0000000
## 2003-1991  9.179487e+03  -46340.28  64699.25 1.0000000
## 2004-1991  8.919867e+03  -43899.36  61739.09 1.0000000
## 2005-1991  5.643213e+03  -46679.31  57965.74 1.0000000
## 2006-1991  3.530661e+03  -49553.39  56614.71 1.0000000
## 2007-1991  2.518604e+03  -52808.83  57846.03 1.0000000
## 2008-1991  5.544389e+01  -53305.43  53416.32 1.0000000
## 2009-1991  3.938132e+03  -48881.09  56757.36 1.0000000
## 2010-1991  7.657497e+03  -45161.73  60476.72 1.0000000
## 2011-1991  1.029737e+04  -42521.85  63116.60 1.0000000
## 2012-1991  1.004582e+04  -42904.37  62996.01 1.0000000
## 2013-1991  8.405924e+03  -43037.17  59849.01 1.0000000
## 2014-1991  8.791789e+03  -43184.40  60767.98 1.0000000
## 2015-1991  8.976665e+03  -43842.56  61795.89 1.0000000
## 1993-1992  1.601673e+04  -48753.11  80786.57 1.0000000
## 1994-1992  1.690917e+04  -47172.57  80990.91 1.0000000
## 1995-1992  1.166762e+04  -52414.12  75749.36 1.0000000
## 1996-1992  1.408036e+04  -50001.39  78162.10 1.0000000
## 1997-1992  5.904217e+00  -69982.44  69994.25 1.0000000
## 1998-1992 -2.473163e+01  -64106.47  64057.01 1.0000000
## 1999-1992  1.029414e+04  -53787.60  74375.88 1.0000000
## 2000-1992  8.624623e+03  -53730.18  70979.43 1.0000000
## 2001-1992  9.961800e+03  -52563.73  72487.33 1.0000000
## 2002-1992  1.386177e+04  -47854.08  75577.63 1.0000000
## 2003-1992  1.666978e+04  -45855.75  79195.31 1.0000000
## 2004-1992  1.641016e+04  -43730.24  76550.57 1.0000000
## 2005-1992  1.313351e+04  -46571.13  72838.15 1.0000000
## 2006-1992  1.102096e+04  -49352.17  71394.08 1.0000000
## 2007-1992  1.000890e+04  -52345.90  72363.71 1.0000000
## 2008-1992  7.545741e+03  -53070.93  68162.41 1.0000000
## 2009-1992  1.142843e+04  -48711.97  71568.83 1.0000000
## 2010-1992  1.514779e+04  -44992.61  75288.20 1.0000000
## 2011-1992  1.778767e+04  -42352.73  77928.07 1.0000000
## 2012-1992  1.753612e+04  -42719.34  77791.57 1.0000000
## 2013-1992  1.589622e+04  -43039.24  74831.68 1.0000000
## 2014-1992  1.628209e+04  -43119.28  75683.45 1.0000000
## 2015-1992  1.646696e+04  -43673.44  76607.36 1.0000000
## 1994-1993  8.924385e+02  -56896.98  58681.86 1.0000000
## 1995-1993 -4.349107e+03  -62138.53  53440.32 1.0000000
## 1996-1993 -1.936374e+03  -59725.80  55853.05 1.0000000
## 1997-1993 -1.601083e+04  -80287.70  48266.05 1.0000000
## 1998-1993 -1.604146e+04  -73830.88  41747.96 1.0000000
## 1999-1993 -5.722588e+03  -63512.01  52066.84 1.0000000
## 2000-1993 -7.392107e+03  -63260.43  48476.22 1.0000000
## 2001-1993 -6.054930e+03  -62113.74  50003.88 1.0000000
## 2002-1993 -2.154955e+03  -57309.24  52999.33 1.0000000
## 2003-1993  6.530545e+02  -55405.75  56711.86 1.0000000
## 2004-1993  3.934349e+02  -52992.10  53778.97 1.0000000
## 2005-1993 -2.883219e+03  -55777.37  50010.94 1.0000000
## 2006-1993 -4.995772e+03  -58643.34  48651.80 1.0000000
## 2007-1993 -6.007828e+03  -61876.15  49860.50 1.0000000
## 2008-1993 -8.470988e+03  -62392.49  45450.51 1.0000000
## 2009-1993 -4.588300e+03  -57973.84  48797.24 1.0000000
## 2010-1993 -8.689349e+02  -54254.47  52516.60 1.0000000
## 2011-1993  1.770939e+03  -51614.60  55156.48 1.0000000
## 2012-1993  1.519387e+03  -51995.73  55034.51 1.0000000
## 2013-1993 -1.205080e+02  -52144.89  51903.88 1.0000000
## 2014-1993  2.653567e+02  -52286.24  52816.95 1.0000000
## 2015-1993  4.502322e+02  -52935.31  53835.77 1.0000000
## 1995-1994 -5.241545e+03  -62258.69  51775.60 1.0000000
## 1996-1994 -2.828813e+03  -59845.96  54188.33 1.0000000
## 1997-1994 -1.690326e+04  -80486.71  46680.18 1.0000000
## 1998-1994 -1.693390e+04  -73951.05  40083.25 1.0000000
## 1999-1994 -6.615026e+03  -63632.17  50402.12 1.0000000
## 2000-1994 -8.284545e+03  -63353.66  46784.57 1.0000000
## 2001-1994 -6.947368e+03  -62209.72  48314.98 1.0000000
## 2002-1994 -3.047393e+03  -57391.96  51297.18 1.0000000
## 2003-1994 -2.393839e+02  -55501.74  55022.97 1.0000000
## 2004-1994 -4.990035e+02  -53047.58  52049.58 1.0000000
## 2005-1994 -3.775658e+03  -55824.95  48273.64 1.0000000
## 2006-1994 -5.888210e+03  -58702.98  46926.56 1.0000000
## 2007-1994 -6.900267e+03  -61969.38  48168.85 1.0000000
## 2008-1994 -9.363427e+03  -62456.42  43729.57 1.0000000
## 2009-1994 -5.480739e+03  -58029.32  47067.84 1.0000000
## 2010-1994 -1.761373e+03  -54309.95  50787.21 1.0000000
## 2011-1994  8.785001e+02  -51670.08  53427.08 1.0000000
## 2012-1994  6.269488e+02  -52053.27  53307.17 1.0000000
## 2013-1994 -1.012946e+03  -52178.11  50152.22 1.0000000
## 2014-1994 -6.270818e+02  -52328.22  51074.05 1.0000000
## 2015-1994 -4.422063e+02  -52990.79  52106.37 1.0000000
## 1996-1995  2.412732e+03  -54604.41  59429.88 1.0000000
## 1997-1995 -1.166172e+04  -75245.16  51921.73 1.0000000
## 1998-1995 -1.169235e+04  -68709.50  45324.79 1.0000000
## 1999-1995 -1.373481e+03  -58390.63  55643.67 1.0000000
## 2000-1995 -3.043000e+03  -58112.11  52026.11 1.0000000
## 2001-1995 -1.705823e+03  -56968.17  53556.53 1.0000000
## 2002-1995  2.194152e+03  -52150.42  56538.72 1.0000000
## 2003-1995  5.002161e+03  -50260.19  60264.51 1.0000000
## 2004-1995  4.742542e+03  -47806.04  57291.12 1.0000000
## 2005-1995  1.465887e+03  -50583.41  53515.18 1.0000000
## 2006-1995 -6.466651e+02  -53461.43  52168.10 1.0000000
## 2007-1995 -1.658722e+03  -56727.84  53410.39 1.0000000
## 2008-1995 -4.121882e+03  -57214.88  48971.11 1.0000000
## 2009-1995 -2.391933e+02  -52787.77  52309.39 1.0000000
## 2010-1995  3.480172e+03  -49068.41  56028.75 1.0000000
## 2011-1995  6.120045e+03  -46428.54  58668.63 1.0000000
## 2012-1995  5.868494e+03  -46811.73  58548.71 1.0000000
## 2013-1995  4.228599e+03  -46936.57  55393.77 1.0000000
## 2014-1995  4.614463e+03  -47086.67  56315.60 1.0000000
## 2015-1995  4.799339e+03  -47749.24  57347.92 1.0000000
## 1997-1996 -1.407445e+04  -77657.89  49508.99 1.0000000
## 1998-1996 -1.410509e+04  -71122.23  42912.06 1.0000000
## 1999-1996 -3.786213e+03  -60803.36  53230.93 1.0000000
## 2000-1996 -5.455732e+03  -60524.85  49613.38 1.0000000
## 2001-1996 -4.118555e+03  -59380.91  51143.80 1.0000000
## 2002-1996 -2.185806e+02  -54563.15  54125.99 1.0000000
## 2003-1996  2.589429e+03  -52672.92  57851.78 1.0000000
## 2004-1996  2.329809e+03  -50218.77  54878.39 1.0000000
## 2005-1996 -9.468450e+02  -52996.14  51102.45 1.0000000
## 2006-1996 -3.059397e+03  -55874.17  49755.37 1.0000000
## 2007-1996 -4.071454e+03  -59140.57  50997.66 1.0000000
## 2008-1996 -6.534614e+03  -59627.61  46558.38 1.0000000
## 2009-1996 -2.651926e+03  -55200.51  49896.66 1.0000000
## 2010-1996  1.067439e+03  -51481.14  53616.02 1.0000000
## 2011-1996  3.707313e+03  -48841.27  56255.89 1.0000000
## 2012-1996  3.455762e+03  -49224.46  56135.98 1.0000000
## 2013-1996  1.815866e+03  -49349.30  52981.03 1.0000000
## 2014-1996  2.201731e+03  -49499.40  53902.87 1.0000000
## 2015-1996  2.386607e+03  -50161.97  54935.19 1.0000000
## 1998-1997 -3.063585e+01  -63614.08  63552.81 1.0000000
## 1999-1997  1.028824e+04  -53295.21  73871.68 1.0000000
## 2000-1997  8.618719e+03  -53223.88  70461.31 1.0000000
## 2001-1997  9.955896e+03  -52058.83  71970.63 1.0000000
## 2002-1997  1.385587e+04  -47342.43  75054.17 1.0000000
## 2003-1997  1.666388e+04  -45350.85  78678.61 1.0000000
## 2004-1997  1.640426e+04  -43204.91  76013.43 1.0000000
## 2005-1997  1.312761e+04  -46041.88  72297.10 1.0000000
## 2006-1997  1.101505e+04  -48828.90  70859.01 1.0000000
## 2007-1997  1.000300e+04  -51839.60  71845.59 1.0000000
## 2008-1997  7.539837e+03  -52549.81  67629.48 1.0000000
## 2009-1997  1.142253e+04  -48186.64  71031.69 1.0000000
## 2010-1997  1.514189e+04  -44467.28  74751.06 1.0000000
## 2011-1997  1.778176e+04  -41827.40  77390.93 1.0000000
## 2012-1997  1.753021e+04  -42195.03  77255.46 1.0000000
## 2013-1997  1.589032e+04  -42502.95  74283.58 1.0000000
## 2014-1997  1.627618e+04  -42587.28  75139.64 1.0000000
## 2015-1997  1.646106e+04  -43148.11  76070.22 1.0000000
## 1999-1998  1.031887e+04  -46698.27  67336.02 1.0000000
## 2000-1998  8.649355e+03  -46419.76  63718.47 1.0000000
## 2001-1998  9.986531e+03  -45275.82  65248.88 1.0000000
## 2002-1998  1.388651e+04  -40458.06  68231.08 1.0000000
## 2003-1998  1.669452e+04  -38567.84  71956.87 1.0000000
## 2004-1998  1.643490e+04  -36113.68  68983.48 1.0000000
## 2005-1998  1.315824e+04  -38891.05  65207.54 1.0000000
## 2006-1998  1.104569e+04  -41769.08  63860.46 1.0000000
## 2007-1998  1.003363e+04  -45035.48  65102.75 1.0000000
## 2008-1998  7.570473e+03  -45522.52  60663.47 1.0000000
## 2009-1998  1.145316e+04  -41095.42  64001.74 1.0000000
## 2010-1998  1.517253e+04  -37376.05  67721.11 1.0000000
## 2011-1998  1.781240e+04  -34736.18  70360.98 1.0000000
## 2012-1998  1.756085e+04  -35119.37  70241.07 1.0000000
## 2013-1998  1.592095e+04  -35244.21  67086.12 1.0000000
## 2014-1998  1.630682e+04  -35394.32  68007.95 1.0000000
## 2015-1998  1.649169e+04  -36056.89  69040.27 1.0000000
## 2000-1999 -1.669519e+03  -56738.63  53399.59 1.0000000
## 2001-1999 -3.323422e+02  -55594.69  54930.01 1.0000000
## 2002-1999  3.567633e+03  -50776.94  57912.20 1.0000000
## 2003-1999  6.375642e+03  -48886.71  61637.99 1.0000000
## 2004-1999  6.116023e+03  -46432.56  58664.60 1.0000000
## 2005-1999  2.839368e+03  -49209.93  54888.66 1.0000000
## 2006-1999  7.268158e+02  -52087.95  53541.58 1.0000000
## 2007-1999 -2.852406e+02  -55354.35  54783.87 1.0000000
## 2008-1999 -2.748401e+03  -55841.40  50344.59 1.0000000
## 2009-1999  1.134288e+03  -51414.29  53682.87 1.0000000
## 2010-1999  4.853653e+03  -47694.93  57402.23 1.0000000
## 2011-1999  7.493526e+03  -45055.05  60042.11 1.0000000
## 2012-1999  7.241975e+03  -45438.24  59922.19 1.0000000
## 2013-1999  5.602080e+03  -45563.09  56767.25 1.0000000
## 2014-1999  5.987944e+03  -45713.19  57689.08 1.0000000
## 2015-1999  6.172820e+03  -46375.76  58721.40 1.0000000
## 2001-2000  1.337177e+03  -51912.98  54587.34 1.0000000
## 2002-2000  5.237152e+03  -47059.93  57534.23 1.0000000
## 2003-2000  8.045161e+03  -45205.00  61295.32 1.0000000
## 2004-2000  7.785542e+03  -42642.68  58213.76 1.0000000
## 2005-2000  4.508887e+03  -45398.84  54416.62 1.0000000
## 2006-2000  2.396335e+03  -48309.21  53101.88 1.0000000
## 2007-2000  1.384278e+03  -51665.32  54433.87 1.0000000
## 2008-2000 -1.078882e+03  -52074.16  49916.40 1.0000000
## 2009-2000  2.803807e+03  -47624.42  53232.03 1.0000000
## 2010-2000  6.523172e+03  -43905.05  56951.39 1.0000000
## 2011-2000  9.163045e+03  -41265.18  59591.27 1.0000000
## 2012-2000  8.911494e+03  -41653.89  59476.88 1.0000000
## 2013-2000  7.271599e+03  -41713.36  56256.56 1.0000000
## 2014-2000  7.657463e+03  -41887.06  57201.99 1.0000000
## 2015-2000  7.842339e+03  -42585.88  58270.56 1.0000000
## 2002-2001  3.899975e+03  -48600.55  56400.50 1.0000000
## 2003-2001  6.707984e+03  -46741.99  60157.96 1.0000000
## 2004-2001  6.448365e+03  -44190.81  57087.54 1.0000000
## 2005-2001  3.171710e+03  -46949.16  53292.58 1.0000000
## 2006-2001  1.059158e+03  -49856.18  51974.50 1.0000000
## 2007-2001  4.710153e+01  -53203.06  53297.26 1.0000000
## 2008-2001 -2.416059e+03  -53619.95  48787.83 1.0000000
## 2009-2001  1.466630e+03  -49172.54  52105.80 1.0000000
## 2010-2001  5.185995e+03  -45453.18  55825.17 1.0000000
## 2011-2001  7.825868e+03  -42813.30  58465.04 1.0000000
## 2012-2001  7.574317e+03  -43201.44  58350.08 1.0000000
## 2013-2001  5.934422e+03  -43267.68  55136.52 1.0000000
## 2014-2001  6.320287e+03  -43438.93  56079.51 1.0000000
## 2015-2001  6.505162e+03  -44134.01  57144.33 1.0000000
## 2003-2002  2.808010e+03  -49692.51  55308.53 1.0000000
## 2004-2002  2.548390e+03  -47087.59  52184.37 1.0000000
## 2005-2002 -7.282644e+02  -49835.36  48378.83 1.0000000
## 2006-2002 -2.840817e+03  -52758.52  47076.89 1.0000000
## 2007-2002 -3.852873e+03  -56149.95  48444.21 1.0000000
## 2008-2002 -6.316034e+03  -56528.02  43895.95 1.0000000
## 2009-2002 -2.433345e+03  -52069.33  47202.64 1.0000000
## 2010-2002  1.286020e+03  -48349.96  50922.00 1.0000000
## 2011-2002  3.925894e+03  -45710.09  53561.88 1.0000000
## 2012-2002  3.674342e+03  -46100.98  53449.67 1.0000000
## 2013-2002  2.034447e+03  -46134.54  50203.44 1.0000000
## 2014-2002  2.420312e+03  -46317.61  51158.23 1.0000000
## 2015-2002  2.605187e+03  -47030.79  52241.17 1.0000000
## 2004-2003 -2.596196e+02  -50898.79  50379.55 1.0000000
## 2005-2003 -3.536274e+03  -53657.14  46584.60 1.0000000
## 2006-2003 -5.648826e+03  -56564.17  45266.52 1.0000000
## 2007-2003 -6.660883e+03  -59911.04  46589.28 1.0000000
## 2008-2003 -9.124043e+03  -60327.93  42079.85 1.0000000
## 2009-2003 -5.241355e+03  -55880.53  45397.82 1.0000000
## 2010-2003 -1.521989e+03  -52161.16  49117.18 1.0000000
## 2011-2003  1.117884e+03  -49521.29  51757.06 1.0000000
## 2012-2003  8.663328e+02  -49909.43  51642.09 1.0000000
## 2013-2003 -7.735625e+02  -49975.66  48428.54 1.0000000
## 2014-2003 -3.876979e+02  -50146.92  49371.52 1.0000000
## 2015-2003 -2.028224e+02  -50841.99  50436.35 1.0000000
## 2005-2004 -3.276654e+03  -50388.52  43835.21 1.0000000
## 2006-2004 -5.389207e+03  -53345.42  42567.00 1.0000000
## 2007-2004 -6.401263e+03  -56829.49  44026.96 1.0000000
## 2008-2004 -8.864423e+03  -57126.88  39398.03 1.0000000
## 2009-2004 -4.981735e+03  -52644.63  42681.16 1.0000000
## 2010-2004 -1.262370e+03  -48925.27  46400.53 1.0000000
## 2011-2004  1.377504e+03  -46285.39  49040.40 1.0000000
## 2012-2004  1.125952e+03  -46682.04  48933.94 1.0000000
## 2013-2004 -5.139429e+02  -46647.15  45619.26 1.0000000
## 2014-2004 -1.280783e+02  -46855.01  46598.85 1.0000000
## 2015-2004  5.679723e+01  -47606.10  47719.69 1.0000000
## 2006-2005 -2.112552e+03  -49521.14  45296.03 1.0000000
## 2007-2005 -3.124609e+03  -53032.34  46783.12 1.0000000
## 2008-2005 -5.587769e+03  -53306.11  42130.57 1.0000000
## 2009-2005 -1.705081e+03  -48816.94  45406.78 1.0000000
## 2010-2005  2.014285e+03  -45097.58  49126.15 1.0000000
## 2011-2005  4.654158e+03  -42457.70  51766.02 1.0000000
## 2012-2005  4.402607e+03  -42856.04  51661.25 1.0000000
## 2013-2005  2.762711e+03  -42800.96  48326.39 1.0000000
## 2014-2005  3.148576e+03  -43016.15  49313.30 1.0000000
## 2015-2005  3.333452e+03  -43778.41  50445.31 1.0000000
## 2007-2006 -1.012056e+03  -51717.60  49693.49 1.0000000
## 2008-2006 -3.475217e+03  -52027.36  45076.93 1.0000000
## 2009-2006  4.074718e+02  -47548.74  48363.68 1.0000000
## 2010-2006  4.126837e+03  -43829.37  52083.05 1.0000000
## 2011-2006  6.766710e+03  -41189.50  54722.92 1.0000000
## 2012-2006  6.515159e+03  -41585.26  54615.58 1.0000000
## 2013-2006  4.875264e+03  -41560.92  51311.45 1.0000000
## 2014-2006  5.261129e+03  -41764.95  52287.21 1.0000000
## 2015-2006  5.446004e+03  -42510.21  53402.21 1.0000000
## 2008-2007 -2.463160e+03  -53458.44  48532.12 1.0000000
## 2009-2007  1.419528e+03  -49008.69  51847.75 1.0000000
## 2010-2007  5.138893e+03  -45289.33  55567.12 1.0000000
## 2011-2007  7.778767e+03  -42649.46  58206.99 1.0000000
## 2012-2007  7.527216e+03  -43038.17  58092.60 1.0000000
## 2013-2007  5.887320e+03  -43097.64  54872.28 1.0000000
## 2014-2007  6.273185e+03  -43271.34  55817.71 1.0000000
## 2015-2007  6.458060e+03  -43970.16  56886.28 1.0000000
## 2009-2008  3.882688e+03  -44379.76  52145.14 1.0000000
## 2010-2008  7.602054e+03  -40660.40  55864.51 1.0000000
## 2011-2008  1.024193e+04  -38020.53  58504.38 1.0000000
## 2012-2008  9.990376e+03  -38415.37  58396.12 1.0000000
## 2013-2008  8.350481e+03  -38401.90  55102.86 1.0000000
## 2014-2008  8.736345e+03  -38602.00  56074.69 1.0000000
## 2015-2008  8.921221e+03  -39341.23  57183.67 1.0000000
## 2010-2009  3.719365e+03  -43943.53  51382.26 1.0000000
## 2011-2009  6.359239e+03  -41303.66  54022.14 1.0000000
## 2012-2009  6.107687e+03  -41700.30  53915.68 1.0000000
## 2013-2009  4.467792e+03  -41665.41  50601.00 1.0000000
## 2014-2009  4.853657e+03  -41873.27  51580.58 1.0000000
## 2015-2009  5.038532e+03  -42624.36  52701.43 1.0000000
## 2011-2010  2.639873e+03  -45023.02  50302.77 1.0000000
## 2012-2010  2.388322e+03  -45419.67  50196.31 1.0000000
## 2013-2010  7.484269e+02  -45384.78  46881.63 1.0000000
## 2014-2010  1.134292e+03  -45592.64  47861.22 1.0000000
## 2015-2010  1.319167e+03  -46343.73  48982.06 1.0000000
## 2012-2011 -2.515512e+02  -48059.54  47556.44 1.0000000
## 2013-2011 -1.891447e+03  -48024.65  44241.76 1.0000000
## 2014-2011 -1.505582e+03  -48232.51  45221.35 1.0000000
## 2015-2011 -1.320706e+03  -48983.60  46342.19 1.0000000
## 2013-2012 -1.639895e+03  -47922.99  44643.20 1.0000000
## 2014-2012 -1.254031e+03  -48128.95  45620.89 1.0000000
## 2015-2012 -1.069155e+03  -48877.14  46738.83 1.0000000
## 2014-2013  3.858646e+02  -44779.68  45551.41 1.0000000
## 2015-2013  5.707401e+02  -45562.47  46703.95 1.0000000
## 2015-2014  1.848755e+02  -46542.05  46911.80 1.0000000

Hypothesis Test

H0 = The mean of all the world indicators that effect the adolescent fertility rates are equal throughout from 1960 to 2015.

H1 = The mean of all the world indicators that effect the adolescent fertility rates are not equal throughout from 1960 to 2015.

Inference

## Response variable: numerical, Explanatory variable: categorical
## ANOVA
## 
## Summary statistics:
## n_1960 = 10, mean_1960 = 74.9233, sd_1960 = 68.892
## n_1961 = 10, mean_1961 = 73.6712, sd_1961 = 66.8921
## n_1962 = 10, mean_1962 = 73.8539, sd_1962 = 67.9554
## n_1963 = 10, mean_1963 = 74.0197, sd_1963 = 69.143
## n_1964 = 10, mean_1964 = 73.4898, sd_1964 = 68.7855
## n_1965 = 10, mean_1965 = 73.1848, sd_1965 = 69.0325
## n_1966 = 10, mean_1966 = 73.175, sd_1966 = 70.1394
## n_1967 = 10, mean_1967 = 72.6235, sd_1967 = 69.6596
## n_1968 = 10, mean_1968 = 73.344, sd_1968 = 71.6037
## n_1969 = 10, mean_1969 = 72.9705, sd_1969 = 71.1177
## n_1970 = 20, mean_1970 = 66.9247, sd_1970 = 53.0924
## n_1971 = 13, mean_1971 = 62.6075, sd_1971 = 63.4069
## n_1972 = 18, mean_1972 = 58.4416, sd_1972 = 56.9351
## n_1973 = 14, mean_1973 = 62.7024, sd_1973 = 59.9224
## n_1974 = 13, mean_1974 = 61.1609, sd_1974 = 59.9746
## n_1975 = 17, mean_1975 = 55.6956, sd_1975 = 52.4199
## n_1976 = 22, mean_1976 = 48.8161, sd_1976 = 51.2244
## n_1977 = 21, mean_1977 = 47.4507, sd_1977 = 51.5511
## n_1978 = 26, mean_1978 = 48.5422, sd_1978 = 47.7032
## n_1979 = 24, mean_1979 = 44.9336, sd_1979 = 47.1171
## n_1980 = 33, mean_1980 = 57.0316, sd_1980 = 44.7322
## n_1981 = 36, mean_1981 = 47.6418, sd_1981 = 43.1123
## n_1982 = 34, mean_1982 = 49.767, sd_1982 = 43.7865
## n_1983 = 37, mean_1983 = 49.0464, sd_1983 = 42.25
## n_1984 = 35, mean_1984 = 48.7641, sd_1984 = 43.3831
## n_1985 = 35, mean_1985 = 48.6942, sd_1985 = 43.4296
## n_1986 = 39, mean_1986 = 35005.85, sd_1986 = 155139.9
## n_1987 = 39, mean_1987 = 26492.18, sd_1987 = 118847.3
## n_1988 = 28, mean_1988 = 49.3122, sd_1988 = 42.7578
## n_1989 = 28, mean_1989 = 50.2716, sd_1989 = 43.4351
## n_1990 = 50, mean_1990 = 8395.971, sd_1990 = 43077.6
## n_1991 = 57, mean_1991 = 7644.347, sd_1991 = 40203.75
## n_1992 = 38, mean_1992 = 154.0493, sd_1992 = 675.2128
## n_1993 = 55, mean_1993 = 16170.78, sd_1993 = 83374.73
## n_1994 = 58, mean_1994 = 17063.22, sd_1994 = 90962.72
## n_1995 = 58, mean_1995 = 11821.67, sd_1995 = 62600.74
## n_1996 = 58, mean_1996 = 14234.4, sd_1996 = 75799.54
## n_1997 = 39, mean_1997 = 159.9535, sd_1997 = 730.6688
## n_1998 = 58, mean_1998 = 129.3176, sd_1998 = 611.9019
## n_1999 = 58, mean_1999 = 10448.19, sd_1999 = 55579.76
## n_2000 = 67, mean_2000 = 8778.672, sd_2000 = 49890.47
## n_2001 = 66, mean_2001 = 10115.85, sd_2001 = 59410.61
## n_2002 = 71, mean_2002 = 14015.82, sd_2002 = 84247.31
## n_2003 = 66, mean_2003 = 16823.83, sd_2003 = 96567.31
## n_2004 = 83, mean_2004 = 16564.21, sd_2004 = 106582.2
## n_2005 = 87, mean_2005 = 13287.56, sd_2005 = 87797.99
## n_2006 = 81, mean_2006 = 11175.01, sd_2006 = 72886.98
## n_2007 = 67, mean_2007 = 10162.95, sd_2007 = 59725.54
## n_2008 = 79, mean_2008 = 7699.791, sd_2008 = 48401.22
## n_2009 = 83, mean_2009 = 11582.48, sd_2009 = 76554.21
## n_2010 = 83, mean_2010 = 15301.84, sd_2010 = 97703.38
## n_2011 = 83, mean_2011 = 17941.72, sd_2011 = 115370.3
## n_2012 = 82, mean_2012 = 17690.17, sd_2012 = 111954.2
## n_2013 = 95, mean_2013 = 16050.27, sd_2013 = 109429.7
## n_2014 = 90, mean_2014 = 16436.14, sd_2014 = 109396.4
## n_2015 = 83, mean_2015 = 16621.01, sd_2015 = 106133.9
## H_0: All means are equal.
## H_A: At least one mean is different.
## Analysis of Variance Table
## 
## Response: data
##             Df     Sum Sq    Mean Sq F value Pr(>F)
## group       55 1.4222e+11 2585758335    0.45 0.9998
## Residuals 2371 1.3626e+13 5746733270

As we can see, p-value is greater than 0.05.

Therefore, we fail to reject the null hypothesis and conclude that The mean of all the world indicators that effect the adolescent fertility rates are almost equal throughout from 1960 to 2015. . It does not necessarily vary for each of the world indicators.

Switzerland

Confidence Interval

ANOVA Analysis

We will conduct an ANOVA analysis to test the confidence interval, to know the 95% confidence level and difference between the mean rate of adolescent fertility through 1960 to 2015.

## $names
##  [1] "coefficients"  "residuals"     "effects"       "rank"         
##  [5] "fitted.values" "assign"        "qr"            "df.residual"  
##  [9] "contrasts"     "xlevels"       "call"          "terms"        
## [13] "model"        
## 
## $class
## [1] "aov" "lm"
##                    Df    Sum Sq  Mean Sq F value Pr(>F)  
## Switzerland$year   55 2.778e+09 50503364   1.419 0.0237 *
## Residuals        2533 9.013e+10 35580526                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Conduct a Tukey’s multiple comparison procedure

Tukey’s multiple comparison

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Switzerland$n ~ Switzerland$year)
## 
## $`Switzerland$year`
##                    diff        lwr        upr     p adj
## 1961-1960  6.682125e-01 -12078.314 12079.6501 1.0000000
## 1962-1960  1.098675e+00 -12077.883 12080.0806 1.0000000
## 1963-1960  1.147384e+00 -12077.835 12080.1293 1.0000000
## 1964-1960 -1.842838e-01 -12079.166 12078.7976 1.0000000
## 1965-1960 -1.253076e+00 -12080.235 12077.7288 1.0000000
## 1966-1960 -7.771175e-01 -12079.759 12078.2048 1.0000000
## 1967-1960 -1.722285e+00 -12080.704 12077.2596 1.0000000
## 1968-1960 -9.865262e-01 -12079.968 12077.9954 1.0000000
## 1969-1960 -9.907675e-01 -12079.973 12077.9912 1.0000000
## 1970-1960 -1.552124e+01 -11240.765 11209.7228 1.0000000
## 1971-1960 -1.850687e+01 -10725.380 10688.3662 1.0000000
## 1972-1960 -1.893029e+01 -10725.803 10687.9428 1.0000000
## 1973-1960 -1.864180e+01 -10283.803 10246.5190 1.0000000
## 1974-1960 -1.898261e+01 -10284.143 10246.1781 1.0000000
## 1975-1960 -1.890475e+01 -10284.066 10246.2560 1.0000000
## 1976-1960 -1.940398e+01 -10284.565 10245.7568 1.0000000
## 1977-1960  4.078818e+03  -5363.756 13521.3929 0.9999923
## 1978-1960  3.369430e+03  -5949.707 12688.5668 1.0000000
## 1979-1960 -2.333501e+01  -9360.638  9313.9678 1.0000000
## 1980-1960 -2.886562e+01  -9254.340  9196.6092 1.0000000
## 1981-1960  2.956425e+03  -6362.712 12275.5622 1.0000000
## 1982-1960  2.851897e+03  -6467.240 12171.0340 1.0000000
## 1983-1960  2.791031e+03  -6528.106 12110.1679 1.0000000
## 1984-1960  2.755069e+03  -6564.068 12074.2058 1.0000000
## 1985-1960  2.674033e+03  -6645.104 11993.1699 1.0000000
## 1986-1960  2.554989e+03  -6764.148 11874.1259 1.0000000
## 1987-1960  2.621052e+03  -6776.234 12018.3386 1.0000000
## 1988-1960  2.368202e+03  -7029.084 11765.4881 1.0000000
## 1989-1960  2.107683e+03  -7289.603 11504.9689 1.0000000
## 1990-1960  1.733661e+03  -7520.420 10987.7418 1.0000000
## 1991-1960  1.209568e+03  -7857.654 10276.7895 1.0000000
## 1992-1960  1.231095e+03  -7836.127 10298.3164 1.0000000
## 1993-1960  1.312947e+03  -7754.275 10380.1687 1.0000000
## 1994-1960  1.379753e+03  -7679.484 10438.9892 1.0000000
## 1995-1960  1.011172e+03  -8099.980 10122.3245 1.0000000
## 1996-1960  8.054614e+02  -8261.760  9872.6831 1.0000000
## 1997-1960  1.801132e+02  -9176.226  9536.4523 1.0000000
## 1998-1960  1.297647e+02  -8981.388  9240.9169 1.0000000
## 1999-1960  1.403773e+02  -8862.764  9143.5188 1.0000000
## 2000-1960  1.567155e+02  -8834.251  9147.6825 1.0000000
## 2001-1960  1.706284e+02  -8832.513  9173.7699 1.0000000
## 2002-1960  1.690599e+02  -8834.082  9172.2014 1.0000000
## 2003-1960  1.735474e+02  -8817.419  9164.5143 1.0000000
## 2004-1960  2.131040e+02  -8802.890  9229.0980 1.0000000
## 2005-1960  2.503520e+02  -8740.615  9241.3189 1.0000000
## 2006-1960  2.855379e+02  -8711.435  9282.5109 1.0000000
## 2007-1960  2.888758e+02  -8714.266  9292.0174 1.0000000
## 2008-1960  2.377144e+02  -8765.427  9240.8560 1.0000000
## 2009-1960  1.600965e+02  -8744.647  9064.8401 1.0000000
## 2010-1960  1.612146e+02  -8768.345  9090.7740 1.0000000
## 2011-1960  1.442275e+02  -8772.514  9060.9694 1.0000000
## 2012-1960  1.559538e+02  -8764.966  9076.8732 1.0000000
## 2013-1960  1.456704e+02  -8812.342  9103.6832 1.0000000
## 2014-1960  1.283026e+02  -8776.441  9033.0462 1.0000000
## 2015-1960  1.177461e+02  -8775.742  9011.2345 1.0000000
## 1962-1961  4.304625e-01 -12078.551 12079.4124 1.0000000
## 1963-1961  4.791712e-01 -12078.503 12079.4611 1.0000000
## 1964-1961 -8.524963e-01 -12079.834 12078.1294 1.0000000
## 1965-1961 -1.921289e+00 -12080.903 12077.0606 1.0000000
## 1966-1961 -1.445330e+00 -12080.427 12077.5366 1.0000000
## 1967-1961 -2.390498e+00 -12081.372 12076.5914 1.0000000
## 1968-1961 -1.654739e+00 -12080.637 12077.3272 1.0000000
## 1969-1961 -1.658980e+00 -12080.641 12077.3229 1.0000000
## 1970-1961 -1.618945e+01 -11241.433 11209.0546 1.0000000
## 1971-1961 -1.917508e+01 -10726.048 10687.6980 1.0000000
## 1972-1961 -1.959850e+01 -10726.472 10687.2746 1.0000000
## 1973-1961 -1.931001e+01 -10284.471 10245.8507 1.0000000
## 1974-1961 -1.965083e+01 -10284.812 10245.5099 1.0000000
## 1975-1961 -1.957297e+01 -10284.734 10245.5878 1.0000000
## 1976-1961 -2.007219e+01 -10285.233 10245.0886 1.0000000
## 1977-1961  4.078150e+03  -5364.424 13520.7247 0.9999923
## 1978-1961  3.368762e+03  -5950.375 12687.8986 1.0000000
## 1979-1961 -2.400323e+01  -9361.306  9313.2996 1.0000000
## 1980-1961 -2.953383e+01  -9255.009  9195.9410 1.0000000
## 1981-1961  2.955757e+03  -6363.380 12274.8940 1.0000000
## 1982-1961  2.851229e+03  -6467.908 12170.3658 1.0000000
## 1983-1961  2.790363e+03  -6528.774 12109.4997 1.0000000
## 1984-1961  2.754401e+03  -6564.736 12073.5376 1.0000000
## 1985-1961  2.673365e+03  -6645.772 11992.5017 1.0000000
## 1986-1961  2.554321e+03  -6764.816 11873.4576 1.0000000
## 1987-1961  2.620384e+03  -6776.902 12017.6704 1.0000000
## 1988-1961  2.367534e+03  -7029.752 11764.8199 1.0000000
## 1989-1961  2.107015e+03  -7290.272 11504.3007 1.0000000
## 1990-1961  1.732993e+03  -7521.088 10987.0736 1.0000000
## 1991-1961  1.208900e+03  -7858.322 10276.1213 1.0000000
## 1992-1961  1.230426e+03  -7836.795 10297.6481 1.0000000
## 1993-1961  1.312279e+03  -7754.943 10379.5005 1.0000000
## 1994-1961  1.379085e+03  -7680.152 10438.3210 1.0000000
## 1995-1961  1.010504e+03  -8100.648 10121.6563 1.0000000
## 1996-1961  8.047932e+02  -8262.428  9872.0149 1.0000000
## 1997-1961  1.794450e+02  -9176.894  9535.7841 1.0000000
## 1998-1961  1.290965e+02  -8982.056  9240.2487 1.0000000
## 1999-1961  1.397091e+02  -8863.433  9142.8506 1.0000000
## 2000-1961  1.560473e+02  -8834.920  9147.0142 1.0000000
## 2001-1961  1.699601e+02  -8833.181  9173.1017 1.0000000
## 2002-1961  1.683917e+02  -8834.750  9171.5332 1.0000000
## 2003-1961  1.728792e+02  -8818.088  9163.8461 1.0000000
## 2004-1961  2.124358e+02  -8803.558  9228.4298 1.0000000
## 2005-1961  2.496838e+02  -8741.283  9240.6507 1.0000000
## 2006-1961  2.848697e+02  -8712.103  9281.8426 1.0000000
## 2007-1961  2.882076e+02  -8714.934  9291.3491 1.0000000
## 2008-1961  2.370462e+02  -8766.095  9240.1878 1.0000000
## 2009-1961  1.594283e+02  -8745.315  9064.1719 1.0000000
## 2010-1961  1.605463e+02  -8769.013  9090.1058 1.0000000
## 2011-1961  1.435593e+02  -8773.183  9060.3012 1.0000000
## 2012-1961  1.552856e+02  -8765.634  9076.2049 1.0000000
## 2013-1961  1.450022e+02  -8813.011  9103.0150 1.0000000
## 2014-1961  1.276344e+02  -8777.109  9032.3780 1.0000000
## 2015-1961  1.170779e+02  -8776.411  9010.5663 1.0000000
## 1963-1962  4.870875e-02 -12078.933 12079.0306 1.0000000
## 1964-1962 -1.282959e+00 -12080.265 12077.6990 1.0000000
## 1965-1962 -2.351751e+00 -12081.334 12076.6302 1.0000000
## 1966-1962 -1.875792e+00 -12080.858 12077.1061 1.0000000
## 1967-1962 -2.820960e+00 -12081.803 12076.1610 1.0000000
## 1968-1962 -2.085201e+00 -12081.067 12076.8967 1.0000000
## 1969-1962 -2.089442e+00 -12081.071 12076.8925 1.0000000
## 1970-1962 -1.661992e+01 -11241.864 11208.6241 1.0000000
## 1971-1962 -1.960554e+01 -10726.479 10687.2676 1.0000000
## 1972-1962 -2.002897e+01 -10726.902 10686.8442 1.0000000
## 1973-1962 -1.974047e+01 -10284.901 10245.4203 1.0000000
## 1974-1962 -2.008129e+01 -10285.242 10245.0795 1.0000000
## 1975-1962 -2.000343e+01 -10285.164 10245.1573 1.0000000
## 1976-1962 -2.050265e+01 -10285.663 10244.6581 1.0000000
## 1977-1962  4.077720e+03  -5364.855 13520.2943 0.9999924
## 1978-1962  3.368331e+03  -5950.806 12687.4681 1.0000000
## 1979-1962 -2.443369e+01  -9361.737  9312.8692 1.0000000
## 1980-1962 -2.996429e+01  -9255.439  9195.5105 1.0000000
## 1981-1962  2.955327e+03  -6363.810 12274.4635 1.0000000
## 1982-1962  2.850798e+03  -6468.338 12169.9353 1.0000000
## 1983-1962  2.789932e+03  -6529.204 12109.0692 1.0000000
## 1984-1962  2.753970e+03  -6565.167 12073.1071 1.0000000
## 1985-1962  2.672934e+03  -6646.203 11992.0712 1.0000000
## 1986-1962  2.553890e+03  -6765.247 11873.0272 1.0000000
## 1987-1962  2.619954e+03  -6777.332 12017.2399 1.0000000
## 1988-1962  2.367103e+03  -7030.183 11764.3895 1.0000000
## 1989-1962  2.106584e+03  -7290.702 11503.8702 1.0000000
## 1990-1962  1.732562e+03  -7521.519 10986.6431 1.0000000
## 1991-1962  1.208469e+03  -7858.752 10275.6909 1.0000000
## 1992-1962  1.229996e+03  -7837.226 10297.2177 1.0000000
## 1993-1962  1.311848e+03  -7755.373 10379.0700 1.0000000
## 1994-1962  1.378654e+03  -7680.582 10437.8905 1.0000000
## 1995-1962  1.010074e+03  -8101.079 10121.2258 1.0000000
## 1996-1962  8.043628e+02  -8262.859  9871.5844 1.0000000
## 1997-1962  1.790145e+02  -9177.325  9535.3537 1.0000000
## 1998-1962  1.286660e+02  -8982.486  9239.8182 1.0000000
## 1999-1962  1.392786e+02  -8863.863  9142.4202 1.0000000
## 2000-1962  1.556169e+02  -8835.350  9146.5838 1.0000000
## 2001-1962  1.695297e+02  -8833.612  9172.6712 1.0000000
## 2002-1962  1.679612e+02  -8835.180  9171.1027 1.0000000
## 2003-1962  1.724487e+02  -8818.518  9163.4157 1.0000000
## 2004-1962  2.120053e+02  -8803.989  9227.9993 1.0000000
## 2005-1962  2.492533e+02  -8741.714  9240.2202 1.0000000
## 2006-1962  2.844393e+02  -8712.534  9281.4122 1.0000000
## 2007-1962  2.877771e+02  -8715.364  9290.9187 1.0000000
## 2008-1962  2.366158e+02  -8766.526  9239.7573 1.0000000
## 2009-1962  1.589978e+02  -8745.746  9063.7414 1.0000000
## 2010-1962  1.601159e+02  -8769.444  9089.6754 1.0000000
## 2011-1962  1.431288e+02  -8773.613  9059.8707 1.0000000
## 2012-1962  1.548551e+02  -8766.064  9075.7745 1.0000000
## 2013-1962  1.445718e+02  -8813.441  9102.5845 1.0000000
## 2014-1962  1.272039e+02  -8777.540  9031.9475 1.0000000
## 2015-1962  1.166474e+02  -8776.841  9010.1358 1.0000000
## 1964-1963 -1.331667e+00 -12080.314 12077.6503 1.0000000
## 1965-1963 -2.400460e+00 -12081.382 12076.5815 1.0000000
## 1966-1963 -1.924501e+00 -12080.906 12077.0574 1.0000000
## 1967-1963 -2.869669e+00 -12081.852 12076.1123 1.0000000
## 1968-1963 -2.133910e+00 -12081.116 12076.8480 1.0000000
## 1969-1963 -2.138151e+00 -12081.120 12076.8438 1.0000000
## 1970-1963 -1.666862e+01 -11241.913 11208.5754 1.0000000
## 1971-1963 -1.965425e+01 -10726.527 10687.2189 1.0000000
## 1972-1963 -2.007767e+01 -10726.951 10686.7954 1.0000000
## 1973-1963 -1.978918e+01 -10284.950 10245.3716 1.0000000
## 1974-1963 -2.013000e+01 -10285.291 10245.0308 1.0000000
## 1975-1963 -2.005214e+01 -10285.213 10245.1086 1.0000000
## 1976-1963 -2.055136e+01 -10285.712 10244.6094 1.0000000
## 1977-1963  4.077671e+03  -5364.904 13520.2456 0.9999924
## 1978-1963  3.368283e+03  -5950.854 12687.4194 1.0000000
## 1979-1963 -2.448240e+01  -9361.785  9312.8205 1.0000000
## 1980-1963 -3.001300e+01  -9255.488  9195.4618 1.0000000
## 1981-1963  2.955278e+03  -6363.859 12274.4148 1.0000000
## 1982-1963  2.850750e+03  -6468.387 12169.8866 1.0000000
## 1983-1963  2.789884e+03  -6529.253 12109.0205 1.0000000
## 1984-1963  2.753922e+03  -6565.215 12073.0584 1.0000000
## 1985-1963  2.672886e+03  -6646.251 11992.0225 1.0000000
## 1986-1963  2.553842e+03  -6765.295 11872.9785 1.0000000
## 1987-1963  2.619905e+03  -6777.381 12017.1912 1.0000000
## 1988-1963  2.367055e+03  -7030.232 11764.3408 1.0000000
## 1989-1963  2.106535e+03  -7290.751 11503.8215 1.0000000
## 1990-1963  1.732513e+03  -7521.568 10986.5944 1.0000000
## 1991-1963  1.208420e+03  -7858.801 10275.6422 1.0000000
## 1992-1963  1.229947e+03  -7837.274 10297.1690 1.0000000
## 1993-1963  1.311800e+03  -7755.422 10379.0213 1.0000000
## 1994-1963  1.378605e+03  -7680.631 10437.8418 1.0000000
## 1995-1963  1.010025e+03  -8101.127 10121.1771 1.0000000
## 1996-1963  8.043141e+02  -8262.908  9871.5357 1.0000000
## 1997-1963  1.789658e+02  -9177.373  9535.3049 1.0000000
## 1998-1963  1.286173e+02  -8982.535  9239.7695 1.0000000
## 1999-1963  1.392299e+02  -8863.912  9142.3714 1.0000000
## 2000-1963  1.555681e+02  -8835.399  9146.5351 1.0000000
## 2001-1963  1.694810e+02  -8833.661  9172.6225 1.0000000
## 2002-1963  1.679125e+02  -8835.229  9171.0540 1.0000000
## 2003-1963  1.724000e+02  -8818.567  9163.3670 1.0000000
## 2004-1963  2.119566e+02  -8804.037  9227.9506 1.0000000
## 2005-1963  2.492046e+02  -8741.762  9240.1715 1.0000000
## 2006-1963  2.843906e+02  -8712.582  9281.3635 1.0000000
## 2007-1963  2.877284e+02  -8715.413  9290.8700 1.0000000
## 2008-1963  2.365671e+02  -8766.574  9239.7086 1.0000000
## 2009-1963  1.589491e+02  -8745.795  9063.6927 1.0000000
## 2010-1963  1.600672e+02  -8769.492  9089.6267 1.0000000
## 2011-1963  1.430801e+02  -8773.662  9059.8220 1.0000000
## 2012-1963  1.548064e+02  -8766.113  9075.7258 1.0000000
## 2013-1963  1.445231e+02  -8813.490  9102.5358 1.0000000
## 2014-1963  1.271552e+02  -8777.588  9031.8988 1.0000000
## 2015-1963  1.165987e+02  -8776.890  9010.0871 1.0000000
## 1965-1964 -1.068792e+00 -12080.051 12077.9131 1.0000000
## 1966-1964 -5.928337e-01 -12079.575 12078.3891 1.0000000
## 1967-1964 -1.538001e+00 -12080.520 12077.4439 1.0000000
## 1968-1964 -8.022425e-01 -12079.784 12078.1797 1.0000000
## 1969-1964 -8.064837e-01 -12079.788 12078.1754 1.0000000
## 1970-1964 -1.533696e+01 -11240.581 11209.9071 1.0000000
## 1971-1964 -1.832258e+01 -10725.196 10688.5505 1.0000000
## 1972-1964 -1.874601e+01 -10725.619 10688.1271 1.0000000
## 1973-1964 -1.845751e+01 -10283.618 10246.7032 1.0000000
## 1974-1964 -1.879833e+01 -10283.959 10246.3624 1.0000000
## 1975-1964 -1.872047e+01 -10283.881 10246.4403 1.0000000
## 1976-1964 -1.921969e+01 -10284.380 10245.9411 1.0000000
## 1977-1964  4.079003e+03  -5363.572 13521.5772 0.9999923
## 1978-1964  3.369614e+03  -5949.523 12688.7511 1.0000000
## 1979-1964 -2.315073e+01  -9360.454  9314.1521 1.0000000
## 1980-1964 -2.868134e+01  -9254.156  9196.7935 1.0000000
## 1981-1964  2.956610e+03  -6362.527 12275.7465 1.0000000
## 1982-1964  2.852081e+03  -6467.055 12171.2183 1.0000000
## 1983-1964  2.791215e+03  -6527.922 12110.3522 1.0000000
## 1984-1964  2.755253e+03  -6563.884 12074.3901 1.0000000
## 1985-1964  2.674217e+03  -6644.920 11993.3542 1.0000000
## 1986-1964  2.555173e+03  -6763.964 11874.3101 1.0000000
## 1987-1964  2.621237e+03  -6776.049 12018.5229 1.0000000
## 1988-1964  2.368386e+03  -7028.900 11765.6724 1.0000000
## 1989-1964  2.107867e+03  -7289.419 11505.1532 1.0000000
## 1990-1964  1.733845e+03  -7520.236 10987.9261 1.0000000
## 1991-1964  1.209752e+03  -7857.470 10276.9738 1.0000000
## 1992-1964  1.231279e+03  -7835.943 10298.5006 1.0000000
## 1993-1964  1.313131e+03  -7754.090 10380.3530 1.0000000
## 1994-1964  1.379937e+03  -7679.299 10439.1735 1.0000000
## 1995-1964  1.011357e+03  -8099.796 10122.5088 1.0000000
## 1996-1964  8.056457e+02  -8261.576  9872.8674 1.0000000
## 1997-1964  1.802975e+02  -9176.042  9536.6366 1.0000000
## 1998-1964  1.299489e+02  -8981.203  9241.1012 1.0000000
## 1999-1964  1.405616e+02  -8862.580  9143.7031 1.0000000
## 2000-1964  1.568998e+02  -8834.067  9147.8667 1.0000000
## 2001-1964  1.708126e+02  -8832.329  9173.9542 1.0000000
## 2002-1964  1.692441e+02  -8833.897  9172.3857 1.0000000
## 2003-1964  1.737317e+02  -8817.235  9164.6986 1.0000000
## 2004-1964  2.132883e+02  -8802.706  9229.2823 1.0000000
## 2005-1964  2.505363e+02  -8740.431  9241.5032 1.0000000
## 2006-1964  2.857222e+02  -8711.251  9282.6951 1.0000000
## 2007-1964  2.890601e+02  -8714.081  9292.2016 1.0000000
## 2008-1964  2.378987e+02  -8765.243  9241.0403 1.0000000
## 2009-1964  1.602808e+02  -8744.463  9065.0244 1.0000000
## 2010-1964  1.613988e+02  -8768.161  9090.9583 1.0000000
## 2011-1964  1.444118e+02  -8772.330  9061.1537 1.0000000
## 2012-1964  1.561381e+02  -8764.781  9077.0574 1.0000000
## 2013-1964  1.458547e+02  -8812.158  9103.8675 1.0000000
## 2014-1964  1.284869e+02  -8776.257  9033.2305 1.0000000
## 2015-1964  1.179304e+02  -8775.558  9011.4188 1.0000000
## 1966-1965  4.759588e-01 -12078.506 12079.4579 1.0000000
## 1967-1965 -4.692088e-01 -12079.451 12078.5127 1.0000000
## 1968-1965  2.665500e-01 -12078.715 12079.2485 1.0000000
## 1969-1965  2.623087e-01 -12078.720 12079.2442 1.0000000
## 1970-1965 -1.426816e+01 -11239.512 11210.9759 1.0000000
## 1971-1965 -1.725379e+01 -10724.127 10689.6193 1.0000000
## 1972-1965 -1.767721e+01 -10724.550 10689.1959 1.0000000
## 1973-1965 -1.738872e+01 -10282.549 10247.7720 1.0000000
## 1974-1965 -1.772954e+01 -10282.890 10247.4312 1.0000000
## 1975-1965 -1.765168e+01 -10282.812 10247.5091 1.0000000
## 1976-1965 -1.815090e+01 -10283.312 10247.0099 1.0000000
## 1977-1965  4.080071e+03  -5362.503 13522.6460 0.9999922
## 1978-1965  3.370683e+03  -5948.454 12689.8199 1.0000000
## 1979-1965 -2.208194e+01  -9359.385  9315.2209 1.0000000
## 1980-1965 -2.761254e+01  -9253.087  9197.8623 1.0000000
## 1981-1965  2.957678e+03  -6361.458 12276.8153 1.0000000
## 1982-1965  2.853150e+03  -6465.987 12172.2870 1.0000000
## 1983-1965  2.792284e+03  -6526.853 12111.4210 1.0000000
## 1984-1965  2.756322e+03  -6562.815 12075.4589 1.0000000
## 1985-1965  2.675286e+03  -6643.851 11994.4230 1.0000000
## 1986-1965  2.556242e+03  -6762.895 11875.3789 1.0000000
## 1987-1965  2.622306e+03  -6774.981 12019.5917 1.0000000
## 1988-1965  2.369455e+03  -7027.831 11766.7412 1.0000000
## 1989-1965  2.108936e+03  -7288.350 11506.2220 1.0000000
## 1990-1965  1.734914e+03  -7519.167 10988.9949 1.0000000
## 1991-1965  1.210821e+03  -7856.401 10278.0426 1.0000000
## 1992-1965  1.232348e+03  -7834.874 10299.5694 1.0000000
## 1993-1965  1.314200e+03  -7753.022 10381.4218 1.0000000
## 1994-1965  1.381006e+03  -7678.231 10440.2423 1.0000000
## 1995-1965  1.012425e+03  -8098.727 10123.5776 1.0000000
## 1996-1965  8.067145e+02  -8260.507  9873.9362 1.0000000
## 1997-1965  1.813662e+02  -9174.973  9537.7054 1.0000000
## 1998-1965  1.310177e+02  -8980.135  9242.1700 1.0000000
## 1999-1965  1.416303e+02  -8861.511  9144.7719 1.0000000
## 2000-1965  1.579686e+02  -8832.998  9148.9355 1.0000000
## 2001-1965  1.718814e+02  -8831.260  9175.0230 1.0000000
## 2002-1965  1.703129e+02  -8832.829  9173.4545 1.0000000
## 2003-1965  1.748005e+02  -8816.166  9165.7674 1.0000000
## 2004-1965  2.143571e+02  -8801.637  9230.3511 1.0000000
## 2005-1965  2.516051e+02  -8739.362  9242.5720 1.0000000
## 2006-1965  2.867910e+02  -8710.182  9283.7639 1.0000000
## 2007-1965  2.901289e+02  -8713.013  9293.2704 1.0000000
## 2008-1965  2.389675e+02  -8764.174  9242.1091 1.0000000
## 2009-1965  1.613496e+02  -8743.394  9066.0932 1.0000000
## 2010-1965  1.624676e+02  -8767.092  9092.0271 1.0000000
## 2011-1965  1.454806e+02  -8771.261  9062.2225 1.0000000
## 2012-1965  1.572069e+02  -8763.713  9078.1262 1.0000000
## 2013-1965  1.469235e+02  -8811.089  9104.9363 1.0000000
## 2014-1965  1.295557e+02  -8775.188  9034.2993 1.0000000
## 2015-1965  1.189992e+02  -8774.489  9012.4876 1.0000000
## 1967-1966 -9.451675e-01 -12079.927 12078.0368 1.0000000
## 1968-1966 -2.094087e-01 -12079.191 12078.7725 1.0000000
## 1969-1966 -2.136500e-01 -12079.196 12078.7683 1.0000000
## 1970-1966 -1.474412e+01 -11239.988 11210.4999 1.0000000
## 1971-1966 -1.772975e+01 -10724.603 10689.1434 1.0000000
## 1972-1966 -1.815317e+01 -10725.026 10688.7199 1.0000000
## 1973-1966 -1.786468e+01 -10283.025 10247.2961 1.0000000
## 1974-1966 -1.820550e+01 -10283.366 10246.9553 1.0000000
## 1975-1966 -1.812764e+01 -10283.288 10247.0331 1.0000000
## 1976-1966 -1.862686e+01 -10283.788 10246.5339 1.0000000
## 1977-1966  4.079596e+03  -5362.979 13522.1701 0.9999922
## 1978-1966  3.370207e+03  -5948.930 12689.3439 1.0000000
## 1979-1966 -2.255790e+01  -9359.861  9314.7450 1.0000000
## 1980-1966 -2.808850e+01  -9253.563  9197.3863 1.0000000
## 1981-1966  2.957202e+03  -6361.934 12276.3393 1.0000000
## 1982-1966  2.852674e+03  -6466.463 12171.8111 1.0000000
## 1983-1966  2.791808e+03  -6527.329 12110.9450 1.0000000
## 1984-1966  2.755846e+03  -6563.291 12074.9829 1.0000000
## 1985-1966  2.674810e+03  -6644.327 11993.9470 1.0000000
## 1986-1966  2.555766e+03  -6763.371 11874.9030 1.0000000
## 1987-1966  2.621830e+03  -6775.457 12019.1157 1.0000000
## 1988-1966  2.368979e+03  -7028.307 11766.2653 1.0000000
## 1989-1966  2.108460e+03  -7288.826 11505.7460 1.0000000
## 1990-1966  1.734438e+03  -7519.643 10988.5189 1.0000000
## 1991-1966  1.210345e+03  -7856.877 10277.5667 1.0000000
## 1992-1966  1.231872e+03  -7835.350 10299.0935 1.0000000
## 1993-1966  1.313724e+03  -7753.497 10380.9458 1.0000000
## 1994-1966  1.380530e+03  -7678.707 10439.7663 1.0000000
## 1995-1966  1.011949e+03  -8099.203 10123.1016 1.0000000
## 1996-1966  8.062386e+02  -8260.983  9873.4602 1.0000000
## 1997-1966  1.808903e+02  -9175.449  9537.2295 1.0000000
## 1998-1966  1.305418e+02  -8980.610  9241.6940 1.0000000
## 1999-1966  1.411544e+02  -8861.987  9144.2959 1.0000000
## 2000-1966  1.574926e+02  -8833.474  9148.4596 1.0000000
## 2001-1966  1.714055e+02  -8831.736  9174.5470 1.0000000
## 2002-1966  1.698370e+02  -8833.305  9172.9785 1.0000000
## 2003-1966  1.743245e+02  -8816.642  9165.2915 1.0000000
## 2004-1966  2.138811e+02  -8802.113  9229.8751 1.0000000
## 2005-1966  2.511291e+02  -8739.838  9242.0960 1.0000000
## 2006-1966  2.863151e+02  -8710.658  9283.2880 1.0000000
## 2007-1966  2.896529e+02  -8713.489  9292.7945 1.0000000
## 2008-1966  2.384916e+02  -8764.650  9241.6331 1.0000000
## 2009-1966  1.608736e+02  -8743.870  9065.6172 1.0000000
## 2010-1966  1.619917e+02  -8767.568  9091.5512 1.0000000
## 2011-1966  1.450046e+02  -8771.737  9061.7465 1.0000000
## 2012-1966  1.567309e+02  -8764.188  9077.6503 1.0000000
## 2013-1966  1.464476e+02  -8811.565  9104.4603 1.0000000
## 2014-1966  1.290797e+02  -8775.664  9033.8233 1.0000000
## 2015-1966  1.185232e+02  -8774.965  9012.0116 1.0000000
## 1968-1967  7.357588e-01 -12078.246 12079.7177 1.0000000
## 1969-1967  7.315175e-01 -12078.250 12079.7134 1.0000000
## 1970-1967 -1.379896e+01 -11239.043 11211.4451 1.0000000
## 1971-1967 -1.678458e+01 -10723.658 10690.0885 1.0000000
## 1972-1967 -1.720801e+01 -10724.081 10689.6651 1.0000000
## 1973-1967 -1.691951e+01 -10282.080 10248.2412 1.0000000
## 1974-1967 -1.726033e+01 -10282.421 10247.9004 1.0000000
## 1975-1967 -1.718247e+01 -10282.343 10247.9783 1.0000000
## 1976-1967 -1.768169e+01 -10282.842 10247.4791 1.0000000
## 1977-1967  4.080541e+03  -5362.034 13523.1152 0.9999922
## 1978-1967  3.371152e+03  -5947.985 12690.2891 1.0000000
## 1979-1967 -2.161273e+01  -9358.916  9315.6901 1.0000000
## 1980-1967 -2.714333e+01  -9252.618  9198.3315 1.0000000
## 1981-1967  2.958148e+03  -6360.989 12277.2845 1.0000000
## 1982-1967  2.853619e+03  -6465.517 12172.7563 1.0000000
## 1983-1967  2.792753e+03  -6526.384 12111.8902 1.0000000
## 1984-1967  2.756791e+03  -6562.346 12075.9281 1.0000000
## 1985-1967  2.675755e+03  -6643.382 11994.8922 1.0000000
## 1986-1967  2.556711e+03  -6762.426 11875.8481 1.0000000
## 1987-1967  2.622775e+03  -6774.511 12020.0609 1.0000000
## 1988-1967  2.369924e+03  -7027.362 11767.2104 1.0000000
## 1989-1967  2.109405e+03  -7287.881 11506.6912 1.0000000
## 1990-1967  1.735383e+03  -7518.698 10989.4641 1.0000000
## 1991-1967  1.211290e+03  -7855.932 10278.5118 1.0000000
## 1992-1967  1.232817e+03  -7834.405 10300.0386 1.0000000
## 1993-1967  1.314669e+03  -7752.552 10381.8910 1.0000000
## 1994-1967  1.381475e+03  -7677.761 10440.7115 1.0000000
## 1995-1967  1.012895e+03  -8098.258 10124.0468 1.0000000
## 1996-1967  8.071837e+02  -8260.038  9874.4054 1.0000000
## 1997-1967  1.818355e+02  -9174.504  9538.1746 1.0000000
## 1998-1967  1.314869e+02  -8979.665  9242.6392 1.0000000
## 1999-1967  1.420996e+02  -8861.042  9145.2411 1.0000000
## 2000-1967  1.584378e+02  -8832.529  9149.4047 1.0000000
## 2001-1967  1.723506e+02  -8830.791  9175.4922 1.0000000
## 2002-1967  1.707822e+02  -8832.359  9173.9237 1.0000000
## 2003-1967  1.752697e+02  -8815.697  9166.2366 1.0000000
## 2004-1967  2.148263e+02  -8801.168  9230.8203 1.0000000
## 2005-1967  2.520743e+02  -8738.893  9243.0412 1.0000000
## 2006-1967  2.872602e+02  -8709.713  9284.2331 1.0000000
## 2007-1967  2.905981e+02  -8712.543  9293.7396 1.0000000
## 2008-1967  2.394367e+02  -8763.705  9242.5783 1.0000000
## 2009-1967  1.618188e+02  -8742.925  9066.5624 1.0000000
## 2010-1967  1.629368e+02  -8766.623  9092.4963 1.0000000
## 2011-1967  1.459498e+02  -8770.792  9062.6917 1.0000000
## 2012-1967  1.576761e+02  -8763.243  9078.5954 1.0000000
## 2013-1967  1.473927e+02  -8810.620  9105.4055 1.0000000
## 2014-1967  1.300249e+02  -8774.719  9034.7685 1.0000000
## 2015-1967  1.194684e+02  -8774.020  9012.9568 1.0000000
## 1969-1968 -4.241250e-03 -12078.986 12078.9777 1.0000000
## 1970-1968 -1.453471e+01 -11239.779 11210.7093 1.0000000
## 1971-1968 -1.752034e+01 -10724.393 10689.3528 1.0000000
## 1972-1968 -1.794376e+01 -10724.817 10688.9294 1.0000000
## 1973-1968 -1.765527e+01 -10282.816 10247.5055 1.0000000
## 1974-1968 -1.799609e+01 -10283.157 10247.1647 1.0000000
## 1975-1968 -1.791823e+01 -10283.079 10247.2425 1.0000000
## 1976-1968 -1.841745e+01 -10283.578 10246.7433 1.0000000
## 1977-1968  4.079805e+03  -5362.770 13522.3795 0.9999922
## 1978-1968  3.370416e+03  -5948.720 12689.5533 1.0000000
## 1979-1968 -2.234849e+01  -9359.651  9314.9544 1.0000000
## 1980-1968 -2.787909e+01  -9253.354  9197.5957 1.0000000
## 1981-1968  2.957412e+03  -6361.725 12276.5487 1.0000000
## 1982-1968  2.852884e+03  -6466.253 12172.0205 1.0000000
## 1983-1968  2.792018e+03  -6527.119 12111.1544 1.0000000
## 1984-1968  2.756055e+03  -6563.081 12075.1923 1.0000000
## 1985-1968  2.675020e+03  -6644.117 11994.1564 1.0000000
## 1986-1968  2.555976e+03  -6763.161 11875.1124 1.0000000
## 1987-1968  2.622039e+03  -6775.247 12019.3251 1.0000000
## 1988-1968  2.369189e+03  -7028.098 11766.4747 1.0000000
## 1989-1968  2.108669e+03  -7288.617 11505.9554 1.0000000
## 1990-1968  1.734647e+03  -7519.434 10988.7283 1.0000000
## 1991-1968  1.210554e+03  -7856.667 10277.7761 1.0000000
## 1992-1968  1.232081e+03  -7835.140 10299.3029 1.0000000
## 1993-1968  1.313934e+03  -7753.288 10381.1552 1.0000000
## 1994-1968  1.380739e+03  -7678.497 10439.9757 1.0000000
## 1995-1968  1.012159e+03  -8098.994 10123.3110 1.0000000
## 1996-1968  8.064480e+02  -8260.774  9873.6696 1.0000000
## 1997-1968  1.810997e+02  -9175.239  9537.4389 1.0000000
## 1998-1968  1.307512e+02  -8980.401  9241.9035 1.0000000
## 1999-1968  1.413638e+02  -8861.778  9144.5054 1.0000000
## 2000-1968  1.577021e+02  -8833.265  9148.6690 1.0000000
## 2001-1968  1.716149e+02  -8831.527  9174.7564 1.0000000
## 2002-1968  1.700464e+02  -8833.095  9173.1880 1.0000000
## 2003-1968  1.745340e+02  -8816.433  9165.5009 1.0000000
## 2004-1968  2.140905e+02  -8801.904  9230.0845 1.0000000
## 2005-1968  2.513385e+02  -8739.628  9242.3054 1.0000000
## 2006-1968  2.865245e+02  -8710.448  9283.4974 1.0000000
## 2007-1968  2.898623e+02  -8713.279  9293.0039 1.0000000
## 2008-1968  2.387010e+02  -8764.441  9241.8425 1.0000000
## 2009-1968  1.610830e+02  -8743.661  9065.8266 1.0000000
## 2010-1968  1.622011e+02  -8767.358  9091.7606 1.0000000
## 2011-1968  1.452140e+02  -8771.528  9061.9559 1.0000000
## 2012-1968  1.569403e+02  -8763.979  9077.8597 1.0000000
## 2013-1968  1.466570e+02  -8811.356  9104.6697 1.0000000
## 2014-1968  1.292891e+02  -8775.454  9034.0327 1.0000000
## 2015-1968  1.187326e+02  -8774.756  9012.2210 1.0000000
## 1970-1969 -1.453047e+01 -11239.775 11210.7136 1.0000000
## 1971-1969 -1.751610e+01 -10724.389 10689.3570 1.0000000
## 1972-1969 -1.793952e+01 -10724.813 10688.9336 1.0000000
## 1973-1969 -1.765103e+01 -10282.812 10247.5097 1.0000000
## 1974-1969 -1.799185e+01 -10283.153 10247.1689 1.0000000
## 1975-1969 -1.791399e+01 -10283.075 10247.2468 1.0000000
## 1976-1969 -1.841321e+01 -10283.574 10246.7475 1.0000000
## 1977-1969  4.079809e+03  -5362.765 13522.3837 0.9999922
## 1978-1969  3.370421e+03  -5948.716 12689.5576 1.0000000
## 1979-1969 -2.234425e+01  -9359.647  9314.9586 1.0000000
## 1980-1969 -2.787485e+01  -9253.350  9197.6000 1.0000000
## 1981-1969  2.957416e+03  -6361.721 12276.5530 1.0000000
## 1982-1969  2.852888e+03  -6466.249 12172.0247 1.0000000
## 1983-1969  2.792022e+03  -6527.115 12111.1587 1.0000000
## 1984-1969  2.756060e+03  -6563.077 12075.1966 1.0000000
## 1985-1969  2.675024e+03  -6644.113 11994.1607 1.0000000
## 1986-1969  2.555980e+03  -6763.157 11875.1166 1.0000000
## 1987-1969  2.622043e+03  -6775.243 12019.3294 1.0000000
## 1988-1969  2.369193e+03  -7028.093 11766.4789 1.0000000
## 1989-1969  2.108674e+03  -7288.613 11505.9597 1.0000000
## 1990-1969  1.734652e+03  -7519.429 10988.7326 1.0000000
## 1991-1969  1.210559e+03  -7856.663 10277.7803 1.0000000
## 1992-1969  1.232085e+03  -7835.136 10299.3071 1.0000000
## 1993-1969  1.313938e+03  -7753.284 10381.1595 1.0000000
## 1994-1969  1.380744e+03  -7678.493 10439.9800 1.0000000
## 1995-1969  1.012163e+03  -8098.989 10123.3153 1.0000000
## 1996-1969  8.064522e+02  -8260.769  9873.6739 1.0000000
## 1997-1969  1.811039e+02  -9175.235  9537.4431 1.0000000
## 1998-1969  1.307554e+02  -8980.397  9241.9077 1.0000000
## 1999-1969  1.413680e+02  -8861.774  9144.5096 1.0000000
## 2000-1969  1.577063e+02  -8833.261  9148.6732 1.0000000
## 2001-1969  1.716191e+02  -8831.522  9174.7607 1.0000000
## 2002-1969  1.700506e+02  -8833.091  9173.1922 1.0000000
## 2003-1969  1.745382e+02  -8816.429  9165.5051 1.0000000
## 2004-1969  2.140947e+02  -8801.899  9230.0888 1.0000000
## 2005-1969  2.513428e+02  -8739.624  9242.3097 1.0000000
## 2006-1969  2.865287e+02  -8710.444  9283.5016 1.0000000
## 2007-1969  2.898666e+02  -8713.275  9293.0081 1.0000000
## 2008-1969  2.387052e+02  -8764.436  9241.8468 1.0000000
## 2009-1969  1.610873e+02  -8743.656  9065.8309 1.0000000
## 2010-1969  1.622053e+02  -8767.354  9091.7648 1.0000000
## 2011-1969  1.452182e+02  -8771.524  9061.9602 1.0000000
## 2012-1969  1.569446e+02  -8763.975  9077.8639 1.0000000
## 2013-1969  1.466612e+02  -8811.352  9104.6739 1.0000000
## 2014-1969  1.292934e+02  -8775.450  9034.0370 1.0000000
## 2015-1969  1.187368e+02  -8774.752  9012.2253 1.0000000
## 1971-1970 -2.985626e+00  -9736.507  9730.5354 1.0000000
## 1972-1970 -3.409050e+00  -9736.930  9730.1120 1.0000000
## 1973-1970 -3.120556e+00  -9248.542  9242.3013 1.0000000
## 1974-1970 -3.461374e+00  -9248.883  9241.9605 1.0000000
## 1975-1970 -3.383513e+00  -9248.805  9242.0383 1.0000000
## 1976-1970 -3.882737e+00  -9249.305  9241.5391 1.0000000
## 1977-1970  4.094340e+03  -4228.311 12416.9903 0.9996853
## 1978-1970  3.384951e+03  -4797.384 11567.2865 0.9999981
## 1979-1970 -7.813774e+00  -8210.833  8195.2054 1.0000000
## 1980-1970 -1.334438e+01  -8088.843  8062.1547 1.0000000
## 1981-1970  2.971947e+03  -5210.389 11154.2819 1.0000000
## 1982-1970  2.867418e+03  -5314.917 11049.7537 1.0000000
## 1983-1970  2.806552e+03  -5375.783 10988.8876 1.0000000
## 1984-1970  2.770590e+03  -5411.745 10952.9255 1.0000000
## 1985-1970  2.689554e+03  -5492.781 10871.8896 1.0000000
## 1986-1970  2.570510e+03  -5611.825 10752.8456 1.0000000
## 1987-1970  2.636574e+03  -5634.659 10907.8062 1.0000000
## 1988-1970  2.383723e+03  -5887.509 10654.9557 1.0000000
## 1989-1970  2.123204e+03  -6148.028 10394.4365 1.0000000
## 1990-1970  1.749182e+03  -6358.981  9857.3455 1.0000000
## 1991-1970  1.225089e+03  -6669.137  9119.3154 1.0000000
## 1992-1970  1.246616e+03  -6647.610  9140.8422 1.0000000
## 1993-1970  1.328468e+03  -6565.758  9222.6945 1.0000000
## 1994-1970  1.395274e+03  -6489.779  9280.3272 1.0000000
## 1995-1970  1.026693e+03  -6917.952  8971.3391 1.0000000
## 1996-1970  8.209827e+02  -7073.244  8715.2089 1.0000000
## 1997-1970  1.956344e+02  -8029.047  8420.3157 1.0000000
## 1998-1970  1.452859e+02  -7799.360  8089.9316 1.0000000
## 1999-1970  1.558985e+02  -7664.642  7976.4392 1.0000000
## 2000-1970  1.722368e+02  -7634.285  7978.7588 1.0000000
## 2001-1970  1.861496e+02  -7634.391  8006.6903 1.0000000
## 2002-1970  1.845811e+02  -7635.960  8005.1218 1.0000000
## 2003-1970  1.890687e+02  -7617.453  7995.5907 1.0000000
## 2004-1970  2.286252e+02  -7606.708  8063.9585 1.0000000
## 2005-1970  2.658732e+02  -7540.649  8072.3952 1.0000000
## 2006-1970  3.010592e+02  -7512.379  8114.4977 1.0000000
## 2007-1970  3.043970e+02  -7516.144  8124.9378 1.0000000
## 2008-1970  2.532357e+02  -7567.305  8073.7764 1.0000000
## 2009-1970  1.756177e+02  -7531.441  7882.6767 1.0000000
## 2010-1970  1.767358e+02  -7558.982  7912.4537 1.0000000
## 2011-1970  1.597487e+02  -7561.170  7880.6674 1.0000000
## 2012-1970  1.714750e+02  -7554.268  7897.2178 1.0000000
## 2013-1970  1.611917e+02  -7607.353  7929.7367 1.0000000
## 2014-1970  1.438238e+02  -7563.235  7850.8828 1.0000000
## 2015-1970  1.332673e+02  -7560.785  7827.3193 1.0000000
## 1972-1971 -4.234236e-01  -9131.275  9130.4286 1.0000000
## 1973-1971 -1.349298e-01  -8608.785  8608.5150 1.0000000
## 1974-1971 -4.757478e-01  -8609.126  8608.1741 1.0000000
## 1975-1971 -3.978871e-01  -8609.048  8608.2520 1.0000000
## 1976-1971 -8.971109e-01  -8609.547  8607.7528 1.0000000
## 1977-1971  4.097325e+03  -3511.718 11706.3687 0.9972635
## 1978-1971  3.387937e+03  -4067.373 10843.2463 0.9999645
## 1979-1971 -4.828148e+00  -7482.833  7473.1764 1.0000000
## 1980-1971 -1.035875e+01  -7348.254  7327.5370 1.0000000
## 1981-1971  2.974932e+03  -4480.377 10430.2417 0.9999994
## 1982-1971  2.870404e+03  -4584.906 10325.7135 0.9999998
## 1983-1971  2.809538e+03  -4645.772 10264.8474 0.9999999
## 1984-1971  2.773576e+03  -4681.734 10228.8853 0.9999999
## 1985-1971  2.692540e+03  -4762.770 10147.8494 1.0000000
## 1986-1971  2.573496e+03  -4881.814 10028.8054 1.0000000
## 1987-1971  2.639559e+03  -4913.209 10192.3280 1.0000000
## 1988-1971  2.386709e+03  -5166.060  9939.4775 1.0000000
## 1989-1971  2.126190e+03  -5426.579  9678.9583 1.0000000
## 1990-1971  1.752168e+03  -5621.661  9125.9959 1.0000000
## 1991-1971  1.228075e+03  -5909.841  8365.9902 1.0000000
## 1992-1971  1.249602e+03  -5888.314  8387.5170 1.0000000
## 1993-1971  1.331454e+03  -5806.461  8469.3693 1.0000000
## 1994-1971  1.398260e+03  -5729.509  8526.0288 1.0000000
## 1995-1971  1.029679e+03  -6163.959  8223.3168 1.0000000
## 1996-1971  8.239683e+02  -6313.947  7961.8837 1.0000000
## 1997-1971  1.986200e+02  -7303.140  7700.3805 1.0000000
## 1998-1971  1.482715e+02  -7045.366  7341.9092 1.0000000
## 1999-1971  1.588841e+02  -6897.452  7215.2207 1.0000000
## 2000-1971  1.752224e+02  -6865.574  7216.0188 1.0000000
## 2001-1971  1.891352e+02  -6867.201  7245.4718 1.0000000
## 2002-1971  1.875667e+02  -6868.770  7243.9033 1.0000000
## 2003-1971  1.920543e+02  -6848.742  7232.8507 1.0000000
## 2004-1971  2.316108e+02  -6841.117  7304.3385 1.0000000
## 2005-1971  2.688589e+02  -6771.938  7309.6552 1.0000000
## 2006-1971  3.040448e+02  -6744.419  7352.5091 1.0000000
## 2007-1971  3.073827e+02  -6748.954  7363.7192 1.0000000
## 2008-1971  2.562213e+02  -6800.115  7312.5579 1.0000000
## 2009-1971  1.786034e+02  -6751.749  7108.9559 1.0000000
## 2010-1971  1.797214e+02  -6782.488  7141.9309 1.0000000
## 2011-1971  1.627343e+02  -6783.028  7108.4967 1.0000000
## 2012-1971  1.744607e+02  -6776.664  7125.5850 1.0000000
## 2013-1971  1.641773e+02  -6834.488  7162.8429 1.0000000
## 2014-1971  1.468095e+02  -6783.543  7077.1620 1.0000000
## 2015-1971  1.362529e+02  -6779.632  7052.1378 1.0000000
## 1973-1972  2.884939e-01  -8608.361  8608.9384 1.0000000
## 1974-1972 -5.232422e-02  -8608.702  8608.5976 1.0000000
## 1975-1972  2.553648e-02  -8608.624  8608.6754 1.0000000
## 1976-1972 -4.736873e-01  -8609.124  8608.1762 1.0000000
## 1977-1972  4.097749e+03  -3511.295 11706.7921 0.9972573
## 1978-1972  3.388360e+03  -4066.949 10843.6697 0.9999644
## 1979-1972 -4.404725e+00  -7482.409  7473.5998 1.0000000
## 1980-1972 -9.935329e+00  -7347.831  7327.9604 1.0000000
## 1981-1972  2.975356e+03  -4479.954 10430.6651 0.9999994
## 1982-1972  2.870827e+03  -4584.482 10326.1369 0.9999998
## 1983-1972  2.809961e+03  -4645.348 10265.2708 0.9999999
## 1984-1972  2.773999e+03  -4681.310 10229.3087 0.9999999
## 1985-1972  2.692963e+03  -4762.346 10148.2728 1.0000000
## 1986-1972  2.573919e+03  -4881.390 10029.2288 1.0000000
## 1987-1972  2.639983e+03  -4912.786 10192.7514 1.0000000
## 1988-1972  2.387132e+03  -5165.636  9939.9010 1.0000000
## 1989-1972  2.126613e+03  -5426.156  9679.3817 1.0000000
## 1990-1972  1.752591e+03  -5621.237  9126.4193 1.0000000
## 1991-1972  1.228498e+03  -5909.417  8366.4136 1.0000000
## 1992-1972  1.250025e+03  -5887.890  8387.9404 1.0000000
## 1993-1972  1.331877e+03  -5806.038  8469.7928 1.0000000
## 1994-1972  1.398683e+03  -5729.086  8526.4522 1.0000000
## 1995-1972  1.030103e+03  -6163.535  8223.7402 1.0000000
## 1996-1972  8.243917e+02  -6313.524  7962.3071 1.0000000
## 1997-1972  1.990435e+02  -7302.717  7700.8039 1.0000000
## 1998-1972  1.486950e+02  -7044.943  7342.3326 1.0000000
## 1999-1972  1.593076e+02  -6897.029  7215.6441 1.0000000
## 2000-1972  1.756458e+02  -6865.151  7216.4422 1.0000000
## 2001-1972  1.895587e+02  -6866.778  7245.8952 1.0000000
## 2002-1972  1.879902e+02  -6868.346  7244.3267 1.0000000
## 2003-1972  1.924777e+02  -6848.319  7233.2741 1.0000000
## 2004-1972  2.320343e+02  -6840.693  7304.7619 1.0000000
## 2005-1972  2.692823e+02  -6771.514  7310.0787 1.0000000
## 2006-1972  3.044682e+02  -6743.996  7352.9326 1.0000000
## 2007-1972  3.078061e+02  -6748.530  7364.1426 1.0000000
## 2008-1972  2.566447e+02  -6799.692  7312.9813 1.0000000
## 2009-1972  1.790268e+02  -6751.326  7109.3793 1.0000000
## 2010-1972  1.801448e+02  -6782.065  7142.3543 1.0000000
## 2011-1972  1.631578e+02  -6782.605  7108.9201 1.0000000
## 2012-1972  1.748841e+02  -6776.240  7126.0084 1.0000000
## 2013-1972  1.646007e+02  -6834.065  7163.2663 1.0000000
## 2014-1972  1.472329e+02  -6783.120  7077.5854 1.0000000
## 2015-1972  1.366764e+02  -6779.209  7052.5613 1.0000000
## 1974-1973 -3.408181e-01  -8052.995  8052.3138 1.0000000
## 1975-1973 -2.629574e-01  -8052.918  8052.3917 1.0000000
## 1976-1973 -7.621812e-01  -8053.417  8051.8924 1.0000000
## 1977-1973  4.097460e+03  -2876.343 11071.2637 0.9843262
## 1978-1973  3.388072e+03  -3417.664 10193.8070 0.9995734
## 1979-1973 -4.693219e+00  -6835.282  6825.8957 1.0000000
## 1980-1973 -1.022382e+01  -6687.132  6666.6847 1.0000000
## 1981-1973  2.975067e+03  -3830.668  9780.8024 0.9999889
## 1982-1973  2.870539e+03  -3935.196  9676.2742 0.9999964
## 1983-1973  2.809673e+03  -3996.062  9615.4082 0.9999982
## 1984-1973  2.773711e+03  -4032.025  9579.4460 0.9999988
## 1985-1973  2.692675e+03  -4113.060  9498.4101 0.9999996
## 1986-1973  2.573631e+03  -4232.105  9379.3661 0.9999999
## 1987-1973  2.639694e+03  -4272.665  9552.0533 0.9999999
## 1988-1973  2.386844e+03  -4525.515  9299.2029 1.0000000
## 1989-1973  2.126325e+03  -4786.034  9038.6836 1.0000000
## 1990-1973  1.752303e+03  -4964.076  8468.6808 1.0000000
## 1991-1973  1.228210e+03  -5228.278  7684.6971 1.0000000
## 1992-1973  1.249736e+03  -5206.751  7706.2239 1.0000000
## 1993-1973  1.331589e+03  -5124.899  7788.0763 1.0000000
## 1994-1973  1.398395e+03  -5046.874  7843.6631 1.0000000
## 1995-1973  1.029814e+03  -5488.224  7547.8518 1.0000000
## 1996-1973  8.241032e+02  -5632.384  7280.5907 1.0000000
## 1997-1973  1.987550e+02  -6657.833  7055.3433 1.0000000
## 1998-1973  1.484065e+02  -6369.631  6666.4442 1.0000000
## 1999-1973  1.590191e+02  -6207.163  6525.2015 1.0000000
## 2000-1973  1.753573e+02  -6173.596  6524.3106 1.0000000
## 2001-1973  1.892702e+02  -6176.912  6555.4526 1.0000000
## 2002-1973  1.877017e+02  -6178.481  6553.8841 1.0000000
## 2003-1973  1.921892e+02  -6156.764  6541.1425 1.0000000
## 2004-1973  2.317458e+02  -6152.600  6616.0914 1.0000000
## 2005-1973  2.689938e+02  -6079.959  6617.9470 1.0000000
## 2006-1973  3.041797e+02  -6053.276  6661.6354 1.0000000
## 2007-1973  3.075176e+02  -6058.665  6673.7000 1.0000000
## 2008-1973  2.563562e+02  -6109.826  6622.5387 1.0000000
## 2009-1973  1.787383e+02  -6047.511  6404.9875 1.0000000
## 2010-1973  1.798564e+02  -6081.833  6441.5457 1.0000000
## 2011-1973  1.628693e+02  -6080.528  6406.2664 1.0000000
## 2012-1973  1.745956e+02  -6074.766  6423.9574 1.0000000
## 2013-1973  1.643122e+02  -6137.887  6466.5113 1.0000000
## 2014-1973  1.469444e+02  -6079.305  6373.1937 1.0000000
## 2015-1973  1.363879e+02  -6073.754  6346.5293 1.0000000
## 1975-1974  7.786070e-02  -8052.577  8052.7325 1.0000000
## 1976-1974 -4.213631e-01  -8053.076  8052.2333 1.0000000
## 1977-1974  4.097801e+03  -2876.002 11071.6045 0.9843026
## 1978-1974  3.388413e+03  -3417.323 10194.1479 0.9995723
## 1979-1974 -4.352400e+00  -6834.941  6826.2366 1.0000000
## 1980-1974 -9.883005e+00  -6686.791  6667.0255 1.0000000
## 1981-1974  2.975408e+03  -3830.327  9781.1432 0.9999888
## 1982-1974  2.870880e+03  -3934.856  9676.6150 0.9999963
## 1983-1974  2.810014e+03  -3995.722  9615.7490 0.9999982
## 1984-1974  2.774052e+03  -4031.684  9579.7868 0.9999988
## 1985-1974  2.693016e+03  -4112.720  9498.7509 0.9999996
## 1986-1974  2.573972e+03  -4231.764  9379.7069 0.9999999
## 1987-1974  2.640035e+03  -4272.324  9552.3941 0.9999999
## 1988-1974  2.387185e+03  -4525.174  9299.5437 1.0000000
## 1989-1974  2.126665e+03  -4785.694  9039.0245 1.0000000
## 1990-1974  1.752643e+03  -4963.735  8469.0216 1.0000000
## 1991-1974  1.228550e+03  -5227.937  7685.0379 1.0000000
## 1992-1974  1.250077e+03  -5206.410  7706.5647 1.0000000
## 1993-1974  1.331930e+03  -5124.558  7788.4171 1.0000000
## 1994-1974  1.398735e+03  -5046.533  7844.0039 1.0000000
## 1995-1974  1.030155e+03  -5487.883  7548.1926 1.0000000
## 1996-1974  8.244441e+02  -5632.043  7280.9315 1.0000000
## 1997-1974  1.990958e+02  -6657.493  7055.6841 1.0000000
## 1998-1974  1.487473e+02  -6369.291  6666.7851 1.0000000
## 1999-1974  1.593599e+02  -6206.823  6525.5423 1.0000000
## 2000-1974  1.756981e+02  -6173.255  6524.6514 1.0000000
## 2001-1974  1.896110e+02  -6176.571  6555.7934 1.0000000
## 2002-1974  1.880425e+02  -6178.140  6554.2249 1.0000000
## 2003-1974  1.925300e+02  -6156.423  6541.4833 1.0000000
## 2004-1974  2.320866e+02  -6152.259  6616.4322 1.0000000
## 2005-1974  2.693346e+02  -6079.619  6618.2878 1.0000000
## 2006-1974  3.045206e+02  -6052.935  6661.9762 1.0000000
## 2007-1974  3.078584e+02  -6058.324  6674.0409 1.0000000
## 2008-1974  2.566971e+02  -6109.485  6622.8795 1.0000000
## 2009-1974  1.790791e+02  -6047.170  6405.3284 1.0000000
## 2010-1974  1.801972e+02  -6081.492  6441.8865 1.0000000
## 2011-1974  1.632101e+02  -6080.187  6406.6072 1.0000000
## 2012-1974  1.749364e+02  -6074.425  6424.2982 1.0000000
## 2013-1974  1.646530e+02  -6137.546  6466.8521 1.0000000
## 2014-1974  1.472852e+02  -6078.964  6373.5345 1.0000000
## 2015-1974  1.367287e+02  -6073.413  6346.8702 1.0000000
## 1976-1975 -4.992238e-01  -8053.154  8052.1554 1.0000000
## 1977-1975  4.097723e+03  -2876.080 11071.5266 0.9843080
## 1978-1975  3.388335e+03  -3417.401 10194.0700 0.9995726
## 1979-1975 -4.430261e+00  -6835.019  6826.1587 1.0000000
## 1980-1975 -9.960866e+00  -6686.869  6666.9476 1.0000000
## 1981-1975  2.975330e+03  -3830.405  9781.0654 0.9999888
## 1982-1975  2.870802e+03  -3934.933  9676.5372 0.9999964
## 1983-1975  2.809936e+03  -3995.800  9615.6711 0.9999982
## 1984-1975  2.773974e+03  -4031.762  9579.7090 0.9999988
## 1985-1975  2.692938e+03  -4112.798  9498.6731 0.9999996
## 1986-1975  2.573894e+03  -4231.842  9379.6291 0.9999999
## 1987-1975  2.639957e+03  -4272.402  9552.3163 0.9999999
## 1988-1975  2.387107e+03  -4525.252  9299.4658 1.0000000
## 1989-1975  2.126588e+03  -4785.772  9038.9466 1.0000000
## 1990-1975  1.752566e+03  -4963.813  8468.9438 1.0000000
## 1991-1975  1.228473e+03  -5228.015  7684.9601 1.0000000
## 1992-1975  1.249999e+03  -5206.488  7706.4869 1.0000000
## 1993-1975  1.331852e+03  -5124.636  7788.3392 1.0000000
## 1994-1975  1.398658e+03  -5046.611  7843.9260 1.0000000
## 1995-1975  1.030077e+03  -5487.961  7548.1148 1.0000000
## 1996-1975  8.243662e+02  -5632.121  7280.8536 1.0000000
## 1997-1975  1.990179e+02  -6657.570  7055.6063 1.0000000
## 1998-1975  1.486694e+02  -6369.368  6666.7072 1.0000000
## 1999-1975  1.592820e+02  -6206.900  6525.4645 1.0000000
## 2000-1975  1.756203e+02  -6173.333  6524.5735 1.0000000
## 2001-1975  1.895331e+02  -6176.649  6555.7156 1.0000000
## 2002-1975  1.879646e+02  -6178.218  6554.1471 1.0000000
## 2003-1975  1.924522e+02  -6156.501  6541.4054 1.0000000
## 2004-1975  2.320087e+02  -6152.337  6616.3544 1.0000000
## 2005-1975  2.692567e+02  -6079.696  6618.2100 1.0000000
## 2006-1975  3.044427e+02  -6053.013  6661.8984 1.0000000
## 2007-1975  3.077806e+02  -6058.402  6673.9630 1.0000000
## 2008-1975  2.566192e+02  -6109.563  6622.8016 1.0000000
## 2009-1975  1.790012e+02  -6047.248  6405.2505 1.0000000
## 2010-1975  1.801193e+02  -6081.570  6441.8087 1.0000000
## 2011-1975  1.631322e+02  -6080.265  6406.5294 1.0000000
## 2012-1975  1.748585e+02  -6074.503  6424.2204 1.0000000
## 2013-1975  1.645752e+02  -6137.624  6466.7743 1.0000000
## 2014-1975  1.472074e+02  -6079.042  6373.4566 1.0000000
## 2015-1975  1.366508e+02  -6073.491  6346.7923 1.0000000
## 1977-1976  4.098222e+03  -2875.581 11072.0259 0.9842735
## 1978-1976  3.388834e+03  -3416.901 10194.5692 0.9995710
## 1979-1976 -3.931037e+00  -6834.520  6826.6579 1.0000000
## 1980-1976 -9.461642e+00  -6686.370  6667.4468 1.0000000
## 1981-1976  2.975829e+03  -3829.906  9781.5646 0.9999888
## 1982-1976  2.871301e+03  -3934.434  9677.0364 0.9999963
## 1983-1976  2.810435e+03  -3995.300  9616.1703 0.9999982
## 1984-1976  2.774473e+03  -4031.262  9580.2082 0.9999988
## 1985-1976  2.693437e+03  -4112.298  9499.1723 0.9999996
## 1986-1976  2.574393e+03  -4231.342  9380.1283 0.9999999
## 1987-1976  2.640456e+03  -4271.903  9552.8155 0.9999999
## 1988-1976  2.387606e+03  -4524.753  9299.9650 1.0000000
## 1989-1976  2.127087e+03  -4785.272  9039.4458 1.0000000
## 1990-1976  1.753065e+03  -4963.313  8469.4430 1.0000000
## 1991-1976  1.228972e+03  -5227.516  7685.4593 1.0000000
## 1992-1976  1.250499e+03  -5205.989  7706.9861 1.0000000
## 1993-1976  1.332351e+03  -5124.136  7788.8384 1.0000000
## 1994-1976  1.399157e+03  -5046.112  7844.4252 1.0000000
## 1995-1976  1.030576e+03  -5487.462  7548.6140 1.0000000
## 1996-1976  8.248654e+02  -5631.622  7281.3528 1.0000000
## 1997-1976  1.995171e+02  -6657.071  7056.1055 1.0000000
## 1998-1976  1.491686e+02  -6368.869  6667.2064 1.0000000
## 1999-1976  1.597812e+02  -6206.401  6525.9637 1.0000000
## 2000-1976  1.761195e+02  -6172.834  6525.0727 1.0000000
## 2001-1976  1.900323e+02  -6176.150  6556.2148 1.0000000
## 2002-1976  1.884638e+02  -6177.719  6554.6463 1.0000000
## 2003-1976  1.929514e+02  -6156.002  6541.9046 1.0000000
## 2004-1976  2.325080e+02  -6151.838  6616.8536 1.0000000
## 2005-1976  2.697560e+02  -6079.197  6618.7092 1.0000000
## 2006-1976  3.049419e+02  -6052.514  6662.3976 1.0000000
## 2007-1976  3.082798e+02  -6057.903  6674.4622 1.0000000
## 2008-1976  2.571184e+02  -6109.064  6623.3009 1.0000000
## 2009-1976  1.795005e+02  -6046.749  6405.7497 1.0000000
## 2010-1976  1.806185e+02  -6081.071  6442.3079 1.0000000
## 2011-1976  1.636315e+02  -6079.766  6407.0286 1.0000000
## 2012-1976  1.753578e+02  -6074.004  6424.7196 1.0000000
## 2013-1976  1.650744e+02  -6137.125  6467.2735 1.0000000
## 2014-1976  1.477066e+02  -6078.543  6373.9558 1.0000000
## 2015-1976  1.371501e+02  -6072.991  6347.2915 1.0000000
## 1978-1977 -7.093885e+02  -6196.348  4777.5708 1.0000000
## 1979-1977 -4.102153e+03  -9619.910  1415.6028 0.6762779
## 1980-1977 -4.107684e+03  -9434.014  1218.6463 0.5771989
## 1981-1977 -1.122393e+03  -6609.352  4364.5661 1.0000000
## 1982-1977 -1.226921e+03  -6713.881  4260.0379 1.0000000
## 1983-1977 -1.287787e+03  -6774.747  4199.1719 1.0000000
## 1984-1977 -1.323749e+03  -6810.709  4163.2097 1.0000000
## 1985-1977 -1.404785e+03  -6891.745  4082.1738 1.0000000
## 1986-1977 -1.523829e+03  -7010.789  3963.1298 1.0000000
## 1987-1977 -1.457766e+03  -7076.431  4160.8990 1.0000000
## 1988-1977 -1.710616e+03  -7329.281  3908.0486 1.0000000
## 1989-1977 -1.971136e+03  -7589.801  3647.5294 1.0000000
## 1990-1977 -2.345158e+03  -7720.883  3030.5679 0.9999895
## 1991-1977 -2.869251e+03  -7916.519  2178.0179 0.9915710
## 1992-1977 -2.847724e+03  -7894.992  2199.5447 0.9927336
## 1993-1977 -2.765871e+03  -7813.140  2281.3970 0.9960073
## 1994-1977 -2.699066e+03  -7731.975  2333.8435 0.9974994
## 1995-1977 -3.067646e+03  -8193.415  2058.1225 0.9783091
## 1996-1977 -3.273357e+03  -8320.625  1773.9114 0.9251625
## 1997-1977 -3.898705e+03  -9448.614  1651.2039 0.8063930
## 1998-1977 -3.949054e+03  -9074.822  1176.7150 0.5800008
## 1999-1977 -3.938441e+03  -8869.665   992.7826 0.4779756
## 2000-1977 -3.922103e+03  -8831.064   986.8579 0.4769308
## 2001-1977 -3.908190e+03  -8839.414  1023.0337 0.4999065
## 2002-1977 -3.909759e+03  -8840.982  1021.4652 0.4987643
## 2003-1977 -3.905271e+03  -8814.232  1003.6898 0.4891557
## 2004-1977 -3.865714e+03  -8820.365  1088.9357 0.5444449
## 2005-1977 -3.828466e+03  -8737.427  1080.4943 0.5456286
## 2006-1977 -3.793280e+03  -8713.233  1126.6719 0.5779394
## 2007-1977 -3.789943e+03  -8721.166  1141.2811 0.5867889
## 2008-1977 -3.841104e+03  -8772.328  1090.1198 0.5491088
## 2009-1977 -3.918722e+03  -8667.919   830.4747 0.3869429
## 2010-1977 -3.917604e+03  -8713.169   877.9610 0.4144324
## 2011-1977 -3.934591e+03  -8706.246   837.0645 0.3887853
## 2012-1977 -3.922865e+03  -8702.322   856.5926 0.4014321
## 2013-1977 -3.933148e+03  -8781.488   915.1921 0.4339068
## 2014-1977 -3.950516e+03  -8699.712   798.6808 0.3651505
## 2015-1977 -3.961072e+03  -8689.132   766.9870 0.3462890
## 1979-1978 -3.392765e+03  -8696.512  1910.9821 0.9381952
## 1980-1978 -3.398296e+03  -8502.597  1706.0059 0.8946254
## 1981-1978 -4.130046e+02  -5684.705  4858.6953 1.0000000
## 1982-1978 -5.175328e+02  -5789.233  4754.1671 1.0000000
## 1983-1978 -5.783989e+02  -5850.099  4693.3010 1.0000000
## 1984-1978 -6.143610e+02  -5886.061  4657.3389 1.0000000
## 1985-1978 -6.953969e+02  -5967.097  4576.3030 1.0000000
## 1986-1978 -8.144409e+02  -6086.141  4457.2590 1.0000000
## 1987-1978 -7.483775e+02  -6157.027  4660.2725 1.0000000
## 1988-1978 -1.001228e+03  -6409.878  4407.4220 1.0000000
## 1989-1978 -1.261747e+03  -6670.397  4146.9028 1.0000000
## 1990-1978 -1.635769e+03  -6791.593  3520.0550 1.0000000
## 1991-1978 -2.159862e+03  -6972.244  2652.5195 0.9999754
## 1992-1978 -2.138335e+03  -6950.717  2674.0463 0.9999817
## 1993-1978 -2.056483e+03  -6868.864  2755.8987 0.9999945
## 1994-1978 -1.989677e+03  -6786.996  2807.6422 0.9999979
## 1995-1978 -2.358258e+03  -7252.908  2536.3928 0.9998181
## 1996-1978 -2.563968e+03  -7376.350  2248.4131 0.9978388
## 1997-1978 -3.189317e+03  -8526.506  2147.8726 0.9788715
## 1998-1978 -3.239665e+03  -8134.316  1654.9852 0.9021331
## 1999-1978 -3.229053e+03  -7919.582  1461.4767 0.8438284
## 2000-1978 -3.212714e+03  -7879.833  1454.4040 0.8439474
## 2001-1978 -3.198802e+03  -7889.331  1491.7278 0.8595178
## 2002-1978 -3.200370e+03  -7890.899  1490.1593 0.8587279
## 2003-1978 -3.195883e+03  -7863.001  1471.2359 0.8528351
## 2004-1978 -3.156326e+03  -7871.478  1558.8258 0.8872996
## 2005-1978 -3.119078e+03  -7786.196  1548.0404 0.8895356
## 2006-1978 -3.083892e+03  -7762.570  1594.7862 0.9072057
## 2007-1978 -3.080554e+03  -7771.084  1609.9752 0.9114610
## 2008-1978 -3.131715e+03  -7822.245  1558.8139 0.8908361
## 2009-1978 -3.209333e+03  -7708.107  1289.4405 0.7745418
## 2010-1978 -3.208215e+03  -7755.912  1339.4808 0.7979222
## 2011-1978 -3.225202e+03  -7747.679  1297.2741 0.7752375
## 2012-1978 -3.213476e+03  -7744.184  1317.2313 0.7868375
## 2013-1978 -3.223760e+03  -7827.074  1379.5545 0.8124437
## 2014-1978 -3.241127e+03  -7739.901  1257.6466 0.7526954
## 2015-1978 -3.251684e+03  -7728.138  1224.7705 0.7336461
## 1980-1979 -5.530605e+00  -5142.924  5131.8623 1.0000000
## 1981-1979  2.979760e+03  -2323.987  8283.5073 0.9933241
## 1982-1979  2.875232e+03  -2428.515  8178.9791 0.9968313
## 1983-1979  2.814366e+03  -2489.381  8118.1131 0.9980267
## 1984-1979  2.778404e+03  -2525.343  8082.1509 0.9985299
## 1985-1979  2.697368e+03  -2606.379  8001.1150 0.9992735
## 1986-1979  2.578324e+03  -2725.423  7882.0710 0.9997694
## 1987-1979  2.644387e+03  -2795.503  8084.2778 0.9997696
## 1988-1979  2.391537e+03  -3048.353  7831.4274 0.9999868
## 1989-1979  2.131018e+03  -3308.873  7570.9081 0.9999997
## 1990-1979  1.756996e+03  -3431.591  6945.5829 1.0000000
## 1991-1979  1.232903e+03  -3614.563  6080.3691 1.0000000
## 1992-1979  1.254430e+03  -3593.037  6101.8959 1.0000000
## 1993-1979  1.336282e+03  -3511.184  6183.7483 1.0000000
## 1994-1979  1.403088e+03  -3429.426  6235.6011 1.0000000
## 1995-1979  1.034507e+03  -3894.642  5963.6568 1.0000000
## 1996-1979  8.287965e+02  -4018.670  5676.2627 1.0000000
## 1997-1979  2.034482e+02  -5165.397  5572.2938 1.0000000
## 1998-1979  1.530997e+02  -4776.050  5082.2493 1.0000000
## 1999-1979  1.637123e+02  -4562.806  4890.2309 1.0000000
## 2000-1979  1.800505e+02  -4523.236  4883.3373 1.0000000
## 2001-1979  1.939634e+02  -4532.555  4920.4820 1.0000000
## 2002-1979  1.923949e+02  -4534.124  4918.9135 1.0000000
## 2003-1979  1.968824e+02  -4506.404  4900.1692 1.0000000
## 2004-1979  2.364390e+02  -4514.515  4987.3935 1.0000000
## 2005-1979  2.736870e+02  -4429.600  4976.9738 1.0000000
## 2006-1979  3.088730e+02  -4405.885  5023.6308 1.0000000
## 2007-1979  3.122108e+02  -4414.308  5038.7294 1.0000000
## 2008-1979  2.610495e+02  -4465.469  4987.5681 1.0000000
## 2009-1979  1.834315e+02  -4352.853  4719.7162 1.0000000
## 2010-1979  1.845496e+02  -4400.257  4769.3563 1.0000000
## 2011-1979  1.675625e+02  -4392.230  4727.3549 1.0000000
## 2012-1979  1.792888e+02  -4388.667  4747.2449 1.0000000
## 2013-1979  1.690054e+02  -4470.974  4808.9853 1.0000000
## 2014-1979  1.516376e+02  -4384.647  4687.9223 1.0000000
## 2015-1979  1.410811e+02  -4373.070  4655.2318 1.0000000
## 1981-1980  2.985291e+03  -2119.011  8089.5924 0.9855801
## 1982-1980  2.880763e+03  -2223.539  7985.0642 0.9926904
## 1983-1980  2.819897e+03  -2284.405  7924.1982 0.9952661
## 1984-1980  2.783935e+03  -2320.367  7888.2360 0.9963895
## 1985-1980  2.702899e+03  -2401.403  7807.2001 0.9981176
## 1986-1980  2.583855e+03  -2520.447  7688.1561 0.9993521
## 1987-1980  2.649918e+03  -2595.706  7895.5418 0.9993843
## 1988-1980  2.397068e+03  -2848.556  7642.6914 0.9999583
## 1989-1980  2.136548e+03  -3109.075  7382.1721 0.9999988
## 1990-1980  1.762526e+03  -3222.009  6747.0622 1.0000000
## 1991-1980  1.238434e+03  -3389.967  5866.8339 1.0000000
## 1992-1980  1.259960e+03  -3368.440  5888.3607 1.0000000
## 1993-1980  1.341813e+03  -3286.588  5970.2131 1.0000000
## 1994-1980  1.408618e+03  -3204.119  6021.3558 1.0000000
## 1995-1980  1.040038e+03  -3673.843  5753.9192 1.0000000
## 1996-1980  8.343271e+02  -3794.073  5462.7275 1.0000000
## 1997-1980  2.089788e+02  -4962.932  5380.8899 1.0000000
## 1998-1980  1.586303e+02  -4555.251  4872.5116 1.0000000
## 1999-1980  1.692429e+02  -4332.328  4670.8137 1.0000000
## 2000-1980  1.855812e+02  -4291.591  4662.7530 1.0000000
## 2001-1980  1.994940e+02  -4302.077  4701.0648 1.0000000
## 2002-1980  1.979255e+02  -4303.645  4699.4963 1.0000000
## 2003-1980  2.024130e+02  -4274.759  4679.5849 1.0000000
## 2004-1980  2.419696e+02  -4285.251  4769.1906 1.0000000
## 2005-1980  2.792176e+02  -4197.954  4756.3894 1.0000000
## 2006-1980  3.144036e+02  -4174.817  4803.6243 1.0000000
## 2007-1980  3.177414e+02  -4183.829  4819.3122 1.0000000
## 2008-1980  2.665801e+02  -4234.991  4768.1508 1.0000000
## 2009-1980  1.889621e+02  -4112.438  4490.3619 1.0000000
## 2010-1980  1.900802e+02  -4162.461  4542.6213 1.0000000
## 2011-1980  1.730931e+02  -4153.091  4499.2771 1.0000000
## 2012-1980  1.848194e+02  -4149.968  4519.6070 1.0000000
## 2013-1980  1.745361e+02  -4236.085  4585.1566 1.0000000
## 2014-1980  1.571682e+02  -4144.232  4458.5680 1.0000000
## 2015-1980  1.466117e+02  -4131.439  4424.6624 1.0000000
## 1982-1981 -1.045282e+02  -5376.228  5167.1717 1.0000000
## 1983-1981 -1.653943e+02  -5437.094  5106.3056 1.0000000
## 1984-1981 -2.013564e+02  -5473.056  5070.3435 1.0000000
## 1985-1981 -2.823923e+02  -5554.092  4989.3076 1.0000000
## 1986-1981 -4.014363e+02  -5673.136  4870.2636 1.0000000
## 1987-1981 -3.353728e+02  -5744.023  5073.2771 1.0000000
## 1988-1981 -5.882233e+02  -5996.873  4820.4267 1.0000000
## 1989-1981 -8.487425e+02  -6257.393  4559.9074 1.0000000
## 1990-1981 -1.222765e+03  -6378.589  3933.0597 1.0000000
## 1991-1981 -1.746857e+03  -6559.239  3065.5242 1.0000000
## 1992-1981 -1.725331e+03  -6537.712  3087.0510 1.0000000
## 1993-1981 -1.643478e+03  -6455.860  3168.9033 1.0000000
## 1994-1981 -1.576673e+03  -6373.992  3220.6468 1.0000000
## 1995-1981 -1.945253e+03  -6839.904  2949.3974 0.9999995
## 1996-1981 -2.150964e+03  -6963.345  2661.4177 0.9999782
## 1997-1981 -2.776312e+03  -8113.502  2560.8772 0.9987524
## 1998-1981 -2.826661e+03  -7721.311  2067.9898 0.9885975
## 1999-1981 -2.816048e+03  -7506.577  1874.4813 0.9771017
## 2000-1981 -2.799710e+03  -7466.828  1867.4086 0.9774185
## 2001-1981 -2.785797e+03  -7476.326  1904.7324 0.9810084
## 2002-1981 -2.787365e+03  -7477.895  1903.1639 0.9808199
## 2003-1981 -2.782878e+03  -7449.996  1884.2405 0.9796494
## 2004-1981 -2.743321e+03  -7458.473  1971.8304 0.9869003
## 2005-1981 -2.706073e+03  -7373.192  1961.0450 0.9877091
## 2006-1981 -2.670887e+03  -7349.566  2007.7908 0.9908552
## 2007-1981 -2.667550e+03  -7358.079  2022.9798 0.9915030
## 2008-1981 -2.718711e+03  -7409.240  1971.8185 0.9877878
## 2009-1981 -2.796329e+03  -7295.103  1702.4451 0.9596855
## 2010-1981 -2.795211e+03  -7342.907  1752.4854 0.9662195
## 2011-1981 -2.812198e+03  -7334.674  1710.2787 0.9594321
## 2012-1981 -2.800472e+03  -7331.179  1730.2359 0.9630620
## 2013-1981 -2.810755e+03  -7414.069  1792.5592 0.9696433
## 2014-1981 -2.828123e+03  -7326.897  1670.6512 0.9520935
## 2015-1981 -2.838679e+03  -7315.134  1637.7751 0.9455041
## 1983-1982 -6.086605e+01  -5332.566  5210.8339 1.0000000
## 1984-1982 -9.682818e+01  -5368.528  5174.8717 1.0000000
## 1985-1982 -1.778641e+02  -5449.564  5093.8358 1.0000000
## 1986-1982 -2.969081e+02  -5568.608  4974.7918 1.0000000
## 1987-1982 -2.308446e+02  -5639.495  5177.8054 1.0000000
## 1988-1982 -4.836951e+02  -5892.345  4924.9549 1.0000000
## 1989-1982 -7.442143e+02  -6152.864  4664.4357 1.0000000
## 1990-1982 -1.118236e+03  -6274.061  4037.5879 1.0000000
## 1991-1982 -1.642329e+03  -6454.711  3170.0524 1.0000000
## 1992-1982 -1.620802e+03  -6433.184  3191.5792 1.0000000
## 1993-1982 -1.538950e+03  -6351.332  3273.4315 1.0000000
## 1994-1982 -1.472144e+03  -6269.464  3325.1750 1.0000000
## 1995-1982 -1.840725e+03  -6735.375  3053.9256 0.9999999
## 1996-1982 -2.046436e+03  -6858.817  2765.9459 0.9999953
## 1997-1982 -2.671784e+03  -8008.973  2665.4054 0.9995092
## 1998-1982 -2.722132e+03  -7616.783  2172.5180 0.9945677
## 1999-1982 -2.711520e+03  -7402.049  1979.0095 0.9883787
## 2000-1982 -2.695182e+03  -7362.300  1971.9368 0.9886038
## 2001-1982 -2.681269e+03  -7371.798  2009.2606 0.9906136
## 2002-1982 -2.682837e+03  -7373.367  2007.6921 0.9905072
## 2003-1982 -2.678350e+03  -7345.468  1988.7687 0.9898809
## 2004-1982 -2.638793e+03  -7353.945  2076.3586 0.9938274
## 2005-1982 -2.601545e+03  -7268.663  2065.5733 0.9943069
## 2006-1982 -2.566359e+03  -7245.037  2112.3190 0.9959250
## 2007-1982 -2.563021e+03  -7253.551  2127.5081 0.9962433
## 2008-1982 -2.614183e+03  -7304.712  2076.3467 0.9943252
## 2009-1982 -2.691801e+03  -7190.575  1806.9733 0.9783928
## 2010-1982 -2.690683e+03  -7238.379  1857.0136 0.9822450
## 2011-1982 -2.707670e+03  -7230.146  1814.8070 0.9781598
## 2012-1982 -2.695943e+03  -7226.651  1834.7642 0.9803719
## 2013-1982 -2.706227e+03  -7309.541  1897.0874 0.9841635
## 2014-1982 -2.723594e+03  -7222.368  1775.1794 0.9736300
## 2015-1982 -2.734151e+03  -7210.605  1742.3034 0.9694879
## 1984-1983 -3.596214e+01  -5307.662  5235.7378 1.0000000
## 1985-1983 -1.169980e+02  -5388.698  5154.7019 1.0000000
## 1986-1983 -2.360421e+02  -5507.742  5035.6578 1.0000000
## 1987-1983 -1.699786e+02  -5578.629  5238.6714 1.0000000
## 1988-1983 -4.228290e+02  -5831.479  4985.8209 1.0000000
## 1989-1983 -6.833483e+02  -6091.998  4725.3017 1.0000000
## 1990-1983 -1.057370e+03  -6213.194  4098.4539 1.0000000
## 1991-1983 -1.581463e+03  -6393.845  3230.9184 1.0000000
## 1992-1983 -1.559936e+03  -6372.318  3252.4452 1.0000000
## 1993-1983 -1.478084e+03  -6290.466  3334.2976 1.0000000
## 1994-1983 -1.411278e+03  -6208.598  3386.0411 1.0000000
## 1995-1983 -1.779859e+03  -6674.509  3114.7917 1.0000000
## 1996-1983 -1.985570e+03  -6797.951  2826.8120 0.9999982
## 1997-1983 -2.610918e+03  -7948.107  2726.2715 0.9997281
## 1998-1983 -2.661266e+03  -7555.917  2233.3841 0.9966236
## 1999-1983 -2.650654e+03  -7341.183  2039.8756 0.9925010
## 2000-1983 -2.634316e+03  -7301.434  2032.8029 0.9926744
## 2001-1983 -2.620403e+03  -7310.932  2070.1267 0.9940436
## 2002-1983 -2.621971e+03  -7312.501  2068.5582 0.9939708
## 2003-1983 -2.617484e+03  -7284.602  2049.6348 0.9935560
## 2004-1983 -2.577927e+03  -7293.079  2137.2247 0.9961979
## 2005-1983 -2.540679e+03  -7207.797  2126.4393 0.9965330
## 2006-1983 -2.505493e+03  -7184.171  2173.1851 0.9975779
## 2007-1983 -2.502155e+03  -7192.685  2188.3741 0.9977777
## 2008-1983 -2.553317e+03  -7243.846  2137.2128 0.9965362
## 2009-1983 -2.630935e+03  -7129.708  1867.8393 0.9856010
## 2010-1983 -2.629816e+03  -7177.513  1917.8797 0.9883066
## 2011-1983 -2.646804e+03  -7169.280  1875.6730 0.9854003
## 2012-1983 -2.635077e+03  -7165.785  1895.6302 0.9869858
## 2013-1983 -2.645361e+03  -7248.675  1957.9534 0.9896125
## 2014-1983 -2.662728e+03  -7161.502  1836.0455 0.9821274
## 2015-1983 -2.673285e+03  -7149.739  1803.1694 0.9791008
## 1985-1984 -8.103590e+01  -5352.736  5190.6640 1.0000000
## 1986-1984 -2.000799e+02  -5471.780  5071.6200 1.0000000
## 1987-1984 -1.340164e+02  -5542.666  5274.6335 1.0000000
## 1988-1984 -3.868669e+02  -5795.517  5021.7831 1.0000000
## 1989-1984 -6.473861e+02  -6056.036  4761.2638 1.0000000
## 1990-1984 -1.021408e+03  -6177.232  4134.4161 1.0000000
## 1991-1984 -1.545501e+03  -6357.883  3266.8806 1.0000000
## 1992-1984 -1.523974e+03  -6336.356  3288.4074 1.0000000
## 1993-1984 -1.442122e+03  -6254.503  3370.2597 1.0000000
## 1994-1984 -1.375316e+03  -6172.635  3422.0032 1.0000000
## 1995-1984 -1.743897e+03  -6638.547  3150.7538 1.0000000
## 1996-1984 -1.949607e+03  -6761.989  2862.7741 0.9999990
## 1997-1984 -2.574956e+03  -7912.145  2762.2336 0.9998114
## 1998-1984 -2.625304e+03  -7519.955  2269.3462 0.9974913
## 1999-1984 -2.614692e+03  -7305.221  2075.8377 0.9943026
## 2000-1984 -2.598353e+03  -7265.472  2068.7650 0.9944480
## 2001-1984 -2.584441e+03  -7274.970  2106.0888 0.9955212
## 2002-1984 -2.586009e+03  -7276.538  2104.5203 0.9954639
## 2003-1984 -2.581521e+03  -7248.640  2085.5969 0.9951444
## 2004-1984 -2.541965e+03  -7257.117  2173.1868 0.9971930
## 2005-1984 -2.504717e+03  -7171.835  2162.4014 0.9974589
## 2006-1984 -2.469531e+03  -7148.209  2209.1472 0.9982510
## 2007-1984 -2.466193e+03  -7156.722  2224.3362 0.9984000
## 2008-1984 -2.517354e+03  -7207.884  2173.1749 0.9974573
## 2009-1984 -2.594972e+03  -7093.746  1903.8015 0.9888489
## 2010-1984 -2.593854e+03  -7141.551  1953.8418 0.9910082
## 2011-1984 -2.610841e+03  -7133.318  1911.6351 0.9886704
## 2012-1984 -2.599115e+03  -7129.823  1931.5923 0.9899515
## 2013-1984 -2.609398e+03  -7212.713  1993.9156 0.9920306
## 2014-1984 -2.626766e+03  -7125.540  1872.0076 0.9860127
## 2015-1984 -2.637323e+03  -7113.777  1839.1315 0.9835382
## 1986-1985 -1.190440e+02  -5390.744  5152.6559 1.0000000
## 1987-1985 -5.298055e+01  -5461.631  5355.6694 1.0000000
## 1988-1985 -3.058310e+02  -5714.481  5102.8190 1.0000000
## 1989-1985 -5.663502e+02  -5975.000  4842.2997 1.0000000
## 1990-1985 -9.403722e+02  -6096.196  4215.4520 1.0000000
## 1991-1985 -1.464465e+03  -6276.847  3347.9165 1.0000000
## 1992-1985 -1.442938e+03  -6255.320  3369.4433 1.0000000
## 1993-1985 -1.361086e+03  -6173.468  3451.2956 1.0000000
## 1994-1985 -1.294280e+03  -6091.600  3503.0391 1.0000000
## 1995-1985 -1.662861e+03  -6557.511  3231.7897 1.0000000
## 1996-1985 -1.868572e+03  -6680.953  2943.8100 0.9999998
## 1997-1985 -2.493920e+03  -7831.109  2843.2695 0.9999214
## 1998-1985 -2.544268e+03  -7438.919  2350.3821 0.9987735
## 1999-1985 -2.533656e+03  -7224.185  2156.8736 0.9970700
## 2000-1985 -2.517317e+03  -7184.436  2149.8009 0.9971623
## 2001-1985 -2.503405e+03  -7193.934  2187.1247 0.9977528
## 2002-1985 -2.504973e+03  -7195.503  2185.5562 0.9977211
## 2003-1985 -2.500486e+03  -7167.604  2166.6328 0.9975523
## 2004-1985 -2.460929e+03  -7176.081  2254.2227 0.9986512
## 2005-1985 -2.423681e+03  -7090.799  2243.4373 0.9988007
## 2006-1985 -2.388495e+03  -7067.173  2290.1831 0.9992033
## 2007-1985 -2.385157e+03  -7075.687  2305.3721 0.9992761
## 2008-1985 -2.436319e+03  -7126.848  2254.2108 0.9987951
## 2009-1985 -2.513937e+03  -7012.710  1984.8374 0.9940118
## 2010-1985 -2.512818e+03  -7060.515  2034.8777 0.9952495
## 2011-1985 -2.529806e+03  -7052.282  1992.6710 0.9938844
## 2012-1985 -2.518079e+03  -7048.787  2012.6282 0.9946402
## 2013-1985 -2.528363e+03  -7131.677  2074.9515 0.9958096
## 2014-1985 -2.545730e+03  -7044.504  1953.0435 0.9922978
## 2015-1985 -2.556287e+03  -7032.741  1920.1674 0.9907968
## 1987-1986  6.606348e+01  -5342.586  5474.7135 1.0000000
## 1988-1986 -1.867870e+02  -5595.437  5221.8630 1.0000000
## 1989-1986 -4.473062e+02  -5855.956  4961.3438 1.0000000
## 1990-1986 -8.213282e+02  -5977.152  4334.4960 1.0000000
## 1991-1986 -1.345421e+03  -6157.803  3466.9605 1.0000000
## 1992-1986 -1.323894e+03  -6136.276  3488.4873 1.0000000
## 1993-1986 -1.242042e+03  -6054.424  3570.3396 1.0000000
## 1994-1986 -1.175236e+03  -5972.556  3622.0831 1.0000000
## 1995-1986 -1.543817e+03  -6438.467  3350.8337 1.0000000
## 1996-1986 -1.749528e+03  -6561.909  3062.8540 1.0000000
## 1997-1986 -2.374876e+03  -7712.065  2962.3135 0.9999809
## 1998-1986 -2.425224e+03  -7319.875  2469.4262 0.9996217
## 1999-1986 -2.414612e+03  -7105.141  2275.9176 0.9990257
## 2000-1986 -2.398273e+03  -7065.392  2268.8449 0.9990665
## 2001-1986 -2.384361e+03  -7074.890  2306.1687 0.9992819
## 2002-1986 -2.385929e+03  -7076.458  2304.6002 0.9992703
## 2003-1986 -2.381442e+03  -7048.560  2285.6768 0.9992126
## 2004-1986 -2.341885e+03  -7057.037  2373.2667 0.9995978
## 2005-1986 -2.304637e+03  -6971.755  2362.4814 0.9996533
## 2006-1986 -2.269451e+03  -6948.129  2409.2271 0.9997824
## 2007-1986 -2.266113e+03  -6956.643  2424.4162 0.9998043
## 2008-1986 -2.317275e+03  -7007.804  2373.2548 0.9996491
## 2009-1986 -2.394892e+03  -6893.666  2103.8814 0.9978787
## 2010-1986 -2.393774e+03  -6941.471  2153.9217 0.9983582
## 2011-1986 -2.410762e+03  -6933.238  2111.7151 0.9978135
## 2012-1986 -2.399035e+03  -6929.743  2131.6723 0.9981199
## 2013-1986 -2.409319e+03  -7012.633  2193.9955 0.9985601
## 2014-1986 -2.426686e+03  -6925.460  2072.0875 0.9971580
## 2015-1986 -2.437243e+03  -6913.697  2039.2115 0.9965221
## 1988-1987 -2.528505e+02  -5795.067  5289.3665 1.0000000
## 1989-1987 -5.133697e+02  -6055.587  5028.8473 1.0000000
## 1990-1987 -8.873917e+02  -6183.163  4408.3800 1.0000000
## 1991-1987 -1.411485e+03  -6373.510  3550.5403 1.0000000
## 1992-1987 -1.389958e+03  -6351.983  3572.0671 1.0000000
## 1993-1987 -1.308105e+03  -6270.130  3653.9195 1.0000000
## 1994-1987 -1.241300e+03  -6188.718  3706.1186 1.0000000
## 1995-1987 -1.609880e+03  -6651.733  3431.9724 1.0000000
## 1996-1987 -1.815591e+03  -6777.616  3146.4339 1.0000000
## 1997-1987 -2.440939e+03  -7913.440  3031.5615 0.9999795
## 1998-1987 -2.491288e+03  -7533.140  2550.5648 0.9996475
## 1999-1987 -2.480675e+03  -7324.614  2363.2633 0.9991400
## 2000-1987 -2.464337e+03  -7285.609  2356.9356 0.9991790
## 2001-1987 -2.450424e+03  -7294.363  2393.5144 0.9993627
## 2002-1987 -2.451993e+03  -7295.931  2391.9459 0.9993525
## 2003-1987 -2.447505e+03  -7268.778  2373.7675 0.9993054
## 2004-1987 -2.407948e+03  -7275.733  2459.8365 0.9996373
## 2005-1987 -2.370700e+03  -7191.973  2450.5720 0.9996891
## 2006-1987 -2.335515e+03  -7167.978  2496.9490 0.9998025
## 2007-1987 -2.332177e+03  -7176.115  2511.7619 0.9998215
## 2008-1987 -2.383338e+03  -7227.277  2460.6005 0.9996841
## 2009-1987 -2.460956e+03  -7119.458  2197.5461 0.9982171
## 2010-1987 -2.459838e+03  -7165.602  2245.9261 0.9986016
## 2011-1987 -2.476825e+03  -7158.221  2204.5711 0.9981541
## 2012-1987 -2.465099e+03  -7154.447  2224.2493 0.9984070
## 2013-1987 -2.475382e+03  -7234.917  2284.1531 0.9987577
## 2014-1987 -2.492750e+03  -7151.252  2165.7522 0.9976194
## 2015-1987 -2.503306e+03  -7140.258  2133.6450 0.9971057
## 1989-1988 -2.605192e+02  -5802.736  5281.6978 1.0000000
## 1990-1988 -6.345412e+02  -5930.313  4661.2305 1.0000000
## 1991-1988 -1.158634e+03  -6120.659  3803.3908 1.0000000
## 1992-1988 -1.137107e+03  -6099.132  3824.9176 1.0000000
## 1993-1988 -1.055255e+03  -6017.280  3906.7700 1.0000000
## 1994-1988 -9.884492e+02  -5935.867  3958.9690 1.0000000
## 1995-1988 -1.357030e+03  -6398.882  3684.8229 1.0000000
## 1996-1988 -1.562741e+03  -6524.765  3399.2844 1.0000000
## 1997-1988 -2.188089e+03  -7660.590  3284.4120 0.9999994
## 1998-1988 -2.238437e+03  -7280.290  2803.4153 0.9999822
## 1999-1988 -2.227825e+03  -7071.763  2616.1138 0.9999498
## 2000-1988 -2.211486e+03  -7032.759  2609.7860 0.9999535
## 2001-1988 -2.197574e+03  -7041.512  2646.3649 0.9999662
## 2002-1988 -2.199142e+03  -7043.081  2644.7964 0.9999655
## 2003-1988 -2.194655e+03  -7015.927  2626.6179 0.9999627
## 2004-1988 -2.155098e+03  -7022.883  2712.6870 0.9999836
## 2005-1988 -2.117850e+03  -6939.123  2703.4225 0.9999871
## 2006-1988 -2.082664e+03  -6915.128  2749.7995 0.9999928
## 2007-1988 -2.079326e+03  -6923.265  2764.6123 0.9999937
## 2008-1988 -2.130488e+03  -6974.426  2713.4510 0.9999866
## 2009-1988 -2.208106e+03  -6866.608  2450.3965 0.9998832
## 2010-1988 -2.206987e+03  -6912.751  2498.7766 0.9999128
## 2011-1988 -2.223975e+03  -6905.371  2457.4215 0.9998757
## 2012-1988 -2.212248e+03  -6901.596  2477.0998 0.9998974
## 2013-1988 -2.222532e+03  -6982.067  2537.0036 0.9999228
## 2014-1988 -2.239899e+03  -6898.401  2418.6026 0.9998278
## 2015-1988 -2.250456e+03  -6887.407  2386.4955 0.9997792
## 1990-1989 -3.740220e+02  -5669.794  4921.7497 1.0000000
## 1991-1989 -8.981149e+02  -5860.140  4063.9100 1.0000000
## 1992-1989 -8.765881e+02  -5838.613  4085.4368 1.0000000
## 1993-1989 -7.947357e+02  -5756.761  4167.2892 1.0000000
## 1994-1989 -7.279300e+02  -5675.348  4219.4883 1.0000000
## 1995-1989 -1.096511e+03  -6138.363  3945.3421 1.0000000
## 1996-1989 -1.302221e+03  -6264.246  3659.8036 1.0000000
## 1997-1989 -1.927570e+03  -7400.070  3544.9312 1.0000000
## 1998-1989 -1.977918e+03  -7019.771  3063.9345 0.9999997
## 1999-1989 -1.967306e+03  -6811.244  2876.6330 0.9999989
## 2000-1989 -1.950967e+03  -6772.240  2870.3053 0.9999991
## 2001-1989 -1.937054e+03  -6780.993  2906.8841 0.9999994
## 2002-1989 -1.938623e+03  -6782.561  2905.3156 0.9999994
## 2003-1989 -1.934135e+03  -6755.408  2887.1372 0.9999993
## 2004-1989 -1.894579e+03  -6762.364  2973.2062 0.9999998
## 2005-1989 -1.857331e+03  -6678.603  2963.9417 0.9999998
## 2006-1989 -1.822145e+03  -6654.608  3010.3187 0.9999999
## 2007-1989 -1.818807e+03  -6662.746  3025.1315 0.9999999
## 2008-1989 -1.869968e+03  -6713.907  2973.9702 0.9999998
## 2009-1989 -1.947586e+03  -6606.088  2710.9158 0.9999973
## 2010-1989 -1.946468e+03  -6652.232  2759.2958 0.9999981
## 2011-1989 -1.963455e+03  -6644.851  2717.9408 0.9999970
## 2012-1989 -1.951729e+03  -6641.077  2737.6190 0.9999976
## 2013-1989 -1.962012e+03  -6721.547  2797.5228 0.9999983
## 2014-1989 -1.979380e+03  -6637.882  2679.1219 0.9999954
## 2015-1989 -1.989937e+03  -6626.888  2647.0147 0.9999937
## 1991-1990 -5.240929e+02  -5209.252  4161.0667 1.0000000
## 1992-1990 -5.025661e+02  -5187.726  4182.5935 1.0000000
## 1993-1990 -4.207137e+02  -5105.873  4264.4458 1.0000000
## 1994-1990 -3.539080e+02  -5023.595  4315.7790 1.0000000
## 1995-1990 -7.224885e+02  -5492.112  4047.1348 1.0000000
## 1996-1990 -9.281993e+02  -5613.359  3756.9602 1.0000000
## 1997-1990 -1.553548e+03  -6776.314  3669.2193 1.0000000
## 1998-1990 -1.603896e+03  -6373.519  3165.7272 1.0000000
## 1999-1990 -1.593283e+03  -6153.192  2966.6254 1.0000000
## 2000-1990 -1.576945e+03  -6112.769  2958.8786 1.0000000
## 2001-1990 -1.563032e+03  -6122.941  2996.8765 1.0000000
## 2002-1990 -1.564601e+03  -6124.510  2995.3080 1.0000000
## 2003-1990 -1.560113e+03  -6095.937  2975.7104 1.0000000
## 2004-1990 -1.520557e+03  -6105.790  3064.6760 1.0000000
## 2005-1990 -1.483309e+03  -6019.133  3052.5150 1.0000000
## 2006-1990 -1.448123e+03  -5995.840  3099.5945 1.0000000
## 2007-1990 -1.444785e+03  -6004.694  3115.1239 1.0000000
## 2008-1990 -1.495946e+03  -6055.855  3063.9626 1.0000000
## 2009-1990 -1.573564e+03  -5935.980  2788.8514 1.0000000
## 2010-1990 -1.572446e+03  -5985.296  2840.4036 1.0000000
## 2011-1990 -1.589433e+03  -5976.288  2797.4218 1.0000000
## 2012-1990 -1.577707e+03  -5973.047  2817.6330 1.0000000
## 2013-1990 -1.587990e+03  -6058.136  2882.1555 1.0000000
## 2014-1990 -1.605358e+03  -5967.774  2757.0575 1.0000000
## 2015-1990 -1.615915e+03  -5955.309  2723.4801 0.9999999
## 1992-1991  2.152680e+01  -4282.798  4325.8517 1.0000000
## 1993-1991  1.033792e+02  -4200.946  4407.7041 1.0000000
## 1994-1991  1.701849e+02  -4117.293  4457.6631 1.0000000
## 1995-1991 -1.983957e+02  -4594.508  4197.7163 1.0000000
## 1996-1991 -4.041064e+02  -4708.431  3900.2185 1.0000000
## 1997-1991 -1.029455e+03  -5913.489  3854.5792 1.0000000
## 1998-1991 -1.079803e+03  -5475.915  3316.3087 1.0000000
## 1999-1991 -1.069191e+03  -5236.835  3098.4541 1.0000000
## 2000-1991 -1.052852e+03  -5194.131  3088.4265 1.0000000
## 2001-1991 -1.038940e+03  -5206.584  3128.7052 1.0000000
## 2002-1991 -1.040508e+03  -5208.153  3127.1367 1.0000000
## 2003-1991 -1.036020e+03  -5177.299  3105.2584 1.0000000
## 2004-1991 -9.964639e+02  -5191.801  3198.8731 1.0000000
## 2005-1991 -9.592159e+02  -5100.495  3182.0630 1.0000000
## 2006-1991 -9.240299e+02  -5078.332  3230.2722 1.0000000
## 2007-1991 -9.206921e+02  -5088.337  3246.9526 1.0000000
## 2008-1991 -9.718534e+02  -5139.498  3195.7913 1.0000000
## 2009-1991 -1.049471e+03  -5000.062  2901.1189 1.0000000
## 2010-1991 -1.048353e+03  -5054.566  2957.8590 1.0000000
## 2011-1991 -1.065340e+03  -5042.901  2912.2205 1.0000000
## 2012-1991 -1.053614e+03  -5040.531  2933.3029 1.0000000
## 2013-1991 -1.063897e+03  -5133.135  3005.3404 1.0000000
## 2014-1991 -1.081265e+03  -5031.856  2869.3250 1.0000000
## 2015-1991 -1.091822e+03  -5016.977  2833.3330 1.0000000
## 1993-1992  8.185237e+01  -4222.473  4386.1773 1.0000000
## 1994-1992  1.486581e+02  -4138.820  4436.1363 1.0000000
## 1995-1992 -2.199225e+02  -4616.034  4176.1895 1.0000000
## 1996-1992 -4.256332e+02  -4729.958  3878.6917 1.0000000
## 1997-1992 -1.050982e+03  -5935.015  3833.0524 1.0000000
## 1998-1992 -1.101330e+03  -5497.442  3294.7819 1.0000000
## 1999-1992 -1.090717e+03  -5258.362  3076.9273 1.0000000
## 2000-1992 -1.074379e+03  -5215.658  3066.8997 1.0000000
## 2001-1992 -1.060466e+03  -5228.111  3107.1784 1.0000000
## 2002-1992 -1.062035e+03  -5229.680  3105.6099 1.0000000
## 2003-1992 -1.057547e+03  -5198.826  3083.7316 1.0000000
## 2004-1992 -1.017991e+03  -5213.328  3177.3463 1.0000000
## 2005-1992 -9.807427e+02  -5122.022  3160.5362 1.0000000
## 2006-1992 -9.455567e+02  -5099.859  3208.7454 1.0000000
## 2007-1992 -9.422189e+02  -5109.864  3225.4258 1.0000000
## 2008-1992 -9.933802e+02  -5161.025  3174.2645 1.0000000
## 2009-1992 -1.070998e+03  -5021.588  2879.5921 1.0000000
## 2010-1992 -1.069880e+03  -5076.092  2936.3322 1.0000000
## 2011-1992 -1.086867e+03  -5064.428  2890.6937 1.0000000
## 2012-1992 -1.075141e+03  -5062.058  2911.7761 1.0000000
## 2013-1992 -1.085424e+03  -5154.662  2983.8136 1.0000000
## 2014-1992 -1.102792e+03  -5053.382  2847.7982 1.0000000
## 2015-1992 -1.113349e+03  -5038.503  2811.8062 1.0000000
## 1994-1993  6.680573e+01  -4220.672  4354.2839 1.0000000
## 1995-1993 -3.017748e+02  -4697.887  4094.3371 1.0000000
## 1996-1993 -5.074856e+02  -4811.811  3796.8393 1.0000000
## 1997-1993 -1.132834e+03  -6016.868  3751.2000 1.0000000
## 1998-1993 -1.183182e+03  -5579.294  3212.9295 1.0000000
## 1999-1993 -1.172570e+03  -5340.214  2995.0749 1.0000000
## 2000-1993 -1.156232e+03  -5297.510  2985.0473 1.0000000
## 2001-1993 -1.142319e+03  -5309.963  3025.3260 1.0000000
## 2002-1993 -1.143887e+03  -5311.532  3023.7575 1.0000000
## 2003-1993 -1.139400e+03  -5280.678  3001.8792 1.0000000
## 2004-1993 -1.099843e+03  -5295.180  3095.4939 1.0000000
## 2005-1993 -1.062595e+03  -5203.874  3078.6838 1.0000000
## 2006-1993 -1.027409e+03  -5181.711  3126.8930 1.0000000
## 2007-1993 -1.024071e+03  -5191.716  3143.5735 1.0000000
## 2008-1993 -1.075233e+03  -5242.877  3092.4121 1.0000000
## 2009-1993 -1.152851e+03  -5103.441  2797.7397 1.0000000
## 2010-1993 -1.151732e+03  -5157.945  2854.4798 1.0000000
## 2011-1993 -1.168720e+03  -5146.281  2808.8414 1.0000000
## 2012-1993 -1.156993e+03  -5143.910  2829.9237 1.0000000
## 2013-1993 -1.167277e+03  -5236.514  2901.9613 1.0000000
## 2014-1993 -1.184644e+03  -5135.235  2765.9458 1.0000000
## 2015-1993 -1.195201e+03  -5120.356  2729.9539 1.0000000
## 1995-1994 -3.685806e+02  -4748.199  4011.0377 1.0000000
## 1996-1994 -5.742913e+02  -4861.770  3713.1869 1.0000000
## 1997-1994 -1.199640e+03  -6068.833  3669.5537 1.0000000
## 1998-1994 -1.249988e+03  -5629.606  3129.6301 1.0000000
## 1999-1994 -1.239376e+03  -5389.619  2910.8677 1.0000000
## 2000-1994 -1.223037e+03  -5346.803  2900.7288 1.0000000
## 2001-1994 -1.209124e+03  -5359.368  2941.1188 1.0000000
## 2002-1994 -1.210693e+03  -5360.936  2939.5503 1.0000000
## 2003-1994 -1.206205e+03  -5329.971  2917.5607 1.0000000
## 2004-1994 -1.166649e+03  -5344.700  3011.4020 1.0000000
## 2005-1994 -1.129401e+03  -5253.167  2994.3653 1.0000000
## 2006-1994 -1.094215e+03  -5231.059  3042.6296 1.0000000
## 2007-1994 -1.090877e+03  -5241.120  3059.3662 1.0000000
## 2008-1994 -1.142038e+03  -5292.282  3008.2049 1.0000000
## 2009-1994 -1.219656e+03  -5151.885  2712.5720 1.0000000
## 2010-1994 -1.218538e+03  -5206.645  2769.5682 1.0000000
## 2011-1994 -1.235525e+03  -5194.849  2723.7988 1.0000000
## 2012-1994 -1.223799e+03  -5192.522  2744.9241 1.0000000
## 2013-1994 -1.234082e+03  -5285.496  2817.3314 1.0000000
## 2014-1994 -1.251450e+03  -5183.678  2680.7781 1.0000000
## 2015-1994 -1.262007e+03  -5168.680  2644.6666 1.0000000
## 1996-1995 -2.057108e+02  -4601.823  4190.4011 1.0000000
## 1997-1995 -8.310591e+02  -5796.175  4134.0566 1.0000000
## 1998-1995 -8.814076e+02  -5367.429  3604.6137 1.0000000
## 1999-1995 -8.707950e+02  -5133.171  3391.5810 1.0000000
## 2000-1995 -8.544567e+02  -5091.056  3382.1430 1.0000000
## 2001-1995 -8.405439e+02  -5102.920  3421.8321 1.0000000
## 2002-1995 -8.421124e+02  -5104.488  3420.2636 1.0000000
## 2003-1995 -8.376248e+02  -5074.225  3398.9749 1.0000000
## 2004-1995 -7.980682e+02  -5087.525  3491.3885 1.0000000
## 2005-1995 -7.608202e+02  -4997.420  3475.7795 1.0000000
## 2006-1995 -7.256343e+02  -4974.965  3523.6966 1.0000000
## 2007-1995 -7.222964e+02  -4984.672  3540.0796 1.0000000
## 2008-1995 -7.734578e+02  -5035.834  3488.9182 1.0000000
## 2009-1995 -8.510757e+02  -4901.477  3199.3255 1.0000000
## 2010-1995 -8.499577e+02  -4954.629  3254.7133 1.0000000
## 2011-1995 -8.669448e+02  -4943.656  3209.7669 1.0000000
## 2012-1995 -8.552184e+02  -4941.059  3230.6222 1.0000000
## 2013-1995 -8.655018e+02  -5031.709  3300.7055 1.0000000
## 2014-1995 -8.828696e+02  -4933.271  3167.5316 1.0000000
## 2015-1995 -8.934261e+02  -4919.023  3132.1704 1.0000000
## 1997-1996 -6.253483e+02  -5509.382  4258.6856 1.0000000
## 1998-1996 -6.756968e+02  -5071.809  3720.4151 1.0000000
## 1999-1996 -6.650842e+02  -4832.729  3502.5605 1.0000000
## 2000-1996 -6.487459e+02  -4790.025  3492.5330 1.0000000
## 2001-1996 -6.348331e+02  -4802.478  3532.8116 1.0000000
## 2002-1996 -6.364016e+02  -4804.046  3531.2431 1.0000000
## 2003-1996 -6.319140e+02  -4773.193  3509.3648 1.0000000
## 2004-1996 -5.923575e+02  -4787.694  3602.9795 1.0000000
## 2005-1996 -5.551095e+02  -4696.388  3586.1694 1.0000000
## 2006-1996 -5.199235e+02  -4674.226  3634.3786 1.0000000
## 2007-1996 -5.165856e+02  -4684.230  3651.0591 1.0000000
## 2008-1996 -5.677470e+02  -4735.392  3599.8977 1.0000000
## 2009-1996 -6.453650e+02  -4595.955  3305.2253 1.0000000
## 2010-1996 -6.442469e+02  -4650.459  3361.9654 1.0000000
## 2011-1996 -6.612340e+02  -4638.795  3316.3270 1.0000000
## 2012-1996 -6.495077e+02  -4636.425  3337.4093 1.0000000
## 2013-1996 -6.597910e+02  -4729.029  3409.4469 1.0000000
## 2014-1996 -6.771588e+02  -4627.749  3273.4314 1.0000000
## 2015-1996 -6.877154e+02  -4612.870  3237.4395 1.0000000
## 1998-1997 -5.034851e+01  -5015.464  4914.7672 1.0000000
## 1999-1997 -3.973590e+01  -4803.751  4724.2788 1.0000000
## 2000-1997 -2.339764e+01  -4764.364  4717.5690 1.0000000
## 2001-1997 -9.484807e+00  -4773.500  4754.5299 1.0000000
## 2002-1997 -1.105330e+01  -4775.068  4752.9614 1.0000000
## 2003-1997 -6.565745e+00  -4747.532  4734.4009 1.0000000
## 2004-1997  3.299081e+01  -4755.268  4821.2500 1.0000000
## 2005-1997  7.023882e+01  -4670.728  4811.2054 1.0000000
## 2006-1997  1.054248e+02  -4646.922  4857.7716 1.0000000
## 2007-1997  1.087626e+02  -4655.252  4872.7773 1.0000000
## 2008-1997  5.760128e+01  -4706.413  4821.6160 1.0000000
## 2009-1997 -2.001668e+01  -4595.357  4555.3234 1.0000000
## 2010-1997 -1.889861e+01  -4642.351  4604.5537 1.0000000
## 2011-1997 -3.588569e+01  -4634.534  4562.7625 1.0000000
## 2012-1997 -2.415938e+01  -4630.902  4582.5836 1.0000000
## 2013-1997 -3.444273e+01  -4712.612  4643.7268 1.0000000
## 2014-1997 -5.181057e+01  -4627.151  4523.5295 1.0000000
## 2015-1997 -6.236709e+01  -4615.763  4491.0288 1.0000000
## 1999-1998  1.061261e+01  -4251.763  4272.9886 1.0000000
## 2000-1998  2.695087e+01  -4209.649  4263.5506 1.0000000
## 2001-1998  4.086370e+01  -4221.512  4303.2397 1.0000000
## 2002-1998  3.929520e+01  -4223.081  4301.6712 1.0000000
## 2003-1998  4.378276e+01  -4192.817  4280.3825 1.0000000
## 2004-1998  8.333932e+01  -4206.117  4372.7961 1.0000000
## 2005-1998  1.205873e+02  -4116.012  4357.1871 1.0000000
## 2006-1998  1.557733e+02  -4093.558  4405.1042 1.0000000
## 2007-1998  1.591111e+02  -4103.265  4421.4871 1.0000000
## 2008-1998  1.079498e+02  -4154.426  4370.3258 1.0000000
## 2009-1998  3.033183e+01  -4020.069  4080.7331 1.0000000
## 2010-1998  3.144989e+01  -4073.221  4136.1209 1.0000000
## 2011-1998  1.446281e+01  -4062.249  4091.1745 1.0000000
## 2012-1998  2.618912e+01  -4059.651  4112.0297 1.0000000
## 2013-1998  1.590577e+01  -4150.302  4182.1131 1.0000000
## 2014-1998 -1.462065e+00  -4051.863  4048.9392 1.0000000
## 2015-1998 -1.201858e+01  -4037.615  4013.5779 1.0000000
## 2000-1999  1.633826e+01  -3982.692  4015.3681 1.0000000
## 2001-1999  3.025109e+01  -3996.076  4056.5784 1.0000000
## 2002-1999  2.868260e+01  -3997.645  4055.0099 1.0000000
## 2003-1999  3.317015e+01  -3965.860  4032.2000 1.0000000
## 2004-1999  7.272671e+01  -3982.258  4127.7115 1.0000000
## 2005-1999  1.099747e+02  -3889.055  4109.0046 1.0000000
## 2006-1999  1.451607e+02  -3867.354  4157.6755 1.0000000
## 2007-1999  1.484985e+02  -3877.829  4174.8258 1.0000000
## 2008-1999  9.733718e+01  -3928.990  4123.6645 1.0000000
## 2009-1999  1.971922e+01  -3781.493  3820.9312 1.0000000
## 2010-1999  2.083728e+01  -3838.150  3879.8250 1.0000000
## 2011-1999  3.850206e+00  -3825.385  3833.0851 1.0000000
## 2012-1999  1.557651e+01  -3823.376  3854.5290 1.0000000
## 2013-1999  5.293165e+00  -3919.085  3929.6716 1.0000000
## 2014-1999 -1.207467e+01  -3813.287  3789.1373 1.0000000
## 2015-1999 -2.263119e+01  -3797.401  3752.1390 1.0000000
## 2001-2000  1.391283e+01  -3985.117  4012.9427 1.0000000
## 2002-2000  1.234433e+01  -3986.686  4011.3742 1.0000000
## 2003-2000  1.683189e+01  -3954.713  3988.3767 1.0000000
## 2004-2000  5.638845e+01  -3971.493  4084.2700 1.0000000
## 2005-2000  9.363645e+01  -3877.908  4065.1812 1.0000000
## 2006-2000  1.288224e+02  -3856.300  4113.9452 1.0000000
## 2007-2000  1.321603e+02  -3866.870  4131.1901 1.0000000
## 2008-2000  8.099892e+01  -3918.031  4080.0288 1.0000000
## 2009-2000  3.380958e+00  -3768.905  3775.6668 1.0000000
## 2010-2000  4.499024e+00  -3825.999  3834.9970 1.0000000
## 2011-2000 -1.248806e+01  -3813.010  3788.0341 1.0000000
## 2012-2000 -7.617465e-01  -3811.075  3809.5511 1.0000000
## 2013-2000 -1.104510e+01  -3907.412  3885.3217 1.0000000
## 2014-2000 -2.841293e+01  -3800.699  3743.8729 1.0000000
## 2015-2000 -3.896945e+01  -3784.609  3706.6704 1.0000000
## 2002-2001 -1.568496e+00  -4027.896  4024.7588 1.0000000
## 2003-2001  2.919062e+00  -3996.111  4001.9489 1.0000000
## 2004-2001  4.247562e+01  -4012.509  4097.4604 1.0000000
## 2005-2001  7.972362e+01  -3919.306  4078.7535 1.0000000
## 2006-2001  1.149096e+02  -3897.605  4127.4244 1.0000000
## 2007-2001  1.182474e+02  -3908.080  4144.5747 1.0000000
## 2008-2001  6.708609e+01  -3959.241  4093.4134 1.0000000
## 2009-2001 -1.053187e+01  -3811.744  3790.6801 1.0000000
## 2010-2001 -9.413806e+00  -3868.402  3849.5739 1.0000000
## 2011-2001 -2.640088e+01  -3855.636  3802.8341 1.0000000
## 2012-2001 -1.467458e+01  -3853.627  3824.2779 1.0000000
## 2013-2001 -2.495793e+01  -3949.336  3899.4205 1.0000000
## 2014-2001 -4.232576e+01  -3843.538  3758.8862 1.0000000
## 2015-2001 -5.288228e+01  -3827.652  3721.8879 1.0000000
## 2003-2002  4.487558e+00  -3994.542  4003.5174 1.0000000
## 2004-2002  4.404412e+01  -4010.941  4099.0289 1.0000000
## 2005-2002  8.129212e+01  -3917.738  4080.3220 1.0000000
## 2006-2002  1.164781e+02  -3896.037  4128.9929 1.0000000
## 2007-2002  1.198159e+02  -3906.511  4146.1432 1.0000000
## 2008-2002  6.865458e+01  -3957.673  4094.9819 1.0000000
## 2009-2002 -8.963376e+00  -3810.175  3792.2486 1.0000000
## 2010-2002 -7.845310e+00  -3866.833  3851.1424 1.0000000
## 2011-2002 -2.483239e+01  -3854.067  3804.4026 1.0000000
## 2012-2002 -1.310608e+01  -3852.059  3825.8464 1.0000000
## 2013-2002 -2.338943e+01  -3947.768  3900.9890 1.0000000
## 2014-2002 -4.075727e+01  -3841.969  3760.4547 1.0000000
## 2015-2002 -5.131378e+01  -3826.084  3723.4564 1.0000000
## 2004-2003  3.955656e+01  -3988.325  4067.4381 1.0000000
## 2005-2003  7.680456e+01  -3894.740  4048.3494 1.0000000
## 2006-2003  1.119905e+02  -3873.132  4097.1133 1.0000000
## 2007-2003  1.153284e+02  -3883.701  4114.3582 1.0000000
## 2008-2003  6.416702e+01  -3934.863  4063.1969 1.0000000
## 2009-2003 -1.345093e+01  -3785.737  3758.8349 1.0000000
## 2010-2003 -1.233287e+01  -3842.831  3818.1651 1.0000000
## 2011-2003 -2.931995e+01  -3829.842  3771.2022 1.0000000
## 2012-2003 -1.759364e+01  -3827.907  3792.7192 1.0000000
## 2013-2003 -2.787699e+01  -3924.244  3868.4898 1.0000000
## 2014-2003 -4.524483e+01  -3817.531  3727.0410 1.0000000
## 2015-2003 -5.580134e+01  -3801.441  3689.8385 1.0000000
## 2005-2004  3.724800e+01  -3990.634  4065.1296 1.0000000
## 2006-2004  7.243397e+01  -3968.836  4113.7042 1.0000000
## 2007-2004  7.577182e+01  -3979.213  4130.7566 1.0000000
## 2008-2004  2.461046e+01  -4030.374  4079.5953 1.0000000
## 2009-2004 -5.300749e+01  -3884.561  3778.5461 1.0000000
## 2010-2004 -5.188943e+01  -3940.768  3836.9891 1.0000000
## 2011-2004 -6.887651e+01  -3928.233  3790.4797 1.0000000
## 2012-2004 -5.715020e+01  -3926.148  3811.8479 1.0000000
## 2013-2004 -6.743355e+01  -4021.208  3886.3414 1.0000000
## 2014-2004 -8.480138e+01  -3916.355  3746.7522 1.0000000
## 2015-2004 -9.535790e+01  -3900.680  3709.9647 1.0000000
## 2006-2005  3.518596e+01  -3949.937  4020.3087 1.0000000
## 2007-2005  3.852381e+01  -3960.506  4037.5537 1.0000000
## 2008-2005 -1.263754e+01  -4011.667  3986.3923 1.0000000
## 2009-2005 -9.025550e+01  -3862.541  3682.0304 1.0000000
## 2010-2005 -8.913743e+01  -3919.635  3741.3605 1.0000000
## 2011-2005 -1.061245e+02  -3906.647  3694.3976 1.0000000
## 2012-2005 -9.439820e+01  -3904.711  3715.9147 1.0000000
## 2013-2005 -1.046816e+02  -4001.048  3791.6852 1.0000000
## 2014-2005 -1.220494e+02  -3894.335  3650.2365 1.0000000
## 2015-2005 -1.326059e+02  -3878.246  3613.0339 1.0000000
## 2007-2006  3.337848e+00  -4009.177  4015.8527 1.0000000
## 2008-2006 -4.782350e+01  -4060.338  3964.6913 1.0000000
## 2009-2006 -1.254415e+02  -3912.020  3661.1370 1.0000000
## 2010-2006 -1.243234e+02  -3968.897  3720.2507 1.0000000
## 2011-2006 -1.413105e+02  -3956.019  3673.3984 1.0000000
## 2012-2006 -1.295842e+02  -3954.047  3694.8791 1.0000000
## 2013-2006 -1.398675e+02  -4050.073  3770.3383 1.0000000
## 2014-2006 -1.572354e+02  -3943.814  3629.3431 1.0000000
## 2015-2006 -1.677919e+02  -3927.826  3592.2418 1.0000000
## 2008-2007 -5.116135e+01  -4077.489  3975.1660 1.0000000
## 2009-2007 -1.287793e+02  -3929.991  3672.4327 1.0000000
## 2010-2007 -1.276612e+02  -3986.649  3731.3265 1.0000000
## 2011-2007 -1.446483e+02  -3973.883  3684.5866 1.0000000
## 2012-2007 -1.329220e+02  -3971.874  3706.0304 1.0000000
## 2013-2007 -1.432054e+02  -4067.584  3781.1731 1.0000000
## 2014-2007 -1.605732e+02  -3961.785  3640.6388 1.0000000
## 2015-2007 -1.711297e+02  -3945.900  3603.6404 1.0000000
## 2009-2008 -7.761796e+01  -3878.830  3723.5940 1.0000000
## 2010-2008 -7.649989e+01  -3935.488  3782.4878 1.0000000
## 2011-2008 -9.348697e+01  -3922.722  3735.7480 1.0000000
## 2012-2008 -8.176066e+01  -3920.713  3757.1918 1.0000000
## 2013-2008 -9.204401e+01  -4016.422  3832.3344 1.0000000
## 2014-2008 -1.094118e+02  -3910.624  3691.8001 1.0000000
## 2015-2008 -1.199684e+02  -3894.739  3654.8018 1.0000000
## 2010-2009  1.118066e+00  -3622.373  3624.6091 1.0000000
## 2011-2009 -1.586901e+01  -3607.657  3575.9190 1.0000000
## 2012-2009 -4.142704e+00  -3606.289  3598.0034 1.0000000
## 2013-2009 -1.442605e+01  -3707.480  3678.6278 1.0000000
## 2014-2009 -3.179389e+01  -3593.691  3530.1036 1.0000000
## 2015-2009 -4.235041e+01  -3576.016  3491.3149 1.0000000
## 2011-2010 -1.698708e+01  -3669.865  3635.8905 1.0000000
## 2012-2010 -5.260770e+00  -3668.324  3657.8022 1.0000000
## 2013-2010 -1.554412e+01  -3768.039  3736.9511 1.0000000
## 2014-2010 -3.291196e+01  -3656.403  3590.5791 1.0000000
## 2015-2010 -4.346847e+01  -3639.211  3552.2741 1.0000000
## 2012-2011  1.172631e+01  -3619.979  3643.4318 1.0000000
## 2013-2011  1.442958e+00  -3720.448  3723.3342 1.0000000
## 2014-2011 -1.592488e+01  -3607.713  3575.8631 1.0000000
## 2015-2011 -2.648139e+01  -3590.274  3537.3113 1.0000000
## 2013-2012 -1.028335e+01  -3742.172  3721.6050 1.0000000
## 2014-2012 -2.765119e+01  -3629.797  3574.4950 1.0000000
## 2015-2012 -3.820770e+01  -3612.440  3536.0243 1.0000000
## 2014-2013 -1.736784e+01  -3710.422  3675.6860 1.0000000
## 2015-2013 -2.792435e+01  -3693.756  3637.9076 1.0000000
## 2015-2014 -1.055652e+01  -3544.222  3523.1088 1.0000000

Hypothesis Test

H0 = The mean of all the world indicators that effect the adolescent fertility rates are equal throughout from 1960 to 2015.

H1 = The mean of all the world indicators that effect the adolescent fertility rates are not equal throughout from 1960 to 2015.

Inference

## Response variable: numerical, Explanatory variable: categorical
## ANOVA
## 
## Summary statistics:
## n_1960 = 8, mean_1960 = 74.0695, sd_1960 = 53.3394
## n_1961 = 8, mean_1961 = 74.7377, sd_1961 = 53.8973
## n_1962 = 8, mean_1962 = 75.1682, sd_1962 = 54.7209
## n_1963 = 8, mean_1963 = 75.2169, sd_1963 = 54.8187
## n_1964 = 8, mean_1964 = 73.8852, sd_1964 = 51.9338
## n_1965 = 8, mean_1965 = 72.8164, sd_1965 = 49.5074
## n_1966 = 8, mean_1966 = 73.2924, sd_1966 = 50.2585
## n_1967 = 8, mean_1967 = 72.3472, sd_1967 = 48.7398
## n_1968 = 8, mean_1968 = 73.083, sd_1968 = 49.4413
## n_1969 = 8, mean_1969 = 73.0788, sd_1969 = 49.6322
## n_1970 = 11, mean_1970 = 58.5483, sd_1970 = 47.5673
## n_1971 = 14, mean_1971 = 55.5627, sd_1971 = 42.9075
## n_1972 = 14, mean_1972 = 55.1392, sd_1972 = 42.3431
## n_1973 = 18, mean_1973 = 55.4277, sd_1973 = 40.4585
## n_1974 = 18, mean_1974 = 55.0869, sd_1974 = 40.2221
## n_1975 = 18, mean_1975 = 55.1648, sd_1975 = 40.806
## n_1976 = 18, mean_1976 = 54.6655, sd_1976 = 40.2853
## n_1977 = 36, mean_1977 = 4152.888, sd_1977 = 17183.49
## n_1978 = 42, mean_1978 = 3443.499, sd_1978 = 15386.54
## n_1979 = 41, mean_1979 = 50.7345, sd_1979 = 35.9714
## n_1980 = 48, mean_1980 = 45.2039, sd_1980 = 34.9836
## n_1981 = 42, mean_1981 = 3030.495, sd_1981 = 13505.95
## n_1982 = 42, mean_1982 = 2925.967, sd_1982 = 13030.33
## n_1983 = 42, mean_1983 = 2865.101, sd_1983 = 12760.53
## n_1984 = 42, mean_1984 = 2829.138, sd_1984 = 12600.48
## n_1985 = 42, mean_1985 = 2748.102, sd_1985 = 12229.42
## n_1986 = 42, mean_1986 = 2629.059, sd_1986 = 11687.4
## n_1987 = 38, mean_1987 = 2695.122, sd_1987 = 11394.26
## n_1988 = 38, mean_1988 = 2442.271, sd_1988 = 10303.96
## n_1989 = 38, mean_1989 = 2181.752, sd_1989 = 9176.202
## n_1990 = 46, mean_1990 = 1807.73, sd_1990 = 7623.057
## n_1991 = 63, mean_1991 = 1283.637, sd_1991 = 6291.698
## n_1992 = 63, mean_1992 = 1305.164, sd_1992 = 6403.869
## n_1993 = 63, mean_1993 = 1387.017, sd_1993 = 6866.976
## n_1994 = 64, mean_1994 = 1453.822, sd_1994 = 7310.543
## n_1995 = 58, mean_1995 = 1085.242, sd_1995 = 4948.182
## n_1996 = 63, mean_1996 = 879.531, sd_1996 = 4028.558
## n_1997 = 40, mean_1997 = 254.1827, sd_1997 = 1370.046
## n_1998 = 58, mean_1998 = 203.8342, sd_1998 = 1215.903
## n_1999 = 72, mean_1999 = 214.4468, sd_1999 = 1121.108
## n_2000 = 74, mean_2000 = 230.7851, sd_2000 = 1198.17
## n_2001 = 72, mean_2001 = 244.6979, sd_2001 = 1254.142
## n_2002 = 72, mean_2002 = 243.1294, sd_2002 = 1244.675
## n_2003 = 74, mean_2003 = 247.6169, sd_2003 = 1307.291
## n_2004 = 70, mean_2004 = 287.1735, sd_2004 = 1396.932
## n_2005 = 74, mean_2005 = 324.4215, sd_2005 = 1460.704
## n_2006 = 73, mean_2006 = 359.6075, sd_2006 = 1592.645
## n_2007 = 72, mean_2007 = 362.9453, sd_2007 = 1637.897
## n_2008 = 72, mean_2008 = 311.784, sd_2008 = 1507.546
## n_2009 = 92, mean_2009 = 234.166, sd_2009 = 1328.806
## n_2010 = 86, mean_2010 = 235.2841, sd_2010 = 1293.641
## n_2011 = 89, mean_2011 = 218.297, sd_2011 = 1261.809
## n_2012 = 88, mean_2012 = 230.0233, sd_2012 = 1325.679
## n_2013 = 80, mean_2013 = 219.74, sd_2013 = 1377.42
## n_2014 = 92, mean_2014 = 202.3721, sd_2014 = 1293.99
## n_2015 = 95, mean_2015 = 191.8156, sd_2015 = 1274.956
## H_0: All means are equal.
## H_A: At least one mean is different.
## Analysis of Variance Table
## 
## Response: data
##             Df     Sum Sq  Mean Sq F value  Pr(>F)
## group       55 2.7777e+09 50503364  1.4194 0.02366
## Residuals 2533 9.0125e+10 35580526                
## 
## Pairwise tests: t tests with pooled SD 
##        1960   1961   1962   1963   1964   1965   1966   1967   1968   1969
## 1961 0.9998     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1962 0.9997 0.9999     NA     NA     NA     NA     NA     NA     NA     NA
## 1963 0.9997 0.9999 1.0000     NA     NA     NA     NA     NA     NA     NA
## 1964 1.0000 0.9998 0.9997 0.9996     NA     NA     NA     NA     NA     NA
## 1965 0.9997 0.9995 0.9994 0.9994 0.9997     NA     NA     NA     NA     NA
## 1966 0.9998 0.9996 0.9995 0.9995 0.9998 0.9999     NA     NA     NA     NA
## 1967 0.9995 0.9994 0.9992 0.9992 0.9996 0.9999 0.9997     NA     NA     NA
## 1968 0.9997 0.9996 0.9994 0.9994 0.9998 0.9999 0.9999 0.9998     NA     NA
## 1969 0.9997 0.9996 0.9994 0.9994 0.9998 0.9999 0.9999 0.9998 1.0000     NA
## 1970 0.9955 0.9953 0.9952 0.9952 0.9956 0.9959 0.9958 0.9960 0.9958 0.9958
## 1971 0.9944 0.9942 0.9941 0.9941 0.9945 0.9948 0.9946 0.9949 0.9947 0.9947
## 1972 0.9943 0.9941 0.9940 0.9939 0.9943 0.9947 0.9945 0.9948 0.9946 0.9946
## 1973 0.9941 0.9939 0.9938 0.9938 0.9942 0.9945 0.9944 0.9947 0.9944 0.9944
## 1974 0.9940 0.9938 0.9937 0.9937 0.9941 0.9944 0.9943 0.9946 0.9943 0.9943
## 1975 0.9940 0.9938 0.9937 0.9937 0.9941 0.9944 0.9943 0.9946 0.9944 0.9944
## 1976 0.9939 0.9937 0.9935 0.9935 0.9940 0.9943 0.9941 0.9944 0.9942 0.9942
## 1977 0.0803 0.0804 0.0804 0.0804 0.0803 0.0802 0.0803 0.0802 0.0803 0.0803
## 1978 0.1432 0.1433 0.1434 0.1434 0.1432 0.1431 0.1431 0.1430 0.1431 0.1431
## 1979 0.9919 0.9917 0.9915 0.9915 0.9920 0.9924 0.9922 0.9925 0.9923 0.9923
## 1980 0.9899 0.9897 0.9895 0.9895 0.9900 0.9903 0.9902 0.9905 0.9902 0.9902
## 1981 0.1990 0.1991 0.1991 0.1991 0.1989 0.1988 0.1989 0.1987 0.1988 0.1988
## 1982 0.2153 0.2154 0.2155 0.2155 0.2153 0.2151 0.2152 0.2150 0.2152 0.2152
## 1983 0.2253 0.2254 0.2254 0.2255 0.2252 0.2251 0.2251 0.2250 0.2251 0.2251
## 1984 0.2313 0.2314 0.2315 0.2315 0.2313 0.2311 0.2312 0.2310 0.2311 0.2311
## 1985 0.2453 0.2454 0.2455 0.2455 0.2453 0.2451 0.2452 0.2450 0.2451 0.2451
## 1986 0.2669 0.2671 0.2672 0.2672 0.2669 0.2667 0.2668 0.2666 0.2668 0.2668
## 1987 0.2587 0.2589 0.2589 0.2590 0.2587 0.2585 0.2586 0.2584 0.2586 0.2586
## 1988 0.3075 0.3077 0.3077 0.3078 0.3075 0.3073 0.3074 0.3072 0.3073 0.3073
## 1989 0.3638 0.3639 0.3640 0.3640 0.3637 0.3635 0.3636 0.3634 0.3636 0.3636
## 1990 0.4481 0.4483 0.4484 0.4484 0.4480 0.4478 0.4479 0.4476 0.4478 0.4478
## 1991 0.5891 0.5893 0.5894 0.5894 0.5890 0.5887 0.5888 0.5885 0.5888 0.5888
## 1992 0.5824 0.5827 0.5828 0.5828 0.5824 0.5821 0.5822 0.5819 0.5821 0.5821
## 1993 0.5576 0.5578 0.5580 0.5580 0.5576 0.5573 0.5574 0.5571 0.5573 0.5573
## 1994 0.5374 0.5376 0.5377 0.5377 0.5373 0.5370 0.5372 0.5369 0.5371 0.5371
## 1995 0.6531 0.6533 0.6535 0.6535 0.6531 0.6527 0.6529 0.6526 0.6528 0.6528
## 1996 0.7190 0.7193 0.7194 0.7194 0.7190 0.7186 0.7188 0.7185 0.7187 0.7187
## 1997 0.9379 0.9381 0.9382 0.9383 0.9378 0.9374 0.9376 0.9373 0.9375 0.9375
## 1998 0.9540 0.9542 0.9544 0.9544 0.9539 0.9536 0.9537 0.9534 0.9537 0.9537
## 1999 0.9497 0.9499 0.9500 0.9501 0.9496 0.9492 0.9494 0.9490 0.9493 0.9493
## 2000 0.9437 0.9440 0.9441 0.9441 0.9437 0.9433 0.9434 0.9431 0.9434 0.9434
## 2001 0.9388 0.9391 0.9392 0.9392 0.9388 0.9384 0.9385 0.9382 0.9385 0.9385
## 2002 0.9394 0.9396 0.9398 0.9398 0.9393 0.9389 0.9391 0.9388 0.9390 0.9390
## 2003 0.9377 0.9379 0.9381 0.9381 0.9376 0.9372 0.9374 0.9371 0.9373 0.9373
## 2004 0.9237 0.9240 0.9241 0.9242 0.9237 0.9233 0.9235 0.9231 0.9234 0.9234
## 2005 0.9102 0.9105 0.9106 0.9106 0.9102 0.9098 0.9099 0.9096 0.9099 0.9099
## 2006 0.8977 0.8980 0.8981 0.8981 0.8977 0.8973 0.8975 0.8971 0.8974 0.8974
## 2007 0.8966 0.8969 0.8970 0.8970 0.8966 0.8962 0.8963 0.8960 0.8963 0.8963
## 2008 0.9148 0.9151 0.9152 0.9153 0.9148 0.9144 0.9146 0.9142 0.9145 0.9145
## 2009 0.9420 0.9422 0.9424 0.9424 0.9419 0.9415 0.9417 0.9413 0.9416 0.9416
## 2010 0.9417 0.9420 0.9421 0.9421 0.9417 0.9413 0.9414 0.9411 0.9414 0.9414
## 2011 0.9478 0.9480 0.9482 0.9482 0.9477 0.9473 0.9475 0.9472 0.9474 0.9474
## 2012 0.9436 0.9438 0.9440 0.9440 0.9435 0.9431 0.9433 0.9429 0.9432 0.9432
## 2013 0.9475 0.9477 0.9479 0.9479 0.9474 0.9470 0.9472 0.9469 0.9471 0.9471
## 2014 0.9535 0.9537 0.9539 0.9539 0.9534 0.9530 0.9532 0.9528 0.9531 0.9531
## 2015 0.9572 0.9575 0.9576 0.9577 0.9572 0.9568 0.9570 0.9566 0.9569 0.9569
##        1970   1971   1972   1973   1974   1975   1976   1977   1978   1979
## 1961     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1962     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1963     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1964     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1965     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1966     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1967     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1968     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1969     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1970     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1971 0.9990     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1972 0.9989 0.9999     NA     NA     NA     NA     NA     NA     NA     NA
## 1973 0.9989 0.9999 0.9999     NA     NA     NA     NA     NA     NA     NA
## 1974 0.9988 0.9998 1.0000 0.9999     NA     NA     NA     NA     NA     NA
## 1975 0.9988 0.9999 1.0000 0.9999 1.0000     NA     NA     NA     NA     NA
## 1976 0.9986 0.9997 0.9998 0.9997 0.9998 0.9998     NA     NA     NA     NA
## 1977 0.0464 0.0293 0.0293 0.0174 0.0174 0.0174 0.0174     NA     NA     NA
## 1978 0.0940 0.0658 0.0658 0.0439 0.0439 0.0439 0.0438 0.6006     NA     NA
## 1979 0.9969 0.9979 0.9981 0.9978 0.9979 0.9979 0.9981 0.0026 0.0096     NA
## 1980 0.9947 0.9954 0.9956 0.9951 0.9952 0.9952 0.9954 0.0018 0.0071 0.9965
## 1981 0.1414 0.1062 0.1061 0.0768 0.0767 0.0768 0.0767 0.4075 0.7510 0.0230
## 1982 0.1559 0.1190 0.1190 0.0877 0.0877 0.0877 0.0876 0.3652 0.6910 0.0282
## 1983 0.1649 0.1271 0.1270 0.0946 0.0946 0.0946 0.0946 0.3419 0.6568 0.0317
## 1984 0.1704 0.1320 0.1320 0.0989 0.0989 0.0989 0.0989 0.3286 0.6370 0.0340
## 1985 0.1832 0.1437 0.1436 0.1092 0.1092 0.1092 0.1091 0.2999 0.5932 0.0395
## 1986 0.2034 0.1622 0.1622 0.1258 0.1257 0.1257 0.1257 0.2608 0.5316 0.0491
## 1987 0.1968 0.1571 0.1570 0.1221 0.1220 0.1220 0.1220 0.2935 0.5753 0.0491
## 1988 0.2432 0.2007 0.2006 0.1621 0.1620 0.1620 0.1620 0.2177 0.4535 0.0751
## 1989 0.2986 0.2543 0.2543 0.2129 0.2129 0.2129 0.2128 0.1555 0.3449 0.1127
## 1990 0.3824 0.3360 0.3358 0.2908 0.2907 0.2907 0.2906 0.0774 0.1989 0.1704
## 1991 0.5297 0.4860 0.4858 0.4411 0.4410 0.4410 0.4408 0.0214 0.0692 0.3031
## 1992 0.5225 0.4784 0.4782 0.4332 0.4330 0.4331 0.4329 0.0224 0.0720 0.2947
## 1993 0.4956 0.4500 0.4499 0.4036 0.4035 0.4036 0.4034 0.0265 0.0836 0.2643
## 1994 0.4737 0.4270 0.4268 0.3796 0.3795 0.3796 0.3794 0.0300 0.0931 0.2398
## 1995 0.6008 0.5622 0.5620 0.5223 0.5222 0.5222 0.5220 0.0154 0.0511 0.3954
## 1996 0.6737 0.6402 0.6400 0.6052 0.6051 0.6051 0.6049 0.0087 0.0310 0.4887
## 1997 0.9233 0.9146 0.9144 0.9066 0.9064 0.9064 0.9062 0.0045 0.0156 0.8780
## 1998 0.9410 0.9335 0.9333 0.9265 0.9264 0.9264 0.9262 0.0018 0.0074 0.8999
## 1999 0.9357 0.9273 0.9272 0.9194 0.9193 0.9193 0.9190 0.0012 0.0053 0.8885
## 2000 0.9288 0.9197 0.9195 0.9109 0.9108 0.9108 0.9106 0.0012 0.0053 0.8768
## 2001 0.9232 0.9136 0.9134 0.9042 0.9040 0.9040 0.9038 0.0013 0.0058 0.8680
## 2002 0.9239 0.9143 0.9141 0.9050 0.9048 0.9048 0.9046 0.0013 0.0058 0.8691
## 2003 0.9219 0.9120 0.9118 0.9024 0.9023 0.9023 0.9021 0.0013 0.0056 0.8654
## 2004 0.9059 0.8945 0.8943 0.8831 0.8830 0.8830 0.8828 0.0016 0.0068 0.8403
## 2005 0.8903 0.8771 0.8769 0.8638 0.8636 0.8636 0.8634 0.0016 0.0068 0.8137
## 2006 0.8760 0.8613 0.8611 0.8464 0.8462 0.8462 0.8460 0.0018 0.0076 0.7908
## 2007 0.8748 0.8600 0.8598 0.8449 0.8447 0.8448 0.8445 0.0019 0.0079 0.7891
## 2008 0.8957 0.8831 0.8829 0.8705 0.8703 0.8703 0.8701 0.0016 0.0069 0.8230
## 2009 0.9265 0.9169 0.9167 0.9075 0.9073 0.9073 0.9071 0.0008 0.0039 0.8699
## 2010 0.9263 0.9167 0.9165 0.9074 0.9072 0.9073 0.9070 0.0010 0.0043 0.8705
## 2011 0.9332 0.9244 0.9242 0.9159 0.9157 0.9157 0.9155 0.0009 0.0039 0.8817
## 2012 0.9284 0.9190 0.9188 0.9099 0.9097 0.9098 0.9095 0.0009 0.0041 0.8737
## 2013 0.9330 0.9243 0.9241 0.9159 0.9157 0.9158 0.9155 0.0010 0.0046 0.8827
## 2014 0.9398 0.9316 0.9314 0.9239 0.9237 0.9237 0.9235 0.0008 0.0036 0.8923
## 2015 0.9441 0.9364 0.9362 0.9291 0.9290 0.9290 0.9287 0.0007 0.0033 0.8993
##        1980   1981   1982   1983   1984   1985   1986   1987   1988   1989
## 1961     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1962     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1963     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1964     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1965     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1966     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1967     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1968     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1969     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1970     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1971     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1972     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1973     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1974     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1975     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1976     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1977     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1978     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1979     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1980     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1981 0.0179     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1982 0.0224 0.9360     NA     NA     NA     NA     NA     NA     NA     NA
## 1983 0.0253 0.8989 0.9627     NA     NA     NA     NA     NA     NA     NA
## 1984 0.0273 0.8771 0.9407 0.9780     NA     NA     NA     NA     NA     NA
## 1985 0.0321 0.8283 0.8913 0.9284 0.9504     NA     NA     NA     NA     NA
## 1986 0.0405 0.7578 0.8196 0.8561 0.8778 0.9271     NA     NA     NA     NA
## 1987 0.0409 0.8017 0.8628 0.8987 0.9201 0.9684 0.9606     NA     NA     NA
## 1988 0.0643 0.6596 0.7172 0.7516 0.7721 0.8189 0.8888 0.8534     NA     NA
## 1989 0.0992 0.5251 0.5774 0.6089 0.6279 0.6715 0.7377 0.7076 0.8490     NA
## 1990 0.1522 0.3369 0.3798 0.4063 0.4224 0.4602 0.5189 0.4974 0.6275 0.7749
## 1991 0.2786 0.1417 0.1670 0.1833 0.1935 0.2179 0.2576 0.2494 0.3444 0.4636
## 1992 0.2703 0.1466 0.1727 0.1894 0.1998 0.2247 0.2653 0.2567 0.3534 0.4744
## 1993 0.2405 0.1668 0.1954 0.2136 0.2250 0.2521 0.2960 0.2858 0.3892 0.5166
## 1994 0.2163 0.1833 0.2141 0.2336 0.2457 0.2746 0.3212 0.3097 0.4185 0.5513
## 1995 0.3716 0.1076 0.1279 0.1410 0.1492 0.1690 0.2016 0.1961 0.2758 0.3785
## 1996 0.4654 0.0704 0.0851 0.0948 0.1010 0.1159 0.1410 0.1385 0.2022 0.2879
## 1997 0.8700 0.0352 0.0427 0.0477 0.0508 0.0585 0.0716 0.0710 0.1055 0.1538
## 1998 0.8916 0.0194 0.0244 0.0278 0.0299 0.0354 0.0449 0.0455 0.0723 0.1122
## 1999 0.8790 0.0151 0.0193 0.0222 0.0241 0.0288 0.0372 0.0382 0.0626 0.1001
## 2000 0.8667 0.0152 0.0194 0.0223 0.0242 0.0290 0.0375 0.0385 0.0633 0.1014
## 2001 0.8576 0.0162 0.0207 0.0237 0.0257 0.0307 0.0396 0.0406 0.0663 0.1055
## 2002 0.8587 0.0162 0.0206 0.0237 0.0256 0.0306 0.0395 0.0405 0.0661 0.1052
## 2003 0.8547 0.0158 0.0202 0.0232 0.0252 0.0301 0.0389 0.0399 0.0654 0.1043
## 2004 0.8286 0.0185 0.0235 0.0269 0.0291 0.0346 0.0444 0.0452 0.0731 0.1151
## 2005 0.8006 0.0189 0.0241 0.0276 0.0298 0.0355 0.0456 0.0465 0.0754 0.1188
## 2006 0.7767 0.0209 0.0264 0.0302 0.0326 0.0388 0.0496 0.0504 0.0810 0.1269
## 2007 0.7750 0.0213 0.0270 0.0308 0.0333 0.0396 0.0505 0.0513 0.0822 0.1285
## 2008 0.8105 0.0190 0.0241 0.0276 0.0298 0.0355 0.0455 0.0464 0.0750 0.1181
## 2009 0.8588 0.0119 0.0155 0.0179 0.0196 0.0237 0.0312 0.0325 0.0550 0.0905
## 2010 0.8596 0.0129 0.0166 0.0193 0.0210 0.0253 0.0331 0.0344 0.0576 0.0940
## 2011 0.8713 0.0119 0.0154 0.0178 0.0195 0.0236 0.0310 0.0322 0.0545 0.0895
## 2012 0.8629 0.0124 0.0160 0.0186 0.0202 0.0245 0.0321 0.0334 0.0562 0.0920
## 2013 0.8727 0.0135 0.0173 0.0200 0.0218 0.0262 0.0341 0.0353 0.0587 0.0951
## 2014 0.8824 0.0110 0.0143 0.0166 0.0181 0.0220 0.0290 0.0303 0.0516 0.0854
## 2015 0.8896 0.0103 0.0134 0.0157 0.0171 0.0208 0.0275 0.0289 0.0495 0.0823
##        1990   1991   1992   1993   1994   1995   1996   1997   1998   1999
## 1961     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1962     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1963     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1964     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1965     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1966     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1967     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1968     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1969     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1970     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1971     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1972     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1973     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1974     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1975     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1976     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1977     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1978     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1979     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1980     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1981     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1982     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1983     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1984     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1985     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1986     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1987     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1988     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1989     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1990     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1991 0.6506     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1992 0.6640 0.9838     NA     NA     NA     NA     NA     NA     NA     NA
## 1993 0.7161 0.9225 0.9386     NA     NA     NA     NA     NA     NA     NA
## 1994 0.7589 0.8723 0.8883 0.9497     NA     NA     NA     NA     NA     NA
## 1995 0.5396 0.8550 0.8395 0.7810 0.7333     NA     NA     NA     NA     NA
## 1996 0.4224 0.7038 0.6888 0.6330 0.5875 0.8497     NA     NA     NA     NA
## 1997 0.2284 0.3934 0.3836 0.3476 0.3185 0.4979 0.6041     NA     NA     NA
## 1998 0.1733 0.3199 0.3104 0.2758 0.2478 0.4263 0.5337 0.9672     NA     NA
## 1999 0.1572 0.2989 0.2893 0.2546 0.2266 0.4081 0.5181 0.9731 0.9920     NA
## 2000 0.1592 0.3033 0.2935 0.2583 0.2298 0.4141 0.5258 0.9841 0.9794 0.9868
## 2001 0.1652 0.3128 0.3029 0.2671 0.2381 0.4246 0.5373 0.9936 0.9690 0.9757
## 2002 0.1648 0.3120 0.3021 0.2664 0.2375 0.4237 0.5363 0.9925 0.9702 0.9770
## 2003 0.1637 0.3111 0.3011 0.2653 0.2363 0.4234 0.5366 0.9955 0.9666 0.9732
## 2004 0.1794 0.3362 0.3258 0.2885 0.2582 0.4512 0.5675 0.9777 0.9373 0.9421
## 2005 0.1855 0.3483 0.3376 0.2988 0.2675 0.4671 0.5873 0.9522 0.9082 0.9113
## 2006 0.1973 0.3678 0.3567 0.3166 0.2842 0.4893 0.6123 0.9284 0.8820 0.8835
## 2007 0.1995 0.3710 0.3600 0.3198 0.2872 0.4926 0.6157 0.9263 0.8798 0.8813
## 2008 0.1841 0.3450 0.3345 0.2962 0.2652 0.4625 0.5812 0.9609 0.9183 0.9220
## 2009 0.1442 0.2821 0.2723 0.2374 0.2092 0.3949 0.5083 0.9859 0.9758 0.9832
## 2010 0.1491 0.2893 0.2795 0.2444 0.2160 0.4018 0.5149 0.9868 0.9752 0.9826
## 2011 0.1424 0.2781 0.2685 0.2342 0.2064 0.3892 0.5008 0.9748 0.9885 0.9968
## 2012 0.1461 0.2846 0.2749 0.2400 0.2118 0.3967 0.5095 0.9831 0.9793 0.9869
## 2013 0.1503 0.2898 0.2801 0.2454 0.2174 0.4002 0.5115 0.9762 0.9877 0.9956
## 2014 0.1362 0.2678 0.2584 0.2247 0.1975 0.3774 0.4876 0.9634 0.9988 0.9897
## 2015 0.1316 0.2600 0.2508 0.2176 0.1909 0.3688 0.4780 0.9558 0.9904 0.9806
##        2000   2001   2002   2003   2004   2005   2006   2007   2008   2009
## 1961     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1962     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1963     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1964     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1965     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1966     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1967     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1968     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1969     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1970     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1971     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1972     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1973     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1974     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1975     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1976     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1977     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1978     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1979     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1980     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1981     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1982     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1983     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1984     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1985     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1986     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1987     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1988     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1989     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1990     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1991     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1992     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1993     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1994     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1995     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1996     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1997     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1998     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 1999     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 2000     NA     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 2001 0.9888     NA     NA     NA     NA     NA     NA     NA     NA     NA
## 2002 0.9900 0.9987     NA     NA     NA     NA     NA     NA     NA     NA
## 2003 0.9863 0.9976 0.9964     NA     NA     NA     NA     NA     NA     NA
## 2004 0.9548 0.9662 0.9649 0.9683     NA     NA     NA     NA     NA     NA
## 2005 0.9239 0.9357 0.9344 0.9376 0.9701     NA     NA     NA     NA     NA
## 2006 0.8958 0.9077 0.9064 0.9094 0.9421 0.9715     NA     NA     NA     NA
## 2007 0.8935 0.9053 0.9041 0.9070 0.9397 0.9689 0.9973     NA     NA     NA
## 2008 0.9346 0.9462 0.9449 0.9482 0.9804 0.9898 0.9615 0.9590     NA     NA
## 2009 0.9971 0.9910 0.9924 0.9885 0.9553 0.9228 0.8933 0.8909 0.9341     NA
## 2010 0.9962 0.9921 0.9934 0.9896 0.9569 0.9249 0.8958 0.8934 0.9360 0.9990
## 2011 0.9894 0.9777 0.9790 0.9751 0.9424 0.9100 0.8808 0.8784 0.9212 0.9857
## 2012 0.9994 0.9876 0.9890 0.9851 0.9523 0.9201 0.8909 0.8885 0.9313 0.9963
## 2013 0.9908 0.9795 0.9807 0.9769 0.9449 0.9134 0.8848 0.8825 0.9243 0.9874
## 2014 0.9757 0.9640 0.9654 0.9613 0.9286 0.8958 0.8665 0.8642 0.9072 0.9712
## 2015 0.9664 0.9548 0.9561 0.9519 0.9192 0.8860 0.8566 0.8543 0.8976 0.9613
##        2010   2011   2012   2013   2014
## 1961     NA     NA     NA     NA     NA
## 1962     NA     NA     NA     NA     NA
## 1963     NA     NA     NA     NA     NA
## 1964     NA     NA     NA     NA     NA
## 1965     NA     NA     NA     NA     NA
## 1966     NA     NA     NA     NA     NA
## 1967     NA     NA     NA     NA     NA
## 1968     NA     NA     NA     NA     NA
## 1969     NA     NA     NA     NA     NA
## 1970     NA     NA     NA     NA     NA
## 1971     NA     NA     NA     NA     NA
## 1972     NA     NA     NA     NA     NA
## 1973     NA     NA     NA     NA     NA
## 1974     NA     NA     NA     NA     NA
## 1975     NA     NA     NA     NA     NA
## 1976     NA     NA     NA     NA     NA
## 1977     NA     NA     NA     NA     NA
## 1978     NA     NA     NA     NA     NA
## 1979     NA     NA     NA     NA     NA
## 1980     NA     NA     NA     NA     NA
## 1981     NA     NA     NA     NA     NA
## 1982     NA     NA     NA     NA     NA
## 1983     NA     NA     NA     NA     NA
## 1984     NA     NA     NA     NA     NA
## 1985     NA     NA     NA     NA     NA
## 1986     NA     NA     NA     NA     NA
## 1987     NA     NA     NA     NA     NA
## 1988     NA     NA     NA     NA     NA
## 1989     NA     NA     NA     NA     NA
## 1990     NA     NA     NA     NA     NA
## 1991     NA     NA     NA     NA     NA
## 1992     NA     NA     NA     NA     NA
## 1993     NA     NA     NA     NA     NA
## 1994     NA     NA     NA     NA     NA
## 1995     NA     NA     NA     NA     NA
## 1996     NA     NA     NA     NA     NA
## 1997     NA     NA     NA     NA     NA
## 1998     NA     NA     NA     NA     NA
## 1999     NA     NA     NA     NA     NA
## 2000     NA     NA     NA     NA     NA
## 2001     NA     NA     NA     NA     NA
## 2002     NA     NA     NA     NA     NA
## 2003     NA     NA     NA     NA     NA
## 2004     NA     NA     NA     NA     NA
## 2005     NA     NA     NA     NA     NA
## 2006     NA     NA     NA     NA     NA
## 2007     NA     NA     NA     NA     NA
## 2008     NA     NA     NA     NA     NA
## 2009     NA     NA     NA     NA     NA
## 2010     NA     NA     NA     NA     NA
## 2011 0.9850     NA     NA     NA     NA
## 2012 0.9954 0.9896     NA     NA     NA
## 2013 0.9866 0.9987 0.9911     NA     NA
## 2014 0.9707 0.9857 0.9752 0.9848     NA
## 2015 0.9610 0.9760 0.9655 0.9754 0.9903

As we can see, p-value is less than 0.05.

Therefore, we reject the null hypothesis and conclude that The mean of all the world indicators that effect the adolescent fertility rates are not equal throughout from 1960 to 2015. . It varies for each of the world indicators.

Inference Results

  1. Therefore, as we saw inference results for Philippines and United States ,we failed to reject the null hypothesis, which further proves that adolescent fertility rates of these countries is not much improved or affected by world indicators. Their adolescent fertility rates are more impacted by the socio-economic factors.

  2. And also, as we saw inference results for Switzerland ,we reject the null hypothesis, which further proves that adolescent fertility rates of these countries is much improved or affected by world indicators. Their adolescent fertility rates are also impacted by the scocio-economic factors which overall results in constant decreasing feritlity rates in Switzerland.

Conclusion

It is often citied that the decrease in pregnancy overall is due to things like access to contraceptives and sex-education programs. In this study, various World Bank indicators were regressed against adolescent preganancy rates within Philippines, United States, and Switzerland.

Philippines

In the Philippines, rates are increasing (one of the few countries) despite lower risks of maternal death, and increasing survival rates (alluding to better healthcare overall). The country should allow for the use of contraceptives and sex-education programs. There is something to be said that the country has good education rates and increased teenage pregnancies. Their other metrics are ok – there is something holding them back, and that’s a flawed outlook on pregnancy.

United States

For the countries with complete statistics, there is an inverse correlation between the pregnancy rate and the proportion of pregnancies ending in abortion. In countries with high teen pregnancy rates, a smaller proportion of those pregnancies ended in abortion. As a result, the spread in birth rates is even greater than the already large spread in pregnancy rates. For example, the U.S. teen pregnancy rate is about seven times that of Switzerland, but the U.S. birth rate is 15 times that of Switzerland.

Switzerland

Switzerland, on the other hand is attempting to improve, and in doing so more rapidly than their metrics would allude to. There is likely some form out outside influence going on. Of the 3 countries with complete estimates of young adolescent pregnancy rates, the lowest was in Switzerland.

Now let’s see the factors which these countries adopts which leads to different levels of adolescent fertility rates and answer the research questions we formulated at the beginning of this project.

1) Which countries have the most significant increasing/decreasing adolescent fertility rates.

Out of the three countries we analyzed, Philippines’s adolescent fertility rate is most significantly increasing followed by United States.

Swizerland’s adolescent fertility rates are most significantly decreasing out of all the countries.

2) Determine potential reasons for what in particular makes countries with decreasing or consistent fertility rates different from countries with higher or increasing fertility rates?

Factors leading to increasing pregnency rates:

  1. Studies have more frequently examined the relationship among social, economic, and cultural factors and differences in teen pregnancy rates within countries. In the United Kingdom and the United States, for example, teen pregnancy rates are higher in the most socioeconomically disadvantaged groups.

  2. In the United States, the pregnancy rate is 100 among black teenagers and 38 among white teens (a rate that is still high for a developed country),9 although this differential has decreased with time .

  3. Qualitative research in the United Kingdom points to poor material circumstances, unhappiness at home or at school, and low expectations for the future as factors associated with high teen pregnancy rates.

Therefore, as we saw inference results for Philippines and United States ,we failed to reject the null hypothesis, which further proves that adolescent fertility rates of these countries is not much improved or affected by world indicators. Their adolescent fertility rates are more impacted by the scocio-economic factors.

Factors leading to decreasing pregnency rates:

  1. At the other end of the spectrum, the very low teen pregnancy rate in Switzerland exists in the context of long-established sex education programs, widespread expectation that sexually active teens will use contraception, free family planning services and low-cost emergency contraception.

  2. But even in Switzerland, statistics indicate that teen pregnancy rates vary with levels of education and cultural background of adolescent girls.

Therefore, as we saw inference results for Switzerland ,we reject the null hypothesis, which further proves that adolescent fertility rates of these countries is much improved or affected by world indicators. Their adolescent fertility rates are also impacted by the scocio-economic factors which overall results in constant decreasing feritlity rates in Switzerland.

Additional research would help us better understand circumstances that can lead to teen pregnancies and how these circumstances can be influenced. Examination of the factors that influence whether an adolescent who gets pregnant will seek an abortion or have a child can also inform how adolescents can be supported in the face of a pregnancy.

Moreover, further research to help disentangle the factors that are causally associated with unplanned teen pregnancies from the factors that are simply correlated with such pregnancies can inform interventions aimed at helping adolescent girls avoid unintended pregnancy and instead take advantage of other opportunities before them.