1. Structure of dataset

The structure of the dataset is printed below.

## spc_tbl_ [2,938 × 22] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ Country                        : chr [1:2938] "Afghanistan" "Afghanistan" "Afghanistan" "Afghanistan" ...
##  $ Year                           : num [1:2938] 2015 2014 2013 2012 2011 ...
##  $ Status                         : chr [1:2938] "Developing" "Developing" "Developing" "Developing" ...
##  $ Life expectancy                : num [1:2938] 65 59.9 59.9 59.5 59.2 58.8 58.6 58.1 57.5 57.3 ...
##  $ Adult Mortality                : num [1:2938] 263 271 268 272 275 279 281 287 295 295 ...
##  $ infant deaths                  : num [1:2938] 62 64 66 69 71 74 77 80 82 84 ...
##  $ Alcohol                        : num [1:2938] 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.03 0.02 0.03 ...
##  $ percentage expenditure         : num [1:2938] 71.3 73.5 73.2 78.2 7.1 ...
##  $ Hepatitis B                    : num [1:2938] 65 62 64 67 68 66 63 64 63 64 ...
##  $ Measles                        : num [1:2938] 1154 492 430 2787 3013 ...
##  $ BMI                            : num [1:2938] 19.1 18.6 18.1 17.6 17.2 16.7 16.2 15.7 15.2 14.7 ...
##  $ under-five deaths              : num [1:2938] 83 86 89 93 97 102 106 110 113 116 ...
##  $ Polio                          : num [1:2938] 6 58 62 67 68 66 63 64 63 58 ...
##  $ Total expenditure              : num [1:2938] 8.16 8.18 8.13 8.52 7.87 9.2 9.42 8.33 6.73 7.43 ...
##  $ Diphtheria                     : num [1:2938] 65 62 64 67 68 66 63 64 63 58 ...
##  $ HIV/AIDS                       : num [1:2938] 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 ...
##  $ GDP                            : num [1:2938] 584.3 612.7 631.7 670 63.5 ...
##  $ Population                     : num [1:2938] 33736494 327582 31731688 3696958 2978599 ...
##  $ thinness  1-19 years           : num [1:2938] 17.2 17.5 17.7 17.9 18.2 18.4 18.6 18.8 19 19.2 ...
##  $ thinness 5-9 years             : num [1:2938] 17.3 17.5 17.7 18 18.2 18.4 18.7 18.9 19.1 19.3 ...
##  $ Income composition of resources: num [1:2938] 0.479 0.476 0.47 0.463 0.454 0.448 0.434 0.433 0.415 0.405 ...
##  $ Schooling                      : num [1:2938] 10.1 10 9.9 9.8 9.5 9.2 8.9 8.7 8.4 8.1 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   Country = col_character(),
##   ..   Year = col_double(),
##   ..   Status = col_character(),
##   ..   `Life expectancy` = col_double(),
##   ..   `Adult Mortality` = col_double(),
##   ..   `infant deaths` = col_double(),
##   ..   Alcohol = col_double(),
##   ..   `percentage expenditure` = col_double(),
##   ..   `Hepatitis B` = col_double(),
##   ..   Measles = col_double(),
##   ..   BMI = col_double(),
##   ..   `under-five deaths` = col_double(),
##   ..   Polio = col_double(),
##   ..   `Total expenditure` = col_double(),
##   ..   Diphtheria = col_double(),
##   ..   `HIV/AIDS` = col_double(),
##   ..   GDP = col_double(),
##   ..   Population = col_double(),
##   ..   `thinness  1-19 years` = col_double(),
##   ..   `thinness 5-9 years` = col_double(),
##   ..   `Income composition of resources` = col_double(),
##   ..   Schooling = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>

2. List of variables

The following is the full list of variables.

##  [1] "Country"                         "Year"                           
##  [3] "Status"                          "Life expectancy"                
##  [5] "Adult Mortality"                 "infant deaths"                  
##  [7] "Alcohol"                         "percentage expenditure"         
##  [9] "Hepatitis B"                     "Measles"                        
## [11] "BMI"                             "under-five deaths"              
## [13] "Polio"                           "Total expenditure"              
## [15] "Diphtheria"                      "HIV/AIDS"                       
## [17] "GDP"                             "Population"                     
## [19] "thinness  1-19 years"            "thinness 5-9 years"             
## [21] "Income composition of resources" "Schooling"

3. Top 15 rows of dataset

The top 15 rows of the dataset is printed below.

## # A tibble: 15 × 22
##    Country      Year Status  `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>       <dbl> <chr>               <dbl>             <dbl>           <dbl>
##  1 Afghanistan  2015 Develo…              65                 263              62
##  2 Afghanistan  2014 Develo…              59.9               271              64
##  3 Afghanistan  2013 Develo…              59.9               268              66
##  4 Afghanistan  2012 Develo…              59.5               272              69
##  5 Afghanistan  2011 Develo…              59.2               275              71
##  6 Afghanistan  2010 Develo…              58.8               279              74
##  7 Afghanistan  2009 Develo…              58.6               281              77
##  8 Afghanistan  2008 Develo…              58.1               287              80
##  9 Afghanistan  2007 Develo…              57.5               295              82
## 10 Afghanistan  2006 Develo…              57.3               295              84
## 11 Afghanistan  2005 Develo…              57.3               291              85
## 12 Afghanistan  2004 Develo…              57                 293              87
## 13 Afghanistan  2003 Develo…              56.7               295              87
## 14 Afghanistan  2002 Develo…              56.2                 3              88
## 15 Afghanistan  2001 Develo…              55.3               316              88
## # ℹ 16 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>

4. User defined function

A user defined function to create a new variable “Measle_Percentage” using Measles and population from the dataset is printed below.

##    [1] 3.420628e-03 1.501914e-01 1.355112e-03 7.538630e-02 1.011549e-01
##    [6] 6.898664e-02 1.006222e+00 5.858364e-02 4.286768e-03 7.685341e-02
##   [11] 5.027192e-01 1.932088e-03 3.374420e-02 1.131032e-02 2.953686e-01
##   [16] 2.223614e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.060184e-01
##   [21] 9.485256e-03 3.432640e-03 0.000000e+00 0.000000e+00 7.403170e-02
##   [26] 2.272312e-03 1.926244e-03 2.141072e-03 2.355602e-03 4.557106e-01
##   [31] 4.976087e-02 1.700619e+00 1.580075e-04 0.000000e+00 6.520850e-05
##   [36] 4.791586e-05 3.041862e-04 2.851792e-04 3.016994e-03 6.223623e-03
##   [41] 0.000000e+00 2.794725e-03 6.915314e-03 1.001768e-01 4.739921e-01
##   [46] 1.832135e-01 8.502111e-03 0.000000e+00 4.235562e-03 4.345087e-01
##   [51] 3.278286e-01 1.717158e+00 5.983013e-03 5.092188e-03 1.244814e-02
##   [56] 1.217863e-02 3.382608e-02 3.381366e-02 1.319522e-03 1.537180e-04
##   [61] 6.559287e-02 6.797495e-02 5.326420e-02 1.348998e-01           NA
##   [66]           NA           NA           NA           NA           NA
##   [71]           NA           NA           NA           NA           NA
##   [76]           NA           NA           NA           NA           NA
##   [81] 0.000000e+00 2.326582e-06 0.000000e+00 4.654693e-05 7.201692e-06
##   [86] 4.123822e-05 6.250690e-04 0.000000e+00 0.000000e+00 0.000000e+00
##   [91] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##   [96] 1.596827e-04 1.131319e-02 4.388630e-02 3.455915e-03 0.000000e+00
##  [101] 0.000000e+00 6.950934e-05 0.000000e+00 0.000000e+00 3.408827e-04
##  [106] 4.630725e-01 7.651130e-02 4.936323e+01 1.258416e-02 1.197974e-02
##  [111] 1.935212e-01 4.058573e-03 3.110637e-04 1.448847e-02 6.834693e-04
##  [116] 8.755622e-04 8.504010e-02 3.136552e-02 4.794461e-02 3.058939e-02
##  [121] 3.890225e-02 0.000000e+00 4.175714e-02 3.290401e-01 4.573922e-02
##  [126] 1.628383e-02 7.263174e-01 5.638803e-01 3.579219e-03 1.369771e-03
##  [131] 0.000000e+00 4.270467e-04 8.103300e-04 6.217537e-03 5.872960e-04
##  [136] 5.383647e-03 2.410949e-04 2.781594e-04 1.093849e-04 1.835544e-04
##  [141] 1.108180e-03 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [146] 0.000000e+00 1.741566e-02 0.000000e+00 0.000000e+00 0.000000e+00
##  [151] 0.000000e+00 5.705548e-03 0.000000e+00 2.616521e-02 1.475241e-01
##  [156] 9.886432e+00 2.402205e+00 5.326758e-01 7.076635e-01 2.474664e+00
##  [161]           NA           NA           NA           NA           NA
##  [166]           NA           NA           NA           NA           NA
##  [171]           NA           NA           NA           NA           NA
##  [176]           NA           NA           NA           NA           NA
##  [181]           NA           NA           NA           NA           NA
##  [186]           NA           NA           NA           NA           NA
##  [191]           NA           NA 1.488016e-02 1.812449e-03 1.504081e-04
##  [196] 1.275304e-02 3.654688e-03 5.179130e-03 4.645812e-02 1.786936e-02
##  [201] 1.987234e-03 4.259523e-01 1.808115e-01 6.891606e-02 2.921884e+00
##  [206] 2.549268e-01 3.289817e-01 3.874412e-03           NA           NA
##  [211]           NA           NA           NA           NA           NA
##  [216]           NA           NA           NA           NA           NA
##  [221]           NA           NA           NA           NA 2.107567e-05
##  [226] 6.754966e-04 1.690260e-04 1.056580e-04 5.278063e-04 1.053094e-04
##  [231] 0.000000e+00 0.000000e+00 1.044983e-04 1.544163e-02 1.034777e-05
##  [236] 2.055190e-04 2.143568e-04 1.419080e-04 4.532384e-04 2.104291e-03
##  [241] 4.168812e-04 6.197048e-02 3.487493e-04 9.794895e-04 5.018541e-02
##  [246] 2.110165e-03 1.836912e-03 5.445261e-02 3.936766e-01 9.690185e-04
##  [251] 1.758400e-03 4.292338e-03 3.197365e-03 0.000000e+00 6.451262e-02
##  [256] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [261] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [266] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [271] 0.000000e+00 0.000000e+00 3.489954e-03 6.108593e-02 4.407999e+00
##  [276] 2.960173e-02 4.499271e-01 4.261213e-03 1.633359e-01 1.067045e-02
##  [281] 4.033216e-03 2.141928e-03 2.630845e-03 3.378901e+00 2.883510e-02
##  [286] 2.176716e-02 7.543133e-01 6.181227e-02 1.397028e-03 0.000000e+00
##  [291] 0.000000e+00 1.328079e-04 1.342102e-01 2.886039e-03 8.397974e-04
##  [296] 8.805031e-01 1.601262e-03 2.975181e-04 1.675197e-03 4.666936e-03
##  [301] 0.000000e+00 4.066326e-02 1.282225e+01 7.289647e-02           NA
##  [306]           NA           NA           NA           NA           NA
##  [311]           NA           NA           NA           NA           NA
##  [316]           NA           NA           NA           NA           NA
##  [321] 4.742699e-02 8.412316e+00 0.000000e+00 6.030371e-02 2.710861e-04
##  [326] 1.208755e-02 5.872052e-04 2.125625e-04 4.398516e+00 4.497988e-04
##  [331] 6.082194e-03 7.404886e-04 4.762854e-04 7.415510e-03 0.000000e+00
##  [336] 1.141565e-02 0.000000e+00 4.611327e-05 4.697990e-04 2.419508e-03
##  [341] 3.182952e-03 3.969916e-01 9.293483e-03 0.000000e+00 5.223531e-05
##  [346] 3.184311e-04 2.694180e-04 5.466482e-04 3.200625e-02 3.932688e-04
##  [351] 5.698217e-05 1.545992e+00 8.242759e-03 3.617871e-03 9.783726e-03
##  [356] 7.782616e-04 2.164211e-05 3.455350e-05 0.000000e+00 0.000000e+00
##  [361] 0.000000e+00 3.013894e-04 3.209975e-06 0.000000e+00 1.095998e-06
##  [366] 5.509275e-05 5.625667e-05 2.053768e-05           NA           NA
##  [371]           NA           NA           NA           NA           NA
##  [376]           NA           NA           NA           NA           NA
##  [381]           NA           NA           NA           NA 0.000000e+00
##  [386] 0.000000e+00 1.927017e-04 1.358902e-04 2.136540e-03 2.975283e-01
##  [391] 3.021045e-02 1.334657e-05 1.325322e-05 1.313681e-03 3.916975e-05
##  [396] 0.000000e+00 0.000000e+00 0.000000e+00 8.974445e-03 5.629170e-03
##  [401] 5.464710e-03 1.950418e-03 2.115390e-02 4.442643e-02 5.113143e-01
##  [406] 1.604250e-01 3.574035e+00 2.688954e-03 8.419747e-04 9.038860e-04
##  [411] 1.884975e-02 5.764811e-02 2.328003e-02 1.418682e+00 3.494470e-02
##  [416] 5.200601e-01 7.504565e-03 0.000000e+00 0.000000e+00 5.257674e-03
##  [421] 1.367134e-01 5.646218e-02 3.592754e-02 2.106605e-03 5.415908e-04
##  [426] 1.021453e-02 0.000000e+00 2.784565e-05 3.221579e-03 1.507068e-02
##  [431] 0.000000e+00 2.835547e+02           NA           NA           NA
##  [436]           NA           NA           NA           NA           NA
##  [441]           NA           NA           NA           NA           NA
##  [446]           NA           NA           NA 0.000000e+00 0.000000e+00
##  [451] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [456] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [461] 0.000000e+00 0.000000e+00 0.000000e+00 4.589366e-03 0.000000e+00
##  [466] 0.000000e+00 0.000000e+00 1.015100e-04 4.966334e-03 8.034808e-01
##  [471] 3.201367e+01 3.032573e+00 2.880813e-03 1.395229e-03 1.989135e-01
##  [476] 2.581824e-02 5.080477e-03 1.077190e-02 3.027028e-01 1.006965e-01
##  [481] 7.922215e-03 3.736521e-02 3.509466e-03 2.790528e-02 1.996459e-01
##  [486] 1.201505e-02 1.291648e-03 2.608283e+00 5.436145e-04 1.094999e-03
##  [491] 3.471435e-02 2.110873e-02 5.443924e-03 8.594053e-02 1.527189e-01
##  [496] 9.577567e-02 5.439541e-03 1.175989e-03 2.360943e-04 2.877247e-04
##  [501] 2.338192e-02 2.867288e-02 4.163127e-05 1.864899e-04 3.071036e-04
##  [506] 3.990729e-03 1.856895e-02 2.187842e-02 4.735446e-02 1.913143e-02
##  [511] 1.068544e-01 5.464626e-01 3.299531e-01 4.650759e-03 1.324547e-02
##  [516] 3.137405e-02 1.516928e-02 4.495872e-05 2.476195e-02 2.761550e-04
##  [521] 1.145984e-01 7.113084e-04 1.141013e-01 2.707748e+00 1.637506e-02
##  [526] 2.359084e-01 7.403000e-01 8.540644e-02 2.797615e-01 9.396115e-03
##  [531] 1.720779e-03 9.410768e-03 7.039015e-02 1.632005e-02 1.431315e-02
##  [536] 5.658414e-04 2.483416e-01 1.121274e-01 1.191185e-01 1.062763e+01
##  [541] 1.689367e+00 7.936612e+00 2.875177e+00 4.250494e-02 5.066803e-05
##  [546] 0.000000e+00 0.000000e+00 0.000000e+00 3.497858e-05 0.000000e+00
##  [551] 5.941968e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [556] 0.000000e+00 6.329297e-06 0.000000e+00 0.000000e+00 0.000000e+00
##  [561] 3.089293e+01 3.857594e+01 1.980507e+01 4.556542e+00 7.397350e+00
##  [566] 2.852476e+01 3.940703e+01 9.922659e+00 8.272573e+00 7.596248e+02
##  [571] 9.289485e+02 5.440447e+01 5.578935e+02 4.543692e+03 6.994693e+01
##  [576] 5.630482e+00 2.073454e-06 0.000000e+00 2.112246e-06 2.133039e-06
##  [581] 1.291254e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [586] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.343557e-04
##  [591] 6.013241e-04 2.252465e-04 0.000000e+00 0.000000e+00 0.000000e+00
##  [596] 1.381467e-04 3.918035e-03 0.000000e+00 1.485328e-04 0.000000e+00
##  [601] 0.000000e+00 1.356906e-02 1.491105e-01 0.000000e+00 0.000000e+00
##  [606] 0.000000e+00 0.000000e+00 0.000000e+00           NA           NA
##  [611]           NA           NA           NA           NA           NA
##  [616]           NA           NA           NA           NA           NA
##  [621]           NA           NA           NA           NA           NA
##  [626] 0.000000e+00 2.101911e-05 0.000000e+00 0.000000e+00 0.000000e+00
##  [631] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [636] 2.354137e-05 0.000000e+00 2.423672e-05 0.000000e+00 0.000000e+00
##  [641] 0.000000e+00 4.862619e-01 0.000000e+00 0.000000e+00 4.686521e-05
##  [646] 2.799670e-03 1.584506e-04 4.514897e-04 1.150053e-02 0.000000e+00
##  [651] 2.252252e-01 4.502476e-02 1.216490e+00 4.279279e+00 1.351351e+00
##  [656] 1.801802e+00 2.033439e-01           NA           NA           NA
##  [661]           NA           NA           NA           NA           NA
##  [666]           NA           NA           NA           NA           NA
##  [671]           NA           NA           NA 0.000000e+00 8.677618e-03
##  [676] 0.000000e+00 8.805762e-04 0.000000e+00 1.617730e-02 0.000000e+00
##  [681] 5.507730e-04 0.000000e+00 0.000000e+00 7.833430e-04 0.000000e+00
##  [686] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00           NA
##  [691]           NA           NA           NA           NA           NA
##  [696]           NA           NA           NA           NA           NA
##  [701]           NA           NA           NA           NA           NA
##  [706]           NA           NA           NA           NA           NA
##  [711]           NA           NA           NA           NA           NA
##  [716]           NA           NA           NA           NA           NA
##  [721]           NA           NA           NA           NA           NA
##  [726]           NA           NA           NA           NA           NA
##  [731]           NA           NA           NA           NA           NA
##  [736]           NA           NA 1.583536e-04 4.784286e-04 3.027641e-04
##  [741] 3.576812e-05 1.506532e-02 9.012772e-05 1.086179e-03 2.548410e-04
##  [746] 3.662039e-05 4.965725e-04 3.690424e-05 0.000000e+00 0.000000e+00
##  [751] 5.952457e-04 2.052705e-04 2.621911e-04 5.067855e-03 0.000000e+00
##  [756] 3.122602e-03 8.045984e-02 5.658610e-03 8.224206e-04 5.735863e-02
##  [761] 1.737685e-02 2.683963e-01 6.153614e-02 3.804641e-02 9.131598e-02
##  [766] 4.877309e-03 6.700428e-03 1.078188e-02 2.550224e-02           NA
##  [771] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.563111e-02
##  [776] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [781] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.299280e-03
##  [786] 2.954702e-03 0.000000e+00 0.000000e+00 0.000000e+00 4.669362e-04
##  [791] 1.693312e-03 0.000000e+00 0.000000e+00 6.921583e-06 0.000000e+00
##  [796] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [801] 1.556087e-05 0.000000e+00           NA           NA           NA
##  [806]           NA           NA           NA           NA           NA
##  [811]           NA           NA           NA           NA           NA
##  [816]           NA           NA           NA 0.000000e+00 0.000000e+00
##  [821] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [826] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
##  [831] 0.000000e+00 0.000000e+00 3.355919e-04 0.000000e+00 1.063478e-01
##  [836] 1.151029e-03 1.746977e-01 8.586292e-01 0.000000e+00 0.000000e+00
##  [841] 7.869964e-02 5.020624e-02 6.028985e-04 0.000000e+00 0.000000e+00
##  [846] 5.242703e-03 2.591378e-03 3.601062e-02 2.092966e-01 0.000000e+00
##  [851]           NA           NA           NA           NA 1.072700e-02
##  [856] 1.159513e-01 1.901079e-02 0.000000e+00 1.324238e-03 2.742967e-02
##  [861] 4.786256e-02 6.219835e-04 1.005814e-02 1.272603e-02 5.833365e-03
##  [866] 2.325506e-01 3.040738e-03 0.000000e+00 1.517454e-04 3.024126e-04
##  [871] 5.273312e-04 0.000000e+00 0.000000e+00 0.000000e+00 7.425007e-03
##  [876] 2.004737e-02 1.476260e-04 0.000000e+00 0.000000e+00 0.000000e+00
##  [881] 0.000000e+00 6.442446e-04 1.776751e-01 1.308352e-02 5.536016e-03
##  [886] 4.702297e-03 3.438056e-01 4.827493e-01 1.376787e-03 4.220718e-03
##  [891] 1.774451e+01 1.840042e-02 4.652810e-03 9.782317e-04 3.142871e-04
##  [896] 4.444331e-02 3.454405e-03 2.494840e-03 0.000000e+00 0.000000e+00
##  [901] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.173754e-04
##  [906] 0.000000e+00 0.000000e+00 1.643681e-02 0.000000e+00 4.521271e-03
##  [911] 3.734871e-02 3.726901e-02 2.087893e-03 0.000000e+00 3.649947e-05
##  [916] 0.000000e+00 3.677165e-05 0.000000e+00 5.010883e-04 9.322528e-05
##  [921] 3.746110e-05 9.410172e-05 0.000000e+00 0.000000e+00 1.905865e-04
##  [926] 0.000000e+00 0.000000e+00 0.000000e+00 1.927228e-03 0.000000e+00
##  [931] 2.356484e-03 4.025209e-04 4.121301e-03 0.000000e+00 2.287782e-02
##  [936] 7.733421e-02 2.379026e-01 9.382526e-03 6.078337e-04 6.287195e-05
##  [941] 5.698064e-05 7.088563e-02 0.000000e+00 8.382823e-02 0.000000e+00
##  [946] 1.446655e-01 1.397696e-02 1.759331e-03 6.713363e-03 1.138422e-04
##  [951] 1.178474e-03 6.089763e-03 0.000000e+00 1.952603e-04 0.000000e+00
##  [956] 6.229046e-03 0.000000e+00 4.617922e-02 0.000000e+00 8.497555e-02
##  [961] 4.063350e-01 1.218401e-03           NA           NA           NA
##  [966]           NA           NA           NA           NA           NA
##  [971]           NA           NA           NA           NA           NA
##  [976]           NA           NA           NA 1.159506e+00 8.553797e+01
##  [981] 2.084746e+02 8.104575e-01 1.651613e+00 5.603668e-01 5.781800e-01
##  [986] 1.302326e+02 9.128631e+00 8.075435e+00 3.236277e+02 1.612956e+02
##  [991] 5.011601e+01 4.567363e+00 7.979208e-02 1.131657e-01 3.016406e-03
##  [996] 4.931812e-01 2.048429e-01 1.970134e-03 1.941998e-02 9.538142e-03
## [1001] 7.006519e-02 1.116663e-01 6.892245e-04 2.800558e-03 9.433800e-04
## [1006] 1.466378e-03 9.438514e-04 5.645636e-03 7.315125e-03 0.000000e+00
## [1011] 8.338523e-05 4.598969e-04 1.210798e-03 6.268097e-02 4.776729e-04
## [1016] 2.615031e-02 4.219178e-03 3.519519e-03 2.640706e-03 1.899299e-03
## [1021] 2.019227e-01 2.009016e-03 7.924695e-02 6.167777e-02 6.938648e-01
## [1026] 1.218031e-01 5.467977e-04 5.284259e-05 1.526554e-04 2.619836e-03
## [1031] 3.587769e-03 1.339766e-03 1.790238e-03 8.490110e-05 1.741443e-04
## [1036] 0.000000e+00 6.138939e-03 5.114721e-05 0.000000e+00 2.601186e-02
## [1041] 6.444226e-04 3.012696e-01           NA           NA           NA
## [1046]           NA           NA           NA           NA           NA
## [1051]           NA           NA           NA           NA           NA
## [1056]           NA           NA           NA 0.000000e+00 0.000000e+00
## [1061] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1066] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1071] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.881485e-02
## [1076] 1.476058e-01 4.594069e-04 5.318456e-05 9.690179e-03 2.508124e-02
## [1081] 1.696087e-02 6.726413e-03 1.524956e-03 4.047998e-05 1.022754e-03
## [1086] 1.053487e-03 2.656813e-01 2.354076e-02 8.257591e-02 1.271065e+00
## [1091] 8.618456e-02 5.794602e-05 0.000000e+00 0.000000e+00 0.000000e+00
## [1096] 1.671080e-02 0.000000e+00 8.062295e-03 6.915830e-05 0.000000e+00
## [1101] 0.000000e+00 2.605194e+00 8.764627e-01 2.303786e-02 9.940734e-03
## [1106] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1111] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1116] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1121] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1126] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1131] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1136] 0.000000e+00 1.829149e-03 1.160342e+00 0.000000e+00 0.000000e+00
## [1141] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1146] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1151] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1156] 0.000000e+00 1.010732e-04 2.015394e-04 5.014177e-05 0.000000e+00
## [1161] 8.153282e-03 0.000000e+00 0.000000e+00 5.835327e-03 1.065814e-02
## [1166] 0.000000e+00 0.000000e+00 0.000000e+00 1.684103e-03 8.198670e-04
## [1171] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1176] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1181] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1186] 0.000000e+00 6.477507e+00 6.149278e-03 1.081058e-02 1.477298e-02
## [1191] 2.696682e-02 2.537203e-01 4.627302e-02 3.696956e-02 3.487722e-03
## [1196] 5.523772e-03 3.208671e-03 4.923296e-03 3.986101e-01 2.109010e-01
## [1201] 3.019632e-02 2.528465e+00 5.848651e-03 5.073078e-03 3.336601e-02
## [1206] 6.223400e-03 8.907737e-02 7.780257e-03 8.697913e-02 6.507896e-03
## [1211] 8.350604e-03 8.885380e-02 6.992550e-02 1.304521e-02 1.084798e-01
## [1216] 6.660358e-01 1.782675e-01 1.580756e-02           NA           NA
## [1221]           NA           NA           NA           NA           NA
## [1226]           NA           NA           NA           NA           NA
## [1231]           NA           NA           NA           NA 3.967809e-03
## [1236] 3.691143e+01 1.974433e-03 4.576440e-05 4.727755e-04 1.307568e-01
## [1241] 1.014496e-01 1.887232e-02 8.100209e-03 1.711320e-03 3.261190e-01
## [1246] 3.450662e-01 0.000000e+00 0.000000e+00 1.685659e-02 3.080786e-03
## [1251] 8.552793e-05 7.147150e-04 1.109107e-03 2.332732e-03 6.227066e-03
## [1256] 9.711611e-02 3.616019e-03 1.269617e-03 1.454895e-03 2.035759e-03
## [1261] 2.283701e-03 7.066988e-01 1.461271e-02 6.180144e-03 6.233442e-03
## [1266] 0.000000e+00 9.545400e-01 7.303090e-03 5.817336e-01 2.665824e+00
## [1271] 9.013881e-02 3.016947e-02 6.679491e-03 1.260152e+01 7.505918e+00
## [1276] 1.194109e-01 2.885586e-02 1.683599e+01 1.853596e-01 3.044140e-01
## [1281] 2.950769e-01 5.724280e-01 2.360514e-02 0.000000e+00 0.000000e+00
## [1286] 6.315112e-04 8.738714e-03 6.275577e-04 5.854523e-03 2.748750e-03
## [1291] 5.492972e-03 7.550223e-04 2.328811e-04 1.038392e-03 1.916137e-01
## [1296] 1.629425e+01 0.000000e+00 2.558736e-02 0.000000e+00 0.000000e+00
## [1301] 0.000000e+00 0.000000e+00 3.534202e-05 0.000000e+00 0.000000e+00
## [1306] 7.165326e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1311] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.752849e-02
## [1316] 3.629907e-01 1.796854e-01 1.786428e-01 3.395054e-01 3.496503e+01
## [1321] 5.767884e+00 8.563321e+01 0.000000e+00 4.067139e-01 0.000000e+00
## [1326] 6.850291e+00 6.487731e+00 2.653066e+01 1.773667e+01 1.773610e+01
## [1331] 0.000000e+00 2.248808e-02 1.426285e-03 3.753485e-05 0.000000e+00
## [1336] 0.000000e+00 0.000000e+00 3.081749e-05 6.620174e-04 1.685138e-05
## [1341] 4.900150e-04 3.793630e-04 1.408249e-03 3.593389e-04 1.174549e-03
## [1346] 6.236236e-02 2.998154e-03 1.856648e-03 4.206826e-03 3.275481e-04
## [1351] 7.670657e-02 2.450743e-05 0.000000e+00 1.275998e-01 8.395659e-05
## [1356] 7.083258e-02 1.064085e+00 1.456723e-01 1.600875e-02 1.211391e-04
## [1361] 6.326415e-04 1.646104e-03 2.011167e-04 7.655295e-02 4.238531e-04
## [1366] 0.000000e+00 5.637040e-03 2.297376e-03 2.874513e-01 3.274717e-03
## [1371] 3.901194e-01 4.922052e+00 4.193748e-03 5.594514e-04 1.904008e-03
## [1376] 2.306194e-01 3.497364e-02 6.676876e-01 0.000000e+00 0.000000e+00
## [1381] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1386] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1391] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00           NA
## [1396]           NA           NA           NA           NA           NA
## [1401]           NA           NA           NA           NA           NA
## [1406]           NA           NA           NA           NA           NA
## [1411]           NA           NA           NA           NA           NA
## [1416]           NA           NA           NA           NA           NA
## [1421]           NA           NA           NA           NA           NA
## [1426]           NA           NA           NA           NA           NA
## [1431]           NA           NA           NA           NA           NA
## [1436]           NA           NA           NA           NA           NA
## [1441]           NA           NA 0.000000e+00 1.805614e-03 0.000000e+00
## [1446] 1.280306e-03 3.849263e-03 0.000000e+00 0.000000e+00 1.377839e-04
## [1451] 0.000000e+00 3.155488e-04 8.933361e-05 0.000000e+00 0.000000e+00
## [1456] 0.000000e+00 4.278679e-04 0.000000e+00 6.664982e-04 1.988357e-02
## [1461] 3.337680e-01 1.830593e-03 1.961482e-04 2.766800e-04 5.259187e-04
## [1466] 5.837328e-03 7.667545e-02 2.090303e+00 1.550095e-02 5.513468e-03
## [1471] 1.416019e-01 1.021904e-03 2.381052e-04 1.545420e-04 0.000000e+00
## [1476] 0.000000e+00 2.436996e-02 6.173947e-02 6.511057e-02 1.013401e+01
## [1481] 0.000000e+00 0.000000e+00 1.008936e-04 5.087345e-05 0.000000e+00
## [1486] 1.603121e-03 5.211129e-04 0.000000e+00 1.150611e-02 3.531869e-02
## [1491] 2.355754e-02 7.731894e-03 0.000000e+00 1.028324e-03 5.915153e-01
## [1496] 5.572265e-02 1.574172e-04 2.730008e-05 2.846625e-05 5.924455e-04
## [1501] 2.453062e-03 1.259282e-04 4.556784e-03 3.610178e-02 4.610295e-02
## [1506] 2.072094e-01           NA           NA           NA           NA
## [1511]           NA           NA           NA           NA           NA
## [1516]           NA           NA           NA           NA           NA
## [1521]           NA           NA 1.695433e-01 3.751236e-04 1.183356e-03
## [1526] 0.000000e+00 2.133398e-03 5.034207e-04 0.000000e+00 3.126728e-05
## [1531] 0.000000e+00 3.058113e-04 3.009756e-05 2.960551e-04 2.928075e-05
## [1536] 2.990995e-02 2.012547e-03 5.429291e-04 0.000000e+00 0.000000e+00
## [1541] 0.000000e+00 3.707411e-03 1.157526e-03 0.000000e+00 0.000000e+00
## [1546] 2.046455e-03 0.000000e+00 1.692631e-03 0.000000e+00 0.000000e+00
## [1551] 2.214202e-03 0.000000e+00 0.000000e+00 0.000000e+00 1.237885e-04
## [1556] 1.271736e-04 2.613110e-05 8.949918e-06 0.000000e+00 4.727766e-05
## [1561] 0.000000e+00 1.500265e-05 0.000000e+00 1.059172e-04 0.000000e+00
## [1566] 1.994283e+00 3.601626e-01 6.438965e-02 5.751316e-01 2.236083e+00
## [1571] 0.000000e+00 1.696029e-04 6.032401e-06 6.480690e-03 1.663721e-04
## [1576] 7.826503e+00 1.427152e-03 1.401421e-04 1.032514e-02 7.446426e-06
## [1581] 1.373431e-02 8.803775e-02 1.353686e-03 7.580058e-03 1.282505e-03
## [1586] 2.672252e-03 3.540008e-02 6.845984e-02 6.550826e-03 6.402839e-02
## [1591] 5.479284e-03 2.596729e-04 5.532688e-03 1.231941e-02 1.479765e-03
## [1596] 2.157319e-03 5.483372e-03 2.275744e-01 2.559872e-02 1.686033e-03
## [1601] 9.274665e-02 2.668457e-01 0.000000e+00 0.000000e+00 0.000000e+00
## [1606] 0.000000e+00 0.000000e+00 0.000000e+00 1.666667e+01 0.000000e+00
## [1611] 5.730659e+00 1.411411e+01 4.345794e+02 1.185897e+01 2.205882e+02
## [1616] 3.117845e+02 0.000000e+00 6.993007e+00 1.230826e-02 1.709619e-03
## [1621] 1.341197e-03 2.045959e+00 1.543419e-03 1.090840e+00 2.003959e-01
## [1626] 6.931568e-04 1.462452e-04 9.676707e-03 2.578374e-04 1.387997e-02
## [1631] 1.854101e-01 6.160361e-03 3.952801e-02 8.019556e-01 4.630980e-04
## [1636] 0.000000e+00 0.000000e+00 0.000000e+00 7.206896e-04 0.000000e+00
## [1641] 2.424378e-04 2.025152e-03 4.280455e-03 2.203614e-02 1.368800e-02
## [1646] 9.692740e-03 1.003558e-03 1.767815e-03 5.085435e-03 5.016303e-02
## [1651]           NA 2.391005e-05 3.017762e-02 1.571144e-02 9.132682e-03
## [1656] 6.294262e-03 3.496210e-01 9.037632e-02 1.150943e-03 3.320589e-04
## [1661] 6.818471e-03 4.048196e-01 1.469855e+00 1.221122e-01 3.073199e-02
## [1666] 4.997694e-01 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1671] 0.000000e+00 1.596883e-03 9.569378e-01 1.202473e-03 9.645364e-04
## [1676] 1.048700e-02 2.431126e-04 5.699147e-04 2.292639e-01 6.403653e-01
## [1681] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.415039e-04
## [1686] 0.000000e+00 0.000000e+00 2.501730e-03 0.000000e+00 0.000000e+00
## [1691] 0.000000e+00 0.000000e+00 1.928919e-03 3.248119e-05 3.765684e-04
## [1696] 2.812485e-03 0.000000e+00 2.193496e-03 2.559798e-04           NA
## [1701]           NA           NA           NA           NA           NA
## [1706]           NA           NA           NA           NA           NA
## [1711]           NA           NA           NA           NA           NA
## [1716]           NA 6.839046e-01 0.000000e+00 0.000000e+00 0.000000e+00
## [1721] 0.000000e+00 2.580502e-03 2.998176e-04 1.179545e-03 4.630219e-03
## [1726] 1.016371e-02 0.000000e+00 0.000000e+00 7.289557e-04 4.931130e-02
## [1731] 4.412392e-01 3.858289e-02 0.000000e+00 0.000000e+00 0.000000e+00
## [1736] 0.000000e+00 7.963051e-02 8.071963e-04 0.000000e+00 0.000000e+00
## [1741] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1746] 0.000000e+00 0.000000e+00 0.000000e+00 4.880399e-04 2.913853e-04
## [1751] 2.719900e-04 2.003973e-03 2.988543e-03 1.947909e-02 2.607073e-03
## [1756] 4.604889e-03 7.199156e-03 3.145234e-02 0.000000e+00 2.012717e-01
## [1761] 3.632564e-02 2.033046e-02 9.334575e-03 2.553933e-02 2.804491e-02
## [1766] 3.307318e-05 3.026363e-05 5.647152e-03 7.097175e-02 9.582416e-02
## [1771] 2.550518e-03 1.750795e-05 1.203332e-03 8.492879e-04 4.308924e+01
## [1776] 4.062696e+00 1.465669e-01 3.738311e-02 3.811443e-02 3.948734e-01
## [1781] 1.144237e-04 2.349580e-04 1.963140e-03 3.633166e-02 3.684289e-01
## [1786] 3.685101e-03 6.597285e-01 6.730026e-04 2.212660e-03 1.555895e-03
## [1791] 6.476548e-04 2.726842e-01 1.742786e-03 1.561234e-01 5.402334e-03
## [1796] 1.799610e-02 8.740246e-03 2.004269e-01 4.437691e-01 3.798697e-03
## [1801] 3.565592e-03 1.443974e+00 1.906990e+01 0.000000e+00 7.502277e-03
## [1806] 1.173094e-03 1.722683e-03 1.368551e-02 1.318879e-02 6.513273e-02
## [1811] 2.151432e-02 2.469387e-02           NA 5.579928e-03 4.515726e-03
## [1816] 6.649917e-02 1.215916e-02 8.632442e-03 6.977247e-03 7.067764e-03
## [1821] 7.890207e-03 5.397705e-03 1.093803e-01 1.958829e-01 4.754575e-01
## [1826] 5.346961e-01 2.747255e-02 4.490150e-02 3.956780e-01 4.132250e-05
## [1831] 8.300822e-02 1.562545e-01 5.968381e-05 3.055037e-03 9.027773e-05
## [1836] 9.072281e-04 6.627915e-04 6.104374e-05 6.117663e-05 2.451000e-05
## [1841] 6.756018e-05 2.465283e-04 1.857708e-05 0.000000e+00 6.398538e-03
## [1846]           NA           NA           NA           NA           NA
## [1851]           NA           NA           NA           NA           NA
## [1856]           NA           NA           NA           NA           NA
## [1861]           NA 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1866] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1871] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1876] 0.000000e+00 0.000000e+00 3.866419e-02 5.964001e-03 6.642653e-03
## [1881] 1.533982e-03 4.369173e-02 2.264760e-03 5.065160e-03 8.648244e-03
## [1886] 1.922508e-03 4.174733e-03 1.602973e-02 4.803567e+00 4.281469e+00
## [1891] 2.575763e+02 5.199467e-01 1.877834e-01 6.856651e-03 3.884619e-01
## [1896] 3.075843e-01 3.853619e-03 1.156880e-01 5.354454e-03 8.237178e-03
## [1901] 6.489703e-01 1.784626e-02 4.936369e-03 7.983836e-02 2.328101e-02
## [1906] 1.070359e-01 3.264792e-01 1.339888e-01 1.734189e+01           NA
## [1911] 2.698187e-03 5.839721e-05 1.380207e-03 7.713475e-04 7.872617e-03
## [1916] 6.135908e-05 4.141879e-05 8.388889e-05 0.000000e+00 0.000000e+00
## [1921] 0.000000e+00 1.524420e-03 1.752520e-04 1.101768e-04 8.861809e-05
## [1926] 0.000000e+00           NA           NA           NA           NA
## [1931]           NA           NA           NA           NA           NA
## [1936]           NA           NA           NA           NA           NA
## [1941]           NA           NA 2.038175e-03 7.383604e-04 4.814746e-03
## [1946] 4.522472e-03 2.518023e-03 2.460451e-01 5.152368e-02 6.899096e-03
## [1951] 1.714936e-02 4.837915e-02 1.935756e-02 2.691504e+01 3.208467e-01
## [1956] 2.698160e-03 2.717945e-02 1.490002e-03 0.000000e+00 0.000000e+00
## [1961] 0.000000e+00 0.000000e+00 0.000000e+00 1.058812e-03 0.000000e+00
## [1966] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1971] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1976] 4.798086e-04 2.964239e-02 1.580431e-04 0.000000e+00 0.000000e+00
## [1981] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.544946e-04
## [1986] 1.935140e-01 2.247823e-02 6.258506e+00 3.005638e-01 7.037951e-02
## [1991] 1.280459e-01 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [1996] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2001] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2006] 0.000000e+00 0.000000e+00 1.274833e-05 0.000000e+00 0.000000e+00
## [2011] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.491379e-05
## [2016] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2021] 0.000000e+00 0.000000e+00 3.858787e-06 5.283211e-03 5.242630e+01
## [2026] 2.965029e-02 1.585685e-03 6.862029e-02 6.794227e-03 1.592778e-02
## [2031] 3.496767e-03 5.935483e-03 1.023958e-04 1.367732e-04 3.572336e-03
## [2036] 1.261529e-01 8.608207e-01 9.238650e-03 9.129192e-03 0.000000e+00
## [2041] 0.000000e+00 2.186384e-02 1.837872e-03 0.000000e+00 3.382955e-04
## [2046] 3.014288e-03 0.000000e+00 1.049164e-02 3.146199e-04 3.406223e-05
## [2051] 2.880922e-05 1.255043e-02 8.892692e-04 3.477237e-03 2.012618e-04
## [2056] 5.887721e-03 0.000000e+00 6.862029e-05 1.518308e-03 1.284060e-03
## [2061] 3.178437e-02 1.912964e-04 6.417756e-05 0.000000e+00 0.000000e+00
## [2066] 4.565317e-02 3.369588e-04 5.483880e-04 5.635267e-04 0.000000e+00
## [2071] 3.488648e-03           NA           NA           NA           NA
## [2076]           NA           NA           NA           NA           NA
## [2081]           NA           NA           NA           NA           NA
## [2086]           NA           NA           NA           NA           NA
## [2091]           NA           NA           NA           NA           NA
## [2096]           NA           NA           NA           NA           NA
## [2101]           NA           NA           NA           NA           NA
## [2106]           NA           NA           NA           NA           NA
## [2111]           NA           NA           NA           NA           NA
## [2116]           NA           NA           NA           NA 2.018624e-05
## [2121] 2.951507e-03 5.799729e-03 2.883685e+01 1.950615e-01 8.589723e-03
## [2126] 3.379110e-04 4.728365e-04 1.224427e-02 1.507991e-01 2.365420e-02
## [2131] 5.454101e-04 4.171625e-05 6.441236e-04 4.518351e-04 1.559508e-04
## [2136] 5.815048e-02 3.275630e-03 1.629181e-02 1.482368e-02 4.399565e-03
## [2141] 9.030486e-05 7.073555e-05 1.891520e-04 1.210986e-02 7.993294e-03
## [2146] 3.163355e-04 1.689299e-01 2.275174e-03 3.989967e-02 1.419403e-02
## [2151] 3.274292e-03 8.598783e-06 8.814178e-05 1.459038e-03 4.192631e-03
## [2156] 2.043898e-02 9.704517e-03 5.011302e-05 6.133909e-04 2.752074e-03
## [2161] 5.331434e-01 1.434651e-03 4.377192e-03 1.225318e-01 3.207497e-01
## [2166] 1.075700e-01 2.537149e+00           NA           NA           NA
## [2171]           NA           NA           NA           NA           NA
## [2176]           NA           NA           NA           NA           NA
## [2181]           NA           NA           NA           NA           NA
## [2186]           NA           NA           NA           NA           NA
## [2191]           NA           NA           NA           NA           NA
## [2196]           NA           NA           NA           NA           NA
## [2201] 0.000000e+00 0.000000e+00 0.000000e+00 5.285580e-04 0.000000e+00
## [2206] 4.295302e-02 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2211] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2216] 0.000000e+00           NA 0.000000e+00 0.000000e+00 0.000000e+00
## [2221] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2226] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2231] 0.000000e+00 0.000000e+00 0.000000e+00           NA           NA
## [2236]           NA           NA           NA           NA           NA
## [2241]           NA           NA           NA           NA           NA
## [2246]           NA           NA           NA           NA 3.872606e-04
## [2251] 2.199901e-04 1.203693e-02 3.349076e-03 1.344186e-01 3.313661e-03
## [2256] 7.954347e-02 4.902133e-04 9.264284e-05 2.595883e-05 0.000000e+00
## [2261] 1.584912e-03 9.042205e+00 1.301776e+00 2.185021e+00 5.907217e-01
## [2266] 4.815290e-02 5.185152e-03 1.395843e-05 0.000000e+00 5.114036e-02
## [2271] 2.742944e-04 1.364498e-03 2.720267e-04 2.722995e-03 2.698484e-05
## [2276] 2.685396e-04 1.473907e-04 2.003764e-03 8.403897e-04 4.645403e-03
## [2281] 5.055648e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2286] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.171921e-02
## [2291] 1.182033e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2296] 0.000000e+00 0.000000e+00 8.387164e-02 1.291131e-01 2.166756e-03
## [2301] 1.002050e-01 2.820761e-02 1.686093e-01 4.910813e-02 7.136633e-04
## [2306] 0.000000e+00 5.642287e-04 5.125143e-04 1.286837e-04 1.127021e-02
## [2311] 1.145804e-02 1.369445e-02 7.832531e-02           NA           NA
## [2316]           NA           NA           NA           NA           NA
## [2321]           NA           NA           NA           NA           NA
## [2326]           NA           NA           NA           NA           NA
## [2331]           NA           NA           NA           NA           NA
## [2336]           NA           NA           NA           NA           NA
## [2341]           NA           NA           NA           NA           NA
## [2346] 6.830316e-03 1.984884e-01 3.846849e-04 7.777290e-04 8.701052e-03
## [2351] 8.045602e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2356] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2361] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2366] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2371] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2376] 0.000000e+00 0.000000e+00           NA           NA           NA
## [2381]           NA           NA           NA           NA           NA
## [2386]           NA           NA           NA           NA           NA
## [2391]           NA           NA           NA 3.084193e-04 1.218910e-04
## [2396] 4.689380e-05 6.087683e-04 1.778488e-04 2.090332e-01 1.114385e-01
## [2401] 7.869635e-05 6.341563e-05 1.679319e-03 1.290208e-01 1.759224e+01
## [2406] 5.256560e-04 2.274537e-03 2.573217e-03 3.249671e-03 7.389244e-03
## [2411] 3.821587e-02 4.696940e-02 1.073555e-01 8.668902e-02 0.000000e+00
## [2416] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2421] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2426] 2.475903e-04 3.312624e-03 2.809682e-02 2.574104e-02 8.133891e-03
## [2431] 6.483901e-04 8.843269e-05 6.462962e-03 5.903575e-03 8.153645e-04
## [2436] 5.039727e-05 6.057514e-05 6.068127e-04 1.617125e-04 0.000000e+00
## [2441] 3.327595e-03 5.286581e+01 6.084446e+01 8.150870e+01 2.103093e+00
## [2446] 2.642008e+00 3.728174e+00 1.051683e-01 1.665237e-01 2.237136e-01
## [2451] 0.000000e+00 1.548547e-02 1.820262e-01 3.277862e+00 7.339353e-01
## [2456] 1.643879e+00 8.859287e+01 9.276071e-02 1.791302e-03 7.633667e-03
## [2461] 2.368031e-01 1.596937e-02 1.977551e-03 2.020431e-03 3.914370e-04
## [2466] 1.012932e-03 7.197788e-02 3.512347e-02 3.000934e-01 1.488316e-02
## [2471] 1.579173e-02 1.560895e+00 1.054839e-01 0.000000e+00 0.000000e+00
## [2476] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2481] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2486] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2491] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.547968e-01
## [2496] 2.190857e-02 8.628895e-05 0.000000e+00 0.000000e+00 0.000000e+00
## [2501] 0.000000e+00 1.867742e-01 1.954569e+00 2.833566e-02 6.193178e-03
## [2506] 2.245084e-04 2.681488e-03 5.291609e-02 3.151468e-04 2.751552e-04
## [2511] 6.397867e-05 3.226322e-05 2.711604e-04 1.093025e-04 1.927955e-01
## [2516] 1.398493e-03 5.559552e-05 3.348876e-05 1.008408e-04 5.620529e-04
## [2521] 6.649993e-03 4.225830e-04 2.808766e-04 1.967738e-02 7.627993e-04
## [2526] 7.848442e-03 9.840268e-03 1.237114e-02 2.643941e-02 1.344172e-02
## [2531] 0.000000e+00 8.067645e-04 5.277670e-04 7.821122e-01 0.000000e+00
## [2536] 9.682077e-03 0.000000e+00 2.401923e-04 3.087479e+00 3.720199e-02
## [2541] 5.356186e-02 4.539117e-04 1.227090e-03 7.787906e-04 8.170486e-04
## [2546] 2.052681e-02 2.733284e-03 2.049784e-03 1.057853e-02 4.599413e-03
## [2551] 3.009100e-01 1.729598e-03 8.892419e-03 3.509326e-05 0.000000e+00
## [2556] 1.222809e-04 2.001096e-03 1.279435e-05 0.000000e+00 0.000000e+00
## [2561] 0.000000e+00 2.796270e-05 3.969829e-02 0.000000e+00 5.958729e-05
## [2566] 3.259906e-02 1.437725e-02 6.005887e-04 3.088679e-02 2.243015e-02
## [2571] 0.000000e+00 3.875636e-02 7.660223e-03 4.673388e-01 3.838677e-01
## [2576] 9.077199e-03 1.170623e-01 5.881054e-03 5.450886e-03 5.389338e-02
## [2581] 6.385774e-01 7.000238e-03 1.593502e-01 1.151813e-02 6.470959e-02
## [2586]           NA           NA           NA           NA           NA
## [2591]           NA           NA           NA           NA           NA
## [2596]           NA           NA           NA           NA           NA
## [2601]           NA 3.440633e-02 3.875285e-03 3.377334e-04 1.383174e-02
## [2606] 6.743124e-02 4.180917e-02 5.202643e-02 0.000000e+00 0.000000e+00
## [2611] 6.055672e-02 1.604946e-01 4.113583e-03 9.705530e-02 0.000000e+00
## [2616] 0.000000e+00 0.000000e+00 2.696573e-03 7.981834e-03 7.591379e-02
## [2621] 3.469650e-03 2.799702e-03 1.837807e-02 6.709057e-02 3.034829e-03
## [2626] 1.333915e-04 4.453739e-04 6.686294e-04 1.102158e-03 5.471667e-02
## [2631] 6.912348e-03 3.585842e-01 7.193883e-01 0.000000e+00 0.000000e+00
## [2636] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2641] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2646] 0.000000e+00 0.000000e+00 4.056343e-03 0.000000e+00 0.000000e+00
## [2651] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2656] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2661] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2666] 1.419237e-04 1.346018e-03 1.435547e-03 2.544168e-03 6.244795e-04
## [2671] 6.097818e-05 6.571019e-05 1.357441e-03 3.079600e-03 2.508076e-04
## [2676] 1.333547e-02 8.502678e-03 2.213351e-04 9.934789e-04 2.360585e-02
## [2681] 4.845762e-04 4.369408e-04 7.303252e-02 9.770762e-03 4.680175e-04
## [2686] 1.510316e-03 9.678278e-06 5.607017e-06 0.000000e+00 4.310513e-06
## [2691] 4.944487e-04 9.126425e-01 1.316948e+00 8.740874e-01 1.200887e-01
## [2696] 4.752812e-02 2.568578e-01 0.000000e+00 0.000000e+00 0.000000e+00
## [2701] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2706] 1.211158e-02 9.976099e-02 0.000000e+00 2.112387e-04 2.147886e-05
## [2711] 2.385082e-01 1.971609e-02 2.502142e-03 0.000000e+00 1.153233e-01
## [2716] 8.085836e-04 2.097795e-02 5.573587e-02 9.216262e-02 3.871428e-03
## [2721] 4.885284e-03 4.165628e-03 1.050386e+00 1.940682e-01 7.707415e-04
## [2726] 5.114545e-04 1.105322e+00 1.939111e+00 1.953056e-01 1.744535e+00
## [2731] 2.325360e-03 0.000000e+00 0.000000e+00 2.795586e+00 2.912961e+00
## [2736] 8.500992e-02 0.000000e+00 1.037654e-02 2.156953e-01 9.131450e-01
## [2741] 5.073009e-01 3.076819e-02 8.595998e-03 1.573250e+01 3.485754e-02
## [2746] 1.661385e-03           NA           NA           NA           NA
## [2751]           NA           NA           NA           NA           NA
## [2756]           NA           NA           NA           NA           NA
## [2761]           NA           NA           NA           NA           NA
## [2766]           NA           NA           NA           NA           NA
## [2771]           NA           NA           NA           NA           NA
## [2776]           NA           NA           NA           NA           NA
## [2781]           NA           NA           NA           NA           NA
## [2786]           NA           NA           NA           NA           NA
## [2791]           NA           NA           NA           NA           NA
## [2796]           NA           NA           NA           NA           NA
## [2801]           NA           NA           NA           NA           NA
## [2806]           NA           NA           NA           NA           NA
## [2811] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2816] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2821] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2826] 0.000000e+00 7.029001e-03 2.128962e-02 0.000000e+00 0.000000e+00
## [2831] 1.622392e-01 4.096294e-02 0.000000e+00 7.318501e-03 3.211999e+00
## [2836] 3.107038e-02 2.816525e+00 2.899744e-03 3.324514e-03 9.892430e-04
## [2841] 8.812531e-04 3.244910e-01 1.473756e-01 3.863241e-02 0.000000e+00
## [2846] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2851] 0.000000e+00 0.000000e+00 1.021450e-01 0.000000e+00 8.292958e-02
## [2856] 5.207367e-02 3.698029e-02 4.848354e-02           NA           NA
## [2861]           NA           NA           NA           NA           NA
## [2866]           NA           NA           NA           NA           NA
## [2871]           NA           NA           NA           NA           NA
## [2876]           NA           NA           NA           NA           NA
## [2881]           NA           NA           NA           NA           NA
## [2886]           NA           NA           NA           NA           NA
## [2891]           NA           NA           NA           NA           NA
## [2896]           NA           NA           NA           NA           NA
## [2901]           NA           NA           NA           NA           NA
## [2906]           NA 5.569755e-03 5.758253e-04 2.309742e-03 6.095264e-03
## [2911] 9.277411e-02 1.137202e+01 1.932164e-04 1.012646e-02 4.204000e-03
## [2916] 3.706561e-03 3.593801e-03 2.983358e-04 7.713196e-03 2.250447e+01
## [2921] 9.317892e-01 2.019957e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2926] 0.000000e+00 0.000000e+00 6.523507e-01 6.174006e-02 0.000000e+00
## [2931] 1.815455e-02 1.615328e-03 3.244947e-01 2.426138e-04 7.899384e-03
## [2936] 2.421828e-01 4.277802e-03 1.213361e-02

5. Use of data manipulation techniques and filtering rows

The following is the data of five variables including Country, Year, Measles, Population, Measle_Percentage in the year 2015.

## # A tibble: 183 × 5
##    Country              Year Measles Population Measle_Percentage
##    <chr>               <dbl>   <dbl>      <dbl>             <dbl>
##  1 Afghanistan          2015    1154   33736494          0.00342 
##  2 Albania              2015       0      28873          0       
##  3 Algeria              2015      63   39871528          0.000158
##  4 Angola               2015     118    2785935          0.00424 
##  5 Antigua and Barbuda  2015       0         NA         NA       
##  6 Argentina            2015       0   43417765          0       
##  7 Armenia              2015      33     291695          0.0113  
##  8 Australia            2015      74   23789338          0.000311
##  9 Austria              2015     309    8633169          0.00358 
## 10 Azerbaijan           2015       0    9649341          0       
## # ℹ 173 more rows

6. New data frame by joining the dependent and independent variables

The following is the new data frame by created by joining dependent and independent variables from the dataset.

##      Country                    Year   Population  Measles
## [1,] "United States Of America" "2014" "318563456" "667"  
## [2,] "United States Of America" "2015" "320635163" "188"  
## [3,] "Canada"                   "2014" "35152370"  "400"  
## [4,] "Canada"                   "2015" "35540419"  "196"

7. Removing missing values

Missing values are removed from the dataset and printed below.

##                         Country                            Year 
##                               0                               0 
##                          Status                 Life expectancy 
##                               0                              10 
##                 Adult Mortality                   infant deaths 
##                              10                               0 
##                         Alcohol          percentage expenditure 
##                             194                               0 
##                     Hepatitis B                         Measles 
##                             553                               0 
##                             BMI               under-five deaths 
##                              34                               0 
##                           Polio               Total expenditure 
##                              19                             226 
##                      Diphtheria                        HIV/AIDS 
##                              19                               0 
##                             GDP                      Population 
##                             448                             652 
##            thinness  1-19 years              thinness 5-9 years 
##                              34                              34 
## Income composition of resources                       Schooling 
##                             167                             163 
##               Measle_Percentage 
##                             652
## # A tibble: 1,649 × 23
##    Country      Year Status  `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>       <dbl> <chr>               <dbl>             <dbl>           <dbl>
##  1 Afghanistan  2015 Develo…              65                 263              62
##  2 Afghanistan  2014 Develo…              59.9               271              64
##  3 Afghanistan  2013 Develo…              59.9               268              66
##  4 Afghanistan  2012 Develo…              59.5               272              69
##  5 Afghanistan  2011 Develo…              59.2               275              71
##  6 Afghanistan  2010 Develo…              58.8               279              74
##  7 Afghanistan  2009 Develo…              58.6               281              77
##  8 Afghanistan  2008 Develo…              58.1               287              80
##  9 Afghanistan  2007 Develo…              57.5               295              82
## 10 Afghanistan  2006 Develo…              57.3               295              84
## # ℹ 1,639 more rows
## # ℹ 17 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>, Measle_Percentage <dbl>

8. Identifying and removing duplicated data

Duplicated data are removed from the dataset and printed below

##    [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
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## # A tibble: 2,938 × 23
##    Country      Year Status  `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>       <dbl> <chr>               <dbl>             <dbl>           <dbl>
##  1 Afghanistan  2015 Develo…              65                 263              62
##  2 Afghanistan  2014 Develo…              59.9               271              64
##  3 Afghanistan  2013 Develo…              59.9               268              66
##  4 Afghanistan  2012 Develo…              59.5               272              69
##  5 Afghanistan  2011 Develo…              59.2               275              71
##  6 Afghanistan  2010 Develo…              58.8               279              74
##  7 Afghanistan  2009 Develo…              58.6               281              77
##  8 Afghanistan  2008 Develo…              58.1               287              80
##  9 Afghanistan  2007 Develo…              57.5               295              82
## 10 Afghanistan  2006 Develo…              57.3               295              84
## # ℹ 2,928 more rows
## # ℹ 17 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>, Measle_Percentage <dbl>

9. Reorder multiple rows in descending order

Countries are arranged in descending orders of population below

## # A tibble: 2,938 × 23
##    Country   Year Status     `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>    <dbl> <chr>                  <dbl>             <dbl>           <dbl>
##  1 Zimbabwe  2015 Developing              67                 336              22
##  2 Zimbabwe  2014 Developing              59.2               371              23
##  3 Zimbabwe  2011 Developing              54.9               464              28
##  4 Zimbabwe  2008 Developing              48.2               632              30
##  5 Zimbabwe  2006 Developing              45.4                 7              28
##  6 Zimbabwe  2004 Developing              44.3               723              27
##  7 Zimbabwe  2003 Developing              44.5               715              26
##  8 Zimbabwe  2001 Developing              45.3               686              25
##  9 Zimbabwe  2000 Developing              46                 665              24
## 10 Zimbabwe  2010 Developing              52.4               527              29
## # ℹ 2,928 more rows
## # ℹ 17 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>, Measle_Percentage <dbl>

10. Renaming column names

The “Measles” and “Status” columns of the dataset are renamed as “Measles_case” and “Country_Status” as showing below.

## # A tibble: 2,938 × 23
##    Country      Year Country_Status `Life expectancy` `Adult Mortality`
##    <chr>       <dbl> <chr>                      <dbl>             <dbl>
##  1 Afghanistan  2015 Developing                  65                 263
##  2 Afghanistan  2014 Developing                  59.9               271
##  3 Afghanistan  2013 Developing                  59.9               268
##  4 Afghanistan  2012 Developing                  59.5               272
##  5 Afghanistan  2011 Developing                  59.2               275
##  6 Afghanistan  2010 Developing                  58.8               279
##  7 Afghanistan  2009 Developing                  58.6               281
##  8 Afghanistan  2008 Developing                  58.1               287
##  9 Afghanistan  2007 Developing                  57.5               295
## 10 Afghanistan  2006 Developing                  57.3               295
## # ℹ 2,928 more rows
## # ℹ 18 more variables: `infant deaths` <dbl>, Alcohol <dbl>,
## #   `percentage expenditure` <dbl>, `Hepatitis B` <dbl>, Measles_case <dbl>,
## #   BMI <dbl>, `under-five deaths` <dbl>, Polio <dbl>,
## #   `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>, GDP <dbl>,
## #   Population <dbl>, `thinness  1-19 years` <dbl>, `thinness 5-9 years` <dbl>,
## #   `Income composition of resources` <dbl>, Schooling <dbl>, …

11. Adding new variables using a mathematical function

A new variable named “Population_Double” is added by doubling the variable named “Population” as shown below.

## # A tibble: 2,938 × 24
##    Country      Year Status  `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>       <dbl> <chr>               <dbl>             <dbl>           <dbl>
##  1 Afghanistan  2015 Develo…              65                 263              62
##  2 Afghanistan  2014 Develo…              59.9               271              64
##  3 Afghanistan  2013 Develo…              59.9               268              66
##  4 Afghanistan  2012 Develo…              59.5               272              69
##  5 Afghanistan  2011 Develo…              59.2               275              71
##  6 Afghanistan  2010 Develo…              58.8               279              74
##  7 Afghanistan  2009 Develo…              58.6               281              77
##  8 Afghanistan  2008 Develo…              58.1               287              80
##  9 Afghanistan  2007 Develo…              57.5               295              82
## 10 Afghanistan  2006 Develo…              57.3               295              84
## # ℹ 2,928 more rows
## # ℹ 18 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>, Measle_Percentage <dbl>, Population_Double <dbl>

12. Training set using random data generator engine

A training set is generated from the existing dataset and is shown below.

## # A tibble: 30 × 24
##    Country       Year Status `Life expectancy` `Adult Mortality` `infant deaths`
##    <chr>        <dbl> <chr>              <dbl>             <dbl>           <dbl>
##  1 Venezuela (…  2005 Devel…              73.6               158               9
##  2 Afghanistan   2006 Devel…              57.3               295              84
##  3 France        2005 Devel…              81                  93               3
##  4 Bosnia and …  2002 Devel…              75.4                11               0
##  5 Trinidad an…  2005 Devel…              69.5               189               0
##  6 Jordan        2006 Devel…              72.8               121               4
##  7 Equatorial …  2015 Devel…              58.2                32               3
##  8 Costa Rica    2008 Devel…              78.9                99               1
##  9 Austria       2014 Devel…              81.4                66               0
## 10 Indonesia     2000 Devel…              66.3               188             187
## # ℹ 20 more rows
## # ℹ 18 more variables: Alcohol <dbl>, `percentage expenditure` <dbl>,
## #   `Hepatitis B` <dbl>, Measles <dbl>, BMI <dbl>, `under-five deaths` <dbl>,
## #   Polio <dbl>, `Total expenditure` <dbl>, Diphtheria <dbl>, `HIV/AIDS` <dbl>,
## #   GDP <dbl>, Population <dbl>, `thinness  1-19 years` <dbl>,
## #   `thinness 5-9 years` <dbl>, `Income composition of resources` <dbl>,
## #   Schooling <dbl>, Measle_Percentage <dbl>, Population_Double <dbl>

13. Summary statistics

The summary statistics of the dataset is printed below

##    Country               Year         Status          Life expectancy
##  Length:2938        Min.   :2000   Length:2938        Min.   :36.30  
##  Class :character   1st Qu.:2004   Class :character   1st Qu.:63.10  
##  Mode  :character   Median :2008   Mode  :character   Median :72.10  
##                     Mean   :2008                      Mean   :69.22  
##                     3rd Qu.:2012                      3rd Qu.:75.70  
##                     Max.   :2015                      Max.   :89.00  
##                                                       NA's   :10     
##  Adult Mortality infant deaths       Alcohol        percentage expenditure
##  Min.   :  1.0   Min.   :   0.0   Min.   : 0.0100   Min.   :    0.000     
##  1st Qu.: 74.0   1st Qu.:   0.0   1st Qu.: 0.8775   1st Qu.:    4.685     
##  Median :144.0   Median :   3.0   Median : 3.7550   Median :   64.913     
##  Mean   :164.8   Mean   :  30.3   Mean   : 4.6029   Mean   :  738.251     
##  3rd Qu.:228.0   3rd Qu.:  22.0   3rd Qu.: 7.7025   3rd Qu.:  441.534     
##  Max.   :723.0   Max.   :1800.0   Max.   :17.8700   Max.   :19479.912     
##  NA's   :10                       NA's   :194                             
##   Hepatitis B       Measles              BMI        under-five deaths
##  Min.   : 1.00   Min.   :     0.0   Min.   : 1.00   Min.   :   0.00  
##  1st Qu.:77.00   1st Qu.:     0.0   1st Qu.:19.30   1st Qu.:   0.00  
##  Median :92.00   Median :    17.0   Median :43.50   Median :   4.00  
##  Mean   :80.94   Mean   :  2419.6   Mean   :38.32   Mean   :  42.04  
##  3rd Qu.:97.00   3rd Qu.:   360.2   3rd Qu.:56.20   3rd Qu.:  28.00  
##  Max.   :99.00   Max.   :212183.0   Max.   :87.30   Max.   :2500.00  
##  NA's   :553                        NA's   :34                       
##      Polio       Total expenditure   Diphtheria       HIV/AIDS     
##  Min.   : 3.00   Min.   : 0.370    Min.   : 2.00   Min.   : 0.100  
##  1st Qu.:78.00   1st Qu.: 4.260    1st Qu.:78.00   1st Qu.: 0.100  
##  Median :93.00   Median : 5.755    Median :93.00   Median : 0.100  
##  Mean   :82.55   Mean   : 5.938    Mean   :82.32   Mean   : 1.742  
##  3rd Qu.:97.00   3rd Qu.: 7.492    3rd Qu.:97.00   3rd Qu.: 0.800  
##  Max.   :99.00   Max.   :17.600    Max.   :99.00   Max.   :50.600  
##  NA's   :19      NA's   :226       NA's   :19                      
##       GDP              Population        thinness  1-19 years
##  Min.   :     1.68   Min.   :3.400e+01   Min.   : 0.10       
##  1st Qu.:   463.94   1st Qu.:1.958e+05   1st Qu.: 1.60       
##  Median :  1766.95   Median :1.387e+06   Median : 3.30       
##  Mean   :  7483.16   Mean   :1.275e+07   Mean   : 4.84       
##  3rd Qu.:  5910.81   3rd Qu.:7.420e+06   3rd Qu.: 7.20       
##  Max.   :119172.74   Max.   :1.294e+09   Max.   :27.70       
##  NA's   :448         NA's   :652         NA's   :34          
##  thinness 5-9 years Income composition of resources   Schooling    
##  Min.   : 0.10      Min.   :0.0000                  Min.   : 0.00  
##  1st Qu.: 1.50      1st Qu.:0.4930                  1st Qu.:10.10  
##  Median : 3.30      Median :0.6770                  Median :12.30  
##  Mean   : 4.87      Mean   :0.6276                  Mean   :11.99  
##  3rd Qu.: 7.20      3rd Qu.:0.7790                  3rd Qu.:14.30  
##  Max.   :28.60      Max.   :0.9480                  Max.   :20.70  
##  NA's   :34         NA's   :167                     NA's   :163    
##  Measle_Percentage  Population_Double  
##  Min.   :   0.000   Min.   :6.800e+01  
##  1st Qu.:   0.000   1st Qu.:3.916e+05  
##  Median :   0.001   Median :2.773e+06  
##  Mean   :   4.771   Mean   :2.551e+07  
##  3rd Qu.:   0.025   3rd Qu.:1.484e+07  
##  Max.   :4543.692   Max.   :2.588e+09  
##  NA's   :652        NA's   :652

14. Statistical functions using one numerical variable

The statistical functions including the mean, median, mode, and range of the variable “Life expectancy” is displayed below

## [1] 69.22493
## [1] 72.1
## [1] 73
## [1] 36.3 89.0

15. A scatter plot of GDP vs Life expextancy

The scatter plot shows a positive relationship between GDP and life expectancy, where higher GDP is generally associated with higher life expectancy. However, most data points cluster at lower GDP values, indicating many countries have low GDP but varying life expectancies.

16. A bar plot of Measles case in 2015

The graph shows that Afghanistan had by far the highest number of measles cases in 2015, reaching nearly 1200 cases. In contrast, other countries such as Algeria and Azerbaijan had noticeably fewer cases, around 100–300, while most other countries reported very low numbers.

17. Finding the correlation between measles cases from 2000-2015 by applying least square linear regression model

The graph shows that most countries reported relatively low measles cases from 2000 to 2015, with a few countries experiencing large outbreaks exceeding 100,000 cases in certain years. There is no clear upward or downward trend, but significant variability exists between countries and years.