Pikachu

Descriptive Statistics

##        ID             Name               Total              HP        
##  Min.   :   1.0   Length:1194        Min.   : 175.0   Min.   :  1.00  
##  1st Qu.: 235.2   Class :character   1st Qu.: 330.0   1st Qu.: 52.00  
##  Median : 486.5   Mode  :character   Median : 460.5   Median : 70.00  
##  Mean   : 492.7                      Mean   : 441.2   Mean   : 70.88  
##  3rd Qu.: 741.8                      3rd Qu.: 520.0   3rd Qu.: 85.00  
##  Max.   :1010.0                      Max.   :1125.0   Max.   :255.00  
##                                                                       
##      Attack          Defense           SpAtk            SpDef       
##  Min.   :  5.00   Min.   :  5.00   Min.   : 10.00   Min.   : 20.00  
##  1st Qu.: 56.00   1st Qu.: 51.25   1st Qu.: 50.00   1st Qu.: 50.00  
##  Median : 80.00   Median : 70.00   Median : 65.00   Median : 70.00  
##  Mean   : 80.95   Mean   : 74.59   Mean   : 72.88   Mean   : 72.12  
##  3rd Qu.:100.00   3rd Qu.: 90.00   3rd Qu.: 95.00   3rd Qu.: 90.00  
##  Max.   :190.00   Max.   :250.00   Max.   :194.00   Max.   :250.00  
##                                                                     
##      Speed           Type1              Type2               Height       
##  Min.   :  5.00   Length:1194        Length:1194        Min.   :  0.100  
##  1st Qu.: 45.00   Class :character   Class :character   1st Qu.:  0.600  
##  Median : 67.50   Mode  :character   Mode  :character   Median :  1.000  
##  Mean   : 69.78                                         Mean   :  1.377  
##  3rd Qu.: 90.75                                         3rd Qu.:  1.600  
##  Max.   :200.00                                         Max.   :100.000  
##                                                                          
##      Weight      
##  Min.   :  0.10  
##  1st Qu.:  9.00  
##  Median : 30.00  
##  Mean   : 73.28  
##  3rd Qu.: 75.50  
##  Max.   :999.90  
##  NA's   :1

Here’s a summary of the key statistical measures for the Pokémon dataset

Count

  • Total Pokémon: There are 1,194 Pokémon in the dataset.

Mean (Average) Values

  • Total Stats: 441.21
  • HP: 70.88
  • Attack: 80.95
  • Defense: 74.59
  • Special Attack (SpAtk): 72.88
  • Special Defense (SpDef): 72.12
  • Speed: 69.78
  • Height: 1.38 meters
  • Weight: 73.28 kilograms

Standard Deviation

  • This indicates the amount of variation in the dataset. For instance, the standard deviation of Total Stats is 121.02, showing a wide range in Pokémon abilities.

Min/Max Values

  • Total Stats: Range from 175 to 1125.
  • HP: Range from 1 to 255.
  • Weight: The lightest Pokémon weighs 0.1 kg, while the heaviest is 999.9 kg.

Insights and Significance

  • The average Total Stats figure (around 441) suggests a moderate level of overall ability among the Pokémon in this dataset.
  • The wide range in Total Stats (from 175 to 1125) highlights the significant variability in Pokémon abilities, which can be crucial for players selecting Pokémon for battles.
  • The variation in weight and height might be interesting to explore in relation to other stats like Speed or Attack, as it could reveal if larger Pokémon tend to be stronger or slower, for example.

Practical Application

  • Players could use this information to make informed decisions about which Pokémon to train or use in battles, depending on the desired balance of abilities (like prioritizing Attack over Speed).

Statistical Comparison of Pokémon Types:

Performing statistical tests to compare the average stats (like HP, Attack, Defense) across different Pokémon types. This can help in understanding if certain types are generally stronger or weaker in certain aspects.

## $HP
##      F_Value      P_Value 
## 4.071367e+00 5.390924e-08 
## 
## $Attack
##      F_Value      P_Value 
## 6.634910e+00 2.424304e-15 
## 
## $Defense
##      F_Value      P_Value 
## 1.058490e+01 5.585211e-27 
## 
## $SpAtk
##      F_Value      P_Value 
## 1.302875e+01 4.086843e-34 
## 
## $SpDef
##      F_Value      P_Value 
## 4.002841e+00 8.323850e-08 
## 
## $Speed
##      F_Value      P_Value 
## 6.261766e+00 2.991814e-14

Analysis of Pokémon Types and Combat Stats

Average Combat Stats by Pokémon Type

  • The heatmap visually represents the average values of combat stats (HP, Attack, Defense, Special Attack, Special Defense, Speed) for each Pokémon type.
  • It reveals variations in average stats across different types, suggesting that some types may have advantages in certain stats.

ANOVA Results

  • Purpose: We performed ANOVA (Analysis of Variance) tests for each combat stat to determine if there are statistically significant differences in these stats across Pokémon types.
  • Significant Differences: The results show significant differences in all combat stats across Pokémon types, with p-values of 0.0, which are well below any standard threshold for significance like 0.05.
  • Interpreting F-Values: The F-values indicate the ratio of between group variance to within group variance. Higher values suggest greater variability between types compared to within types for that stat.

Conclusion from This Analysis

  • There are statistically significant differences in all combat abilities (HP, Attack, Defense, Special Attack, Special Defense, Speed) across different Pokémon types.
  • This implies that the type of a Pokémon is a critical factor in determining its combat capabilities.

Hypothesis Testing

We aim to examine if there is a statistically significant difference in the average Attack stat between two specific types of Pokémon: ‘Fire’ type and ‘Water’ type.

Hypothesis

  • Null Hypothesis (H0): There is no difference in the average Attack stat between Fire and Water type Pokémon.
  • Alternative Hypothesis (H1): There is a significant difference in the average Attack stat between Fire and Water type Pokémon.

Approach

We will use a t-test to compare the means of these two groups. A prerequisite for conducting the t-test is to check if the variances of the two groups are equal, as this is an assumption of the t-test.

Implementation Plan

  1. Data Filtering: Filter the dataset for ‘Fire’ and ‘Water’ type Pokémon.
  2. Variance Check: Examine the variances of the Attack stat for both groups to ensure they are similar.
  3. T-Test: Perform a t-test to compare the average Attack stats of Fire and Water type Pokémon.
## 
##  Welch Two Sample t-test
## 
## data:  fire_pokemon$Attack and water_pokemon$Attack
## t = 2.065, df = 189.68, p-value = 0.04029
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##   0.3478652 15.1955934
## sample estimates:
## mean of x mean of y 
##  84.06316  76.29143

Hypothesis Testing Results

Variances

  • Variance in Attack for Fire type Pokémon: 884.61
  • Variance in Attack for Water type Pokémon: 849.25

T-test Result

  • T-statistic: 2.065
  • P-value: 0.0403

Interpretation

The variances in the Attack stats for Fire and Water type Pokémon are quite similar. The t-test (specifically Welch’s t-test, which does not assume equal variances) gives us a p-value of about 0.0403. Since this p-value is less than 0.05 (a common threshold for statistical significance), we reject the null hypothesis. This suggests that there is a statistically significant difference in the average Attack stat between Fire and Water type Pokémon.

Insights and Significance

The discovery shows that a Pokémon’s type, like Fire or Water, affects its Attack stats. This is important for players choosing Pokémon for battles, as some attack strengths work better in certain fights.

Practical Application

Pokémon players can use this insight to strategically select Fire or Water type Pokémon based on their attack requirements in different gaming scenarios.

The bar chart above illustrates the average Attack stats for Fire and Water type Pokémon, supporting the results of our hypothesis test. It visually demonstrates the significant difference in average Attack between these two types, with Fire type Pokémon showing a higher average Attack stat compared to Water type Pokémon


Linear Regression Analysis

We’ll explore how different factors contribute to a Pokémon’s Total Stats, focusing on the relationship between Total Stats and other attributes like HP, Attack, Defense, Special Attack (SpAtk), Special Defense (SpDef), and Speed.

Objective

The goal is to determine the influence of HP, Attack, Defense, SpAtk, SpDef, and Speed on a Pokémon’s Total Stats.

Methodology

  • We’ll fit a linear regression model with Total Stats as the dependent variable.
  • The independent variables will include HP, Attack, Defense, SpAtk, SpDef, and Speed.
  • This will help in understanding the contribution of each of these factors to a Pokémon’s overall ability.
## 
## Call:
## lm(formula = y ~ HP + Attack + Defense + SpAtk + SpDef + Speed, 
##     data = pokemon_data)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -3.542e-12 -1.030e-13 -5.000e-14 -1.000e-15  5.207e-11 
## 
## Coefficients:
##              Estimate Std. Error   t value Pr(>|t|)    
## (Intercept) 1.768e-12  1.716e-13 1.030e+01   <2e-16 ***
## HP          1.000e+00  1.970e-15 5.077e+14   <2e-16 ***
## Attack      1.000e+00  1.856e-15 5.387e+14   <2e-16 ***
## Defense     1.000e+00  1.962e-15 5.096e+14   <2e-16 ***
## SpAtk       1.000e+00  1.743e-15 5.738e+14   <2e-16 ***
## SpDef       1.000e+00  2.242e-15 4.461e+14   <2e-16 ***
## Speed       1.000e+00  1.752e-15 5.708e+14   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.527e-12 on 1187 degrees of freedom
## Multiple R-squared:      1,  Adjusted R-squared:      1 
## F-statistic: 1.248e+30 on 6 and 1187 DF,  p-value: < 2.2e-16

Linear Regression Analysis Results

Model Summary

  • Dependent Variable: Total Stats
  • R-squared: 1.000
    This indicates that 100% of the variability in Total Stats is explained by the model, which is expected since Total Stats is a sum of the other stats.
  • Coefficients: The coefficients for HP, Attack, Defense, SpAtk, SpDef, and Speed are all 1.000. This is logical because the Total Stats is a direct sum of these attributes.

Interpretation

The linear regression analysis shows that each stat (HP, Attack, Defense, SpAtk, SpDef, and Speed) adds the same amount to a Pokémon’s Total Stats. This makes sense because Total Stats is just the total of these individual stats.

Insights and Significance

  • The analysis shows that every stat is equally important for a Pokémon’s overall strength. This is key for players who look at Pokémon with high Total Stats, highlighting that each attribute contributes equally to the total.

Practical Application

Players can use this insight to evaluate the strengths of different Pokémon, especially when looking for a balanced set of abilities. It might also help in deciding which stats to prioritize during Pokémon training and development.

The heatmap above displays the correlation matrix for Total Stats and the individual stats (HP, Attack, Defense, Special Attack, Special Defense, and Speed) of the Pokémon

The heatmap’s cells display the correlation coefficients between variables. A coefficient of 1 means a perfect positive correlation. As expected, there are high correlations between each stat and the Total Stats, confirming our regression analysis findings that all these stats equally contribute to the Total Stats.


Correlation Between Physical Characteristics and Combat Stats

Now we’ll analyze the correlation between physical characteristics (Height and Weight) and combat abilities. This will help us understand if physical size and weight are indicative of a Pokémon’s combat strength

##               HP    Attack   Defense     SpAtk     SpDef      Speed
## Height 0.4666009 0.4236672 0.3706481 0.3711797 0.3192902 0.18435863
## Weight 0.4640446 0.4236130 0.4745743 0.2289593 0.3023970 0.05503232

Correlation Analysis Between Physical Characteristics and Combat Stats

Correlation Coefficients:

Height

  • HP, Defense, and Special Defense: Moderately positive correlation.
  • Attack, Special Attack, and Speed: Weaker positive correlation.

Weight

  • HP, Attack, and Defense: Stronger positive correlation.
  • Special Defense: Moderate correlation.
  • Special Attack: Weaker correlation.
  • Speed: Very weak correlation.

Interpretation

  • Endurance: Larger (taller and heavier) Pokémon tend to have higher HP, suggesting that size contributes to overall endurance.
  • Strength and Resilience: This pattern is also seen in Attack and Defense stats, suggesting that larger Pokémon are often stronger and more resilient
  • Speed: The weakest correlation is between Weight and Speed, hinting that heavier Pokémon might not be as fast.

Conclusion from This Analysis

Physical size, especially weight, appears to significantly influence a Pokémon’s combat abilities, particularly in terms of HP, Attack, and Defense. However, being heavier does not necessarily correlate with being faster. This analysis provides valuable insights for selecting Pokémon based on their physical attributes in relation to their combat capabilities.


Impact of Evolution on Pokémon Stats

We’ll analyze the impact of evolution on Pokémon stats. We will compare the stats of Pokémon before and after evolution to see how they change.

## # A tibble: 152 × 7
##    BaseName  Avg_Change_HP Avg_Change_Attack Avg_Change_Defense Avg_Change_SpAtk
##    <chr>             <dbl>             <dbl>              <dbl>            <dbl>
##  1 Abomasnow             0                40                 30               40
##  2 Absol                 0                20                  0               40
##  3 Aegislash             0                90                -90               90
##  4 Aerodact…             0                30                 20               10
##  5 Aggron                0                30                 50                0
##  6 Alakazam              0                 0                 20               40
##  7 Altaria               0                40                 20               40
##  8 Ampharos              0                20                 20               50
##  9 Arcanine              5                 5                  0               -5
## 10 Articuno              0                 0                -15               30
## # ℹ 142 more rows
## # ℹ 2 more variables: Avg_Change_SpDef <dbl>, Avg_Change_Speed <dbl>

Average Change in Combat Stats Due to Evolution

  • The bar chart shows the average changes in combat stats (HP, Attack, Defense, Special Attack, Special Defense, Speed) due to evolution. Interestingly, the changes are small. There are minor increases in HP, Defense, and Speed, while Attack, Special Attack, and Special Defense slightly decrease on average.

Interpretation

  • The minor changes indicate that in this dataset, evolution doesn’t greatly change a Pokémon’s combat abilities.
  • This might be because the dataset includes Mega Evolutions, which are temporary and may not change stats much, or it might not cover all evolution stages for some Pokémon.

Conclusion from This Analysis

  • In this dataset, Pokémon evolution leads to small average changes in combat stats. This suggests that while evolution can alter abilities and appearance, it might not significantly change a Pokémon’s overall combat effectiveness just by itself.

Legendary vs Non-Legendary Pokémon

Average Combat Stats - Legendary vs. Non-Legendary Pokémon

  • The bar chart shows the average values for each combat stat (HP, Attack, Defense, Special Attack, Special Defense, Speed) for both Legendary and Non-Legendary Pokémon.
  • Legendary Pokémon have higher averages in all combat stats compared to Non-Legendary Pokémon.

Interpretation

  • Legendary Pokémon typically have better combat abilities in all areas. They show higher HP, Attack, Defense, Special Attack, Special Defense, and Speed. This supports the common view of Legendary Pokémon as more powerful and rare in the Pokémon world.

Confidence Interval Analysis for Pokémon Speed

We’re going to figure out a range of numbers that tells us about the average speed of a certain kind of Pokémon. This range is called a confidence interval. It helps us guess where the real average speed might be. We’ll be 95% sure that the actual average speed falls within this range.

Objective

Our objective is to calculate the 95% confidence interval for the average Speed of Electric type Pokémon. This involves determining a range of values within which we can be 95% confident that the true mean Speed of Electric type Pokémon falls. This statistical approach gives us a more precise estimate of the average Speed characteristic of this specific Pokémon type.

## [1] 82.90698
## [1] 75.66936
## [1] 90.1446

Results

  • Average Speed: Approximately 82.91
  • 95% Confidence Interval for Average Speed: (75.77, 90.04)

Interpretation

This means we’re 95% sure that the real average speed of Electric type Pokémon is somewhere between 75.77 and 90.04. This range gives us a good guess about their average speed, based on the sampled data.

Insights and Significance

  • The range between 75.77 and 90.04 is a dependable way to guess the average speed of Electric type Pokémon, based on the data we have. Since this range isn’t too wide, it shows that Electric type Pokémon usually have similar speeds. This is useful to know when you’re planning for battles or choosing Pokémon for your team, because you can expect how fast they’ll be.

Practical Application

  • For players who want fast Pokémon on their team, especially in battles where being quick is key, Electric type Pokémon are a great choice. This analysis shows that they’re usually pretty speedy. So, they can be really helpful in situations where acting fast matters a lot.

The error bar plot above shows the average Speed of Electric type Pokémon in a visual way. The blue dot marks the average Speed. The grey bars around it, called error bars, show the range of the 95% confidence interval, which is between about 75.77 and 90.04. This plot helps you see how fast Electric type Pokémon generally are, and how much this might vary.


Generalized Linear Models (GLM)

Objective

We’re going to look into how the type of a Pokémon (like Electric, Water, etc.) is linked to its Total Stats (which is a number made up of things like HP, Attack, Defense, and so on). To do this, we’ll use a Generalized Linear Model (GLM) with a Poisson distribution. This kind of model is good for dealing with count data, like Total Stats. By using this method, we can figure out the impact of a Pokémon’s type on its Total Stats, while also taking into account other factors like its HP, Attack, and Defense.

## 
## Call:
## glm(formula = Total ~ ., family = poisson(), data = pokemon_data_glm)
## 
## Coefficients: (603 not defined because of singularities)
##                                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                        5.5608381  0.1420129  39.157  < 2e-16 ***
## ID                                 0.0013950  0.0002272   6.139 8.29e-10 ***
## NameAbomasnow Mega Abomasnow       0.1843438  0.0608917   3.027 0.002467 ** 
## NameAegislash Blade Forme         -0.2962212  0.0554797  -5.339 9.33e-08 ***
## NameAegislash Shield Forme        -0.2962212  0.0554797  -5.339 9.33e-08 ***
## NameAerodactyl                     0.4852396  0.1190681   4.075 4.60e-05 ***
## NameAerodactyl Mega Aerodactyl     0.6626950  0.1177348   5.629 1.82e-08 ***
## NameAggron                         0.2851706  0.0869031   3.281 0.001033 ** 
## NameAltaria                        0.1676392  0.0828372   2.024 0.042999 *  
## NameAltaria Mega Altaria           0.3533563  0.0807224   4.377 1.20e-05 ***
## NameAmaura                        -0.6429000  0.0630597 -10.195  < 2e-16 ***
## NameAmoonguss                     -0.2453952  0.0548618  -4.473 7.71e-06 ***
## NameAmpharos Mega Ampharos         0.6001269  0.1098213   5.465 4.64e-08 ***
## NameAnnihilape                    -0.6442709  0.0982670  -6.556 5.51e-11 ***
## NameAnorith                       -0.1727834  0.0852859  -2.026 0.042772 *  
## NameAppletun                      -0.5512745  0.0750056  -7.350 1.99e-13 ***
## NameApplin                        -1.1719518  0.0858070 -13.658  < 2e-16 ***
## NameAraquanid                     -0.4917767  0.0636162  -7.730 1.07e-14 ***
## NameArboliva                      -0.6237722  0.0895259  -6.968 3.23e-12 ***
## NameArcanine Hisuian Arcanine      0.6758254  0.1357235   4.979 6.38e-07 ***
## NameArchen                        -0.3564435  0.0586072  -6.082 1.19e-09 ***
## NameArcheops                      -0.0114406  0.0519616  -0.220 0.825735    
## NameArctibax                      -0.9042754  0.1041645  -8.681  < 2e-16 ***
## NameArctovish                     -0.5680598  0.0812703  -6.990 2.75e-12 ***
## NameArctozolt                     -0.5652698  0.0809265  -6.985 2.85e-12 ***
## NameAriados                        0.1962674  0.1162266   1.689 0.091284 .  
## NameArmaldo                        0.1582616  0.0803098   1.971 0.048765 *  
## NameArmarouge                     -0.6031546  0.0903204  -6.678 2.42e-11 ***
## NameAron                          -0.1858237  0.0935898  -1.986 0.047087 *  
## NameArticuno                       0.6013108  0.1177402   5.107 3.27e-07 ***
## NameArticuno Galarian Articuno     0.6013108  0.1177402   5.107 3.27e-07 ***
## NameAudino Mega Audino            -0.0007943  0.0548204  -0.014 0.988439    
## NameAurorus                       -0.2801892  0.0560573  -4.998 5.78e-07 ***
## NameAvalugg Hisuian Avalugg       -0.3132459  0.0574848  -5.449 5.06e-08 ***
## NameAzumarill                      0.2227377  0.1125579   1.979 0.047830 *  
## NameAzurill                       -0.7295223  0.1057571  -6.898 5.27e-12 ***
## NameBaltoy                        -0.3355387  0.0888841  -3.775 0.000160 ***
## NameBarbaracle                    -0.3073812  0.0560208  -5.487 4.09e-08 ***
## NameBarboach                      -0.3707807  0.0902839  -4.107 4.01e-05 ***
## NameBasculegion Female            -0.5462461  0.0840348  -6.500 8.02e-11 ***
## NameBasculegion Male              -0.5462461  0.0840348  -6.500 8.02e-11 ***
## NameBastiodon                      0.0703770  0.0702665   1.002 0.316550    
## NameBaxcalibur                    -0.5561129  0.1009587  -5.508 3.62e-08 ***
## NameBeautifly                      0.0455842  0.0975075   0.467 0.640146    
## NameBeedrill                       0.3971228  0.1475231   2.692 0.007104 ** 
## NameBeedrill Mega Beedrill         0.6227948  0.1457793   4.272 1.94e-05 ***
## NameBeldum                        -0.3787835  0.0841963  -4.499 6.83e-06 ***
## NameBellsprout                     0.0466898  0.1392356   0.335 0.737377    
## NameBewear                        -0.4064258  0.0629553  -6.456 1.08e-10 ***
## NameBibarel                       -0.1026787  0.0747711  -1.373 0.169678    
## NameBinacle                       -0.7970092  0.0663204 -12.018  < 2e-16 ***
## NameBisharp                       -0.2383042  0.0536799  -4.439 9.02e-06 ***
## NameBlacephalon                   -0.3395672  0.0673065  -5.045 4.53e-07 ***
## NameBlaziken                       0.3535254  0.0960429   3.681 0.000232 ***
## NameBlaziken Mega Blaziken         0.5263682  0.0944708   5.572 2.52e-08 ***
## NameBombirdier                    -0.7186739  0.0960194  -7.485 7.17e-14 ***
## NameBrambleghast                  -0.7081117  0.0933308  -7.587 3.27e-14 ***
## NameBramblin                      -1.2637317  0.1011392 -12.495  < 2e-16 ***
## NameBraviary                      -0.2024839  0.0529717  -3.822 0.000132 ***
## NameBraviary Hisuian Braviary     -0.2024839  0.0529717  -3.822 0.000132 ***
## NameBreloom                        0.1714200  0.0921510   1.860 0.062856 .  
## NameBronzong                       0.0441575  0.0664268   0.665 0.506208    
## NameBronzor                       -0.4652732  0.0759209  -6.128 8.88e-10 ***
## NameBrute Bonnet                  -0.5906663  0.0990427  -5.964 2.47e-09 ***
## NameBruxish                       -0.4842240  0.0661642  -7.319 2.51e-13 ***
## NameBudew                         -0.4924162  0.0812013  -6.064 1.33e-09 ***
## NameBulbasaur                      0.1998183  0.1524768   1.310 0.190032    
## NameButterfree                     0.4013078  0.1481501   2.709 0.006753 ** 
## NameBuzzwole                      -0.3228273  0.0655527  -4.925 8.45e-07 ***
## NameCacturne                       0.1393386  0.0835707   1.667 0.095452 .  
## NameCalyrex                       -0.5989350  0.0840005  -7.130 1.00e-12 ***
## NameCalyrex Ice Rider             -0.2914503  0.0807878  -3.608 0.000309 ***
## NameCalyrex Shadow Rider          -0.2914503  0.0807878  -3.608 0.000309 ***
## NameCamerupt                       0.1198052  0.0855399   1.401 0.161341    
## NameCamerupt Mega Camerupt         0.3165155  0.0832399   3.802 0.000143 ***
## NameCarbink                       -0.3269111  0.0570947  -5.726 1.03e-08 ***
## NameCarkol                        -0.7136863  0.0768688  -9.284  < 2e-16 ***
## NameCarracosta                    -0.1444522  0.0544614  -2.652 0.007993 ** 
## NameCarvanha                      -0.2841345  0.0925870  -3.069 0.002149 ** 
## NameCelebi                         0.4859480  0.0960515   5.059 4.21e-07 ***
## NameCelesteela                    -0.3270123  0.0659850  -4.956 7.20e-07 ***
## NameCentiskorch                   -0.4845801  0.0754102  -6.426 1.31e-10 ***
## NameCeruledge                     -0.6045496  0.0905057  -6.680 2.39e-11 ***
## NameChandelure                    -0.1565609  0.0524926  -2.983 0.002859 ** 
## NameCharizard                      0.7111878  0.1471837   4.832 1.35e-06 ***
## NameCharizard Mega Charizard X     0.8828409  0.1461768   6.040 1.55e-09 ***
## NameCharizard Mega Charizard Y     0.8828409  0.1461768   6.040 1.55e-09 ***
## NameCharjabug                     -0.5974844  0.0643358  -9.287  < 2e-16 ***
## NameChatot                        -0.1574374  0.0690954  -2.279 0.022694 *  
## NameChesnaught                    -0.1974975  0.0529291  -3.731 0.000190 ***
## NameChi-Yu                        -0.6157762  0.1025739  -6.003 1.93e-09 ***
## NameChien-Pao                     -0.6129862  0.1021795  -5.999 1.98e-09 ***
## NameChinchou                       0.0011055  0.1180993   0.009 0.992531    
## NameClaydol                        0.1738919  0.0808661   2.150 0.031526 *  
## NameClodsire                      -0.8641474  0.1007511  -8.577  < 2e-16 ***
## NameCloyster                       0.5756157  0.1294199   4.448 8.68e-06 ***
## NameCoalossal                     -0.4968277  0.0738510  -6.727 1.73e-11 ***
## NameCobalion                      -0.0878164  0.0509026  -1.725 0.084494 .  
## NameCombee                        -0.6425925  0.0832667  -7.717 1.19e-14 ***
## NameCombusken                      0.0859304  0.0992133   0.866 0.386425    
## NameCorsola                        0.1456303  0.1054638   1.381 0.167323    
## NameCorviknight                   -0.5043608  0.0717740  -7.027 2.11e-12 ***
## NameCottonee                      -0.6877154  0.0680298 -10.109  < 2e-16 ***
## NameCrabominable                  -0.4235232  0.0614032  -6.897 5.30e-12 ***
## NameCradily                        0.1610516  0.0806498   1.997 0.045833 *  
## NameCramorant                     -0.5762936  0.0757692  -7.606 2.83e-14 ***
## NameCrawdaunt                      0.1105421  0.0820465   1.347 0.177880    
## NameCroagunk                      -0.4889881  0.0739594  -6.612 3.80e-11 ***
## NameCrobat                         0.4856746  0.1132783   4.287 1.81e-05 ***
## NameCrustle                       -0.1550961  0.0551740  -2.811 0.004938 ** 
## NameCutiefly                      -0.8788963  0.0706712 -12.436  < 2e-16 ***
## NameCyclizar                      -0.6931916  0.0966224  -7.174 7.27e-13 ***
## NameDarmanitan Galarian Zen Mode  -0.0434909  0.0533980  -0.814 0.415378    
## NameDarmanitan Zen Mode           -0.0434909  0.0533980  -0.814 0.415378    
## NameDartrix                       -0.5291644  0.0620437  -8.529  < 2e-16 ***
## NameDecidueye                     -0.2979371  0.0580239  -5.135 2.83e-07 ***
## NameDecidueye Hisuian Decidueye   -0.2979371  0.0580239  -5.135 2.83e-07 ***
## NameDedenne                       -0.4740161  0.0597549  -7.933 2.14e-15 ***
## NameDeerling                      -0.5627793  0.0620852  -9.065  < 2e-16 ***
## NameDeino                         -0.7400871  0.0647157 -11.436  < 2e-16 ***
## NameDelibird                      -0.0756192  0.1076733  -0.702 0.482491    
## NameDelphox                       -0.1941636  0.0529171  -3.669 0.000243 ***
## NameDewgong                        0.4811122  0.1310191   3.672 0.000241 ***
## NameDewpider                      -1.0137675  0.0744812 -13.611  < 2e-16 ***
## NameDhelmise                      -0.4022859  0.0651259  -6.177 6.53e-10 ***
## NameDialga                         0.2874724  0.0562252   5.113 3.17e-07 ***
## NameDialga Origin Forme            0.2874724  0.0562252   5.113 3.17e-07 ***
## NameDiancie                       -0.1669094  0.0555886  -3.003 0.002677 ** 
## NameDiancie Mega Diancie          -0.0127588  0.0534041  -0.239 0.811176    
## NameDiggersby                     -0.4341622  0.0575772  -7.541 4.68e-14 ***
## NameDiglett Alolan Diglett        -0.0508580  0.1446054  -0.352 0.725062    
## NameDodrio                         0.4733201  0.1315182   3.599 0.000320 ***
## NameDoduo                          0.0585547  0.1358295   0.431 0.666403    
## NameDolliv                        -0.9874910  0.0940541 -10.499  < 2e-16 ***
## NameDottler                       -0.8975780  0.0784867 -11.436  < 2e-16 ***
## NameDoublade                      -0.4046411  0.0574723  -7.041 1.91e-12 ***
## NameDracovish                     -0.5666648  0.0810982  -6.987 2.80e-12 ***
## NameDracozolt                     -0.5638748  0.0807550  -6.983 2.90e-12 ***
## NameDragalge                      -0.3222437  0.0563803  -5.716 1.09e-08 ***
## NameDragapult                     -0.4012685  0.0800256  -5.014 5.32e-07 ***
## NameDragonite                      0.6282374  0.1164687   5.394 6.89e-08 ***
## NameDrakloak                      -0.7806460  0.0845465  -9.233  < 2e-16 ***
## NameDrampa                        -0.4647849  0.0659666  -7.046 1.84e-12 ***
## NameDrapion                        0.0232325  0.0644448   0.361 0.718471    
## NameDrednaw                       -0.5401146  0.0737504  -7.324 2.41e-13 ***
## NameDreepy                        -1.1969862  0.0915672 -13.072  < 2e-16 ***
## NameDrifblim                       0.0554944  0.0680113   0.816 0.414524    
## NameDrifloon                      -0.3015082  0.0742316  -4.062 4.87e-05 ***
## NameDucklett                      -0.6496231  0.0645244 -10.068  < 2e-16 ***
## NameDugtrio Alolan Dugtrio         0.4201064  0.1393991   3.014 0.002581 ** 
## NameDuraludon                     -0.5117464  0.0807580  -6.337 2.35e-10 ***
## NameDurant                        -0.2603897  0.0540258  -4.820 1.44e-06 ***
## NameDustox                         0.0171518  0.0974804   0.176 0.860333    
## NameDwebble                       -0.5540248  0.0637563  -8.690  < 2e-16 ***
## NameElectrode Hisuian Electrode    0.4926729  0.1278779   3.853 0.000117 ***
## NameEmboar                         0.0107610  0.0580788   0.185 0.853008    
## NameEmolga                        -0.3205766  0.0565737  -5.667 1.46e-08 ***
## NameEmpoleon                       0.1610161  0.0717580   2.244 0.024840 *  
## NameEnamorus Incarnate Forme      -0.4602800  0.0836032  -5.506 3.68e-08 ***
## NameEnamorus Therian Forme        -0.4602800  0.0836032  -5.506 3.68e-08 ***
## NameEscavalier                    -0.1779320  0.0536599  -3.316 0.000913 ***
## NameEternatus                     -0.2656915  0.0791983  -3.355 0.000794 ***
## NameExcadrill                     -0.0697037  0.0561011  -1.242 0.214065    
## NameExeggcute                      0.0806977  0.1316669   0.613 0.539947    
## NameExeggutor                      0.5683545  0.1268599   4.480 7.46e-06 ***
## NameExeggutor Alolan Exeggutor     0.5683545  0.1268599   4.480 7.46e-06 ***
## NameFarfetch'd                     0.2556226  0.1339064   1.909 0.056267 .  
## NameFarigiraf                     -0.6754988  0.0989259  -6.828 8.59e-12 ***
## NameFearow                         0.4997819  0.1451374   3.444 0.000574 ***
## NameFerroseed                     -0.6733380  0.0642044 -10.487  < 2e-16 ***
## NameFerrothorn                    -0.2026823  0.0537309  -3.772 0.000162 ***
## NameFlamigo                       -0.7035596  0.0977840  -7.195 6.24e-13 ***
## NameFlapple                       -0.5498795  0.0748474  -7.347 2.03e-13 ***
## NameFletchinder                   -0.5389038  0.0598247  -9.008  < 2e-16 ***
## NameFletchling                    -0.8553083  0.0674774 -12.675  < 2e-16 ***
## NameFlutter Mane                  -0.5920612  0.0992378  -5.966 2.43e-09 ***
## NameFlygon                         0.2326426  0.0828245   2.809 0.004972 ** 
## NameFoongus                       -0.7003050  0.0652550 -10.732  < 2e-16 ***
## NameForretress                     0.2952255  0.1073946   2.749 0.005978 ** 
## NameFrigibax                      -1.1819316  0.1075708 -10.987  < 2e-16 ***
## NameFrillish                      -0.5725443  0.0619484  -9.242  < 2e-16 ***
## NameFroslass                      -0.0538593  0.0619830  -0.869 0.384882    
## NameFrosmoth                      -0.6153534  0.0803444  -7.659 1.87e-14 ***
## NameGabite                        -0.1640584  0.0687576  -2.386 0.017031 *  
## NameGallade                        0.0265148  0.0610821   0.434 0.664227    
## NameGallade Mega Gallade           0.2030280  0.0584692   3.472 0.000516 ***
## NameGalvantula                    -0.2352758  0.0544404  -4.322 1.55e-05 ***
## NameGarchomp                       0.2153191  0.0627531   3.431 0.000601 ***
## NameGarchomp Mega Garchomp         0.3694697  0.0608265   6.074 1.25e-09 ***
## NameGardevoir                      0.2957487  0.0915634   3.230 0.001238 ** 
## NameGardevoir Mega Gardevoir       0.4722620  0.0898414   5.257 1.47e-07 ***
## NameGastly                         0.0473947  0.1342267   0.353 0.724017    
## NameGastrodon                      0.0123941  0.0691437   0.179 0.857740    
## NameGenesect                      -0.0692598  0.0506895  -1.366 0.171828    
## NameGengar                         0.5226406  0.1291659   4.046 5.20e-05 ***
## NameGengar Mega Gengar             0.7049621  0.1278690   5.513 3.52e-08 ***
## NameGeodude                        0.0397148  0.1382299   0.287 0.773875    
## NameGeodude Alolan Geodude         0.0397148  0.1382299   0.287 0.773875    
## NameGholdengo                     -0.6459143  0.1020985  -6.326 2.51e-10 ***
## NameGible                         -0.4750381  0.0750954  -6.326 2.52e-10 ***
## NameGirafarig                      0.2762755  0.1080052   2.558 0.010528 *  
## NameGiratina Altered Forme         0.2818924  0.0557569   5.056 4.29e-07 ***
## NameGiratina Origin Forme          0.2818924  0.0557569   5.056 4.29e-07 ***
## NameGligar                         0.2141833  0.1078184   1.987 0.046976 *  
## NameGlimmet                       -1.0546546  0.1013437 -10.407  < 2e-16 ***
## NameGlimmora                      -0.6505844  0.0967217  -6.726 1.74e-11 ***
## NameGliscor                        0.0151353  0.0616782   0.245 0.806154    
## NameGloom                          0.3566680  0.1414879   2.521 0.011708 *  
## NameGolbat                         0.5008696  0.1407213   3.559 0.000372 ***
## NameGolem                          0.5377001  0.1329793   4.043 5.27e-05 ***
## NameGolem Alolan Golem             0.5377001  0.1329793   4.043 5.27e-05 ***
## NameGolett                        -0.7147918  0.0643232 -11.113  < 2e-16 ***
## NameGolisopod                     -0.3593168  0.0630536  -5.699 1.21e-08 ***
## NameGolurk                        -0.2499030  0.0539317  -4.634 3.59e-06 ***
## NameGoodra Hisuian Goodra         -0.1487745  0.0543612  -2.737 0.006204 ** 
## NameGourgeist Average Size        -0.3501436  0.0579880  -6.038 1.56e-09 ***
## NameGourgeist Large Size          -0.3501436  0.0579880  -6.038 1.56e-09 ***
## NameGourgeist Small Size          -0.3501436  0.0579880  -6.038 1.56e-09 ***
## NameGourgeist Super Size          -0.3501436  0.0579880  -6.038 1.56e-09 ***
## NameGrafaiai                      -0.6949590  0.0928449  -7.485 7.15e-14 ***
## NameGraveler                       0.3006841  0.1352139   2.224 0.026164 *  
## NameGraveler Alolan Graveler       0.3006841  0.1352139   2.224 0.026164 *  
## NameGreat Tusk                    -0.5878763  0.0986530  -5.959 2.54e-09 ***
## NameGreninja                      -0.2058674  0.0531803  -3.871 0.000108 ***
## NameGreninja Ash-Greninja         -0.0172762  0.0500385  -0.345 0.729900    
## NameGrimer Alolan Grimer           0.1002276  0.1344750   0.745 0.456075    
## NameGrimmsnarl                    -0.5275176  0.0774256  -6.813 9.54e-12 ***
## NameGroudon Primal Groudon         0.5512696  0.0695515   7.926 2.26e-15 ***
## NameGrowlithe Hisuian Growlithe    0.2161854  0.1397618   1.547 0.121908    
## NameGuzzlord                      -0.3298023  0.0662755  -4.976 6.48e-07 ***
## NameGyarados                       0.5493818  0.1211491   4.535 5.77e-06 ***
## NameGyarados Mega Gyarados         0.7192808  0.1199490   5.997 2.02e-09 ***
## NameHakamo-o                      -0.6128640  0.0687256  -8.918  < 2e-16 ***
## NameHatterene                     -0.5233326  0.0769288  -6.803 1.03e-11 ***
## NameHaunter                        0.3133145  0.1311735   2.389 0.016915 *  
## NameHawlucha                      -0.3241211  0.0569317  -5.693 1.25e-08 ***
## NameHeatran                        0.1595193  0.0577141   2.764 0.005711 ** 
## NameHeliolisk                     -0.3544920  0.0571569  -6.202 5.57e-10 ***
## NameHelioptile                    -0.8625375  0.0681146 -12.663  < 2e-16 ***
## NameHeracross                      0.3552412  0.1049239   3.386 0.000710 ***
## NameHeracross Mega Heracross       0.5375628  0.1033233   5.203 1.96e-07 ***
## NameHo-oh                          0.6125061  0.0952215   6.432 1.26e-10 ***
## NameHonchkrow                      0.0638727  0.0672438   0.950 0.342179    
## NameHonedge                       -0.7242141  0.0643496 -11.254  < 2e-16 ***
## NameHoopa Hoopa Confined          -0.1683044  0.0556884  -3.022 0.002509 ** 
## NameHoopa Hoopa Unbound           -0.0431413  0.0538992  -0.800 0.423475    
## NameHoothoot                      -0.2198777  0.1227026  -1.792 0.073140 .  
## NameHoppip                        -0.3002411  0.1189799  -2.523 0.011621 *  
## NameHoundoom                       0.3343163  0.1020011   3.278 0.001047 ** 
## NameHoundoom Mega Houndoom         0.5166379  0.1003539   5.148 2.63e-07 ***
## NameHoundour                      -0.0798041  0.1071174  -0.745 0.456262    
## NameHydreigon                     -0.0497299  0.0502594  -0.989 0.322436    
## NameIgglybuff                     -0.4564596  0.1244882  -3.667 0.000246 ***
## NameImpidimp                      -1.1794085  0.0880698 -13.392  < 2e-16 ***
## NameIncineroar                    -0.3021220  0.0583262  -5.180 2.22e-07 ***
## NameIndeedee Female               -0.6195384  0.0808489  -7.663 1.82e-14 ***
## NameIndeedee Male                 -0.6195384  0.0808489  -7.663 1.82e-14 ***
## NameInfernape                      0.1727199  0.0721301   2.395 0.016640 *  
## NameInkay                         -0.8548438  0.0677285 -12.622  < 2e-16 ***
## NameIron Bundle                   -0.5976412  0.1000193  -5.975 2.30e-09 ***
## NameIron Hands                    -0.5990362  0.1002151  -5.978 2.27e-09 ***
## NameIron Jugulis                  -0.6004312  0.1004109  -5.980 2.23e-09 ***
## NameIron Leaves                   -0.5896599  0.1034731  -5.699 1.21e-08 ***
## NameIron Moth                     -0.6018262  0.1006069  -5.982 2.20e-09 ***
## NameIron Thorns                   -0.6032212  0.1008030  -5.984 2.18e-09 ***
## NameIron Treads                   -0.5962462  0.0998237  -5.973 2.33e-09 ***
## NameIron Valiant                  -0.5840800  0.1026796  -5.688 1.28e-08 ***
## NameIvysaur                        0.4402590  0.1500354   2.934 0.003342 ** 
## NameJellicent                     -0.2142837  0.0541651  -3.956 7.62e-05 ***
## NameJigglypuff                    -0.0168209  0.1465790  -0.115 0.908638    
## NameJirachi                        0.2990187  0.0718213   4.163 3.14e-05 ***
## NameJoltik                        -0.6256687  0.0631000  -9.916  < 2e-16 ***
## NameJumpluff                       0.3067345  0.1106461   2.772 0.005568 ** 
## NameJynx                           0.3864800  0.1237882   3.122 0.001796 ** 
## NameKabuto                         0.1159805  0.1230839   0.942 0.346045    
## NameKabutops                       0.4470255  0.1196004   3.738 0.000186 ***
## NameKakuna                        -0.2573580  0.1554707  -1.655 0.097854 .  
## NameKartana                       -0.3284073  0.0661300  -4.966 6.83e-07 ***
## NameKeldeo Ordinary Form          -0.1003714  0.0511806  -1.961 0.049865 *  
## NameKeldeo Resolute Form          -0.1003714  0.0511806  -1.961 0.049865 *  
## NameKilowattrel                   -0.6791225  0.0919914  -7.382 1.55e-13 ***
## NameKingambit                     -0.6221994  0.0987818  -6.299 3.00e-10 ***
## NameKingdra                        0.4098824  0.1010771   4.055 5.01e-05 ***
## NameKirlia                        -0.3252104  0.1004221  -3.238 0.001202 ** 
## NameKleavor                       -0.6017250  0.0843526  -7.133 9.79e-13 ***
## NameKlefki                        -0.3943665  0.0585312  -6.738 1.61e-11 ***
## NameKommo-o                       -0.2575841  0.0634558  -4.059 4.92e-05 ***
## NameKoraidon                      -0.4583198  0.1018895  -4.498 6.85e-06 ***
## NameKrokorok                      -0.4700888  0.0621821  -7.560 4.03e-14 ***
## NameKrookodile                    -0.0803661  0.0542056  -1.483 0.138177    
## NameKyurem                         0.0302353  0.0490602   0.616 0.537702    
## NameKyurem Black Kyurem            0.0890758  0.0481697   1.849 0.064428 .  
## NameKyurem White Kyurem            0.0890758  0.0481697   1.849 0.064428 .  
## NameLairon                         0.0774738  0.0895689   0.865 0.387059    
## NameLampent                       -0.4954917  0.0594597  -8.333  < 2e-16 ***
## NameLandorus Incarnate Forme      -0.0636798  0.0505465  -1.260 0.207732    
## NameLandorus Therian Forme        -0.0636798  0.0505465  -1.260 0.207732    
## NameLanturn                        0.3318444  0.1142167   2.905 0.003668 ** 
## NameLapras                         0.5386844  0.1210153   4.451 8.53e-06 ***
## NameLarvesta                      -0.5619505  0.0603286  -9.315  < 2e-16 ***
## NameLarvitar                      -0.2002242  0.1052626  -1.902 0.057153 .  
## NameLatias                         0.3059937  0.0726414   4.212 2.53e-05 ***
## NameLatias Mega Latias             0.4601444  0.0709836   6.482 9.03e-11 ***
## NameLatios                         0.3045987  0.0724767   4.203 2.64e-05 ***
## NameLatios Mega Latios             0.4587494  0.0708150   6.478 9.29e-11 ***
## NameLeavanny                      -0.1023170  0.0555400  -1.842 0.065443 .  
## NameLedian                         0.1737396  0.1168957   1.486 0.137206    
## NameLedyba                        -0.2112823  0.1221483  -1.730 0.083680 .  
## NameLileep                        -0.1699934  0.0856073  -1.986 0.047063 *  
## NameLilligant Hisuian Lilligant   -0.1529039  0.0558568  -2.737 0.006192 ** 
## NameLinoone Galarian Linoone       0.1111381  0.0972848   1.142 0.253288    
## NameLitleo                        -0.5805027  0.0608140  -9.546  < 2e-16 ***
## NameLitwick                       -0.7908286  0.0668549 -11.829  < 2e-16 ***
## NameLokix                         -0.7349854  0.0891801  -8.242  < 2e-16 ***
## NameLombre                        -0.1099359  0.0988715  -1.112 0.266178    
## NameLopunny Mega Lopunny           0.2051324  0.0656007   3.127 0.001766 ** 
## NameLotad                         -0.5438590  0.1068415  -5.090 3.57e-07 ***
## NameLucario                        0.0776027  0.0642246   1.208 0.226931    
## NameLucario Mega Lucario           0.2519561  0.0618064   4.077 4.57e-05 ***
## NameLudicolo                       0.2335095  0.0942474   2.478 0.013226 *  
## NameLugia                          0.6139011  0.0954178   6.434 1.24e-10 ***
## NameLunala                        -0.1435809  0.0630553  -2.277 0.022783 *  
## NameLunatone                       0.1002753  0.0831231   1.206 0.227684    
## NameMagcargo                       0.1974434  0.1055009   1.871 0.061278 .  
## NameMagearna                      -0.2812990  0.0659056  -4.268 1.97e-05 ***
## NameMagnemite                      0.1099926  0.1358852   0.809 0.418255    
## NameMagneton                       0.4668098  0.1322256   3.530 0.000415 ***
## NameMagnezone                      0.0769412  0.0621472   1.238 0.215698    
## NameMalamar                       -0.3412552  0.0565448  -6.035 1.59e-09 ***
## NameMamoswine                      0.0522066  0.0609575   0.856 0.391753    
## NameMandibuzz                     -0.2052739  0.0530049  -3.873 0.000108 ***
## NameMantine                        0.3080421  0.1028843   2.994 0.002753 ** 
## NameMantyke                       -0.3562011  0.0703877  -5.061 4.18e-07 ***
## NameMareanie                      -0.8825872  0.0710779 -12.417  < 2e-16 ***
## NameMarill                        -0.2946611  0.1197187  -2.461 0.013844 *  
## NameMarowak Alolan Marowak         0.3447767  0.1282758   2.688 0.007193 ** 
## NameMarshadow                     -0.2826940  0.0660539  -4.280 1.87e-05 ***
## NameMarshtomp                      0.0817454  0.0986584   0.829 0.407347    
## NameMasquerain                     0.1610807  0.0926718   1.738 0.082178 .  
## NameMawile                        -0.0433501  0.0916088  -0.473 0.636064    
## NameMawile Mega Mawile             0.1902647  0.0885660   2.148 0.031691 *  
## NameMedicham                       0.0256608  0.0896738   0.286 0.774758    
## NameMedicham Mega Medicham         0.2439144  0.0869664   2.805 0.005036 ** 
## NameMeditite                      -0.3543118  0.0959439  -3.693 0.000222 ***
## NameMeloetta Aria Forme           -0.0678648  0.0506522  -1.340 0.180304    
## NameMeloetta Pirouette Forme      -0.0678648  0.0506522  -1.340 0.180304    
## NameMeowscarada                   -0.5546160  0.0851082  -6.517 7.19e-11 ***
## NameMetagross                      0.3115737  0.0733035   4.250 2.13e-05 ***
## NameMetagross Mega Metagross       0.4657244  0.0716611   6.499 8.09e-11 ***
## NameMetang                        -0.0437063  0.0781800  -0.559 0.576130    
## NameMewtwo Mega Mewtwo X           0.8892067  0.1145975   7.759 8.53e-15 ***
## NameMime Jr.                      -0.4366683  0.0748492  -5.834 5.41e-09 ***
## NameMimikyu                       -0.4807259  0.0660006  -7.284 3.25e-13 ***
## NameMinior Core Form              -0.4259557  0.0647108  -6.582 4.63e-11 ***
## NameMinior Meteor Form            -0.5537891  0.0667849  -8.292  < 2e-16 ***
## NameMiraidon                      -0.4597148  0.1020897  -4.503 6.70e-06 ***
## NameMoltres                        0.5985209  0.1173300   5.101 3.38e-07 ***
## NameMoltres Galarian Moltres       0.5985209  0.1173300   5.101 3.38e-07 ***
## NameMonferno                      -0.1023938  0.0763020  -1.342 0.179611    
## NameMorelull                      -0.9615697  0.0734643 -13.089  < 2e-16 ***
## NameMorgrem                       -0.8470303  0.0819205 -10.340  < 2e-16 ***
## NameMorpeko Full Belly Mode       -0.7066060  0.0821716  -8.599  < 2e-16 ***
## NameMorpeko Hangry Mode           -0.7066060  0.0821716  -8.599  < 2e-16 ***
## NameMothim                        -0.0886323  0.0722071  -1.227 0.219645    
## NameMr. Mime                       0.4001991  0.1240992   3.225 0.001260 ** 
## NameMr. Mime Galarian Mr. Mime     0.4001991  0.1240992   3.225 0.001260 ** 
## NameMr. Rime                      -0.5150745  0.0780184  -6.602 4.06e-11 ***
## NameMuk Alolan Muk                 0.5296155  0.1302019   4.068 4.75e-05 ***
## NameMurkrow                        0.1668401  0.1102220   1.514 0.130109    
## NameNaganadel                     -0.3908445  0.0677330  -5.770 7.91e-09 ***
## NameNatu                          -0.0394311  0.1171546  -0.337 0.736439    
## NameNecrozma Dawn Wings Necrozma  -0.1547408  0.0642495  -2.408 0.016021 *  
## NameNecrozma Dusk Mane Necrozma   -0.1547408  0.0642495  -2.408 0.016021 *  
## NameNecrozma Ultra Necrozma       -0.0514413  0.0631164  -0.815 0.415059    
## NameNidoking                       0.6162906  0.1416299   4.351 1.35e-05 ***
## NameNidoqueen                      0.6204755  0.1422622   4.361 1.29e-05 ***
## NameNihilego                      -0.3214323  0.0654096  -4.914 8.92e-07 ***
## NameNincada                       -0.3818901  0.0997170  -3.830 0.000128 ***
## NameNinetales Alolan Ninetales     0.6107106  0.1407875   4.338 1.44e-05 ***
## NameNinjask                        0.1557114  0.0913448   1.705 0.088259 .  
## NameNoctowl                        0.3240650  0.1157809   2.799 0.005127 ** 
## NameNoibat                        -1.0556059  0.0738315 -14.297  < 2e-16 ***
## NameNoivern                       -0.2759924  0.0570018  -4.842 1.29e-06 ***
## NameNumel                         -0.2897145  0.0919334  -3.151 0.001625 ** 
## NameNuzleaf                       -0.1141209  0.0983383  -1.160 0.245848    
## NameObstagoon                     -0.5094945  0.0773484  -6.587 4.49e-11 ***
## NameOddish                         0.1474982  0.1437737   1.026 0.304936    
## NameOmanyte                        0.1187705  0.1234800   0.962 0.336120    
## NameOmastar                        0.4498155  0.1200072   3.748 0.000178 ***
## NameOnix                           0.2598808  0.1312547   1.980 0.047706 *  
## NameOranguru                      -0.4336034  0.0638898  -6.787 1.15e-11 ***
## NameOrbeetle                      -0.4885451  0.0719538  -6.790 1.12e-11 ***
## NameOricorio Baile Style          -0.4291111  0.0615826  -6.968 3.21e-12 ***
## NameOricorio Pa'u Style           -0.4291111  0.0615826  -6.968 3.21e-12 ***
## NameOricorio Pom-Pom Style        -0.4291111  0.0615826  -6.968 3.21e-12 ***
## NameOricorio Sensu Style          -0.4291111  0.0615826  -6.968 3.21e-12 ***
## NameOverqwil                      -0.5875023  0.0848289  -6.926 4.34e-12 ***
## NamePalkia                         0.2860774  0.0561071   5.099 3.42e-07 ***
## NamePalkia Origin Forme            0.2860774  0.0561071   5.099 3.42e-07 ***
## NamePalossand                     -0.4611977  0.0648438  -7.112 1.14e-12 ***
## NamePalpitoad                     -0.3579125  0.0611070  -5.857 4.71e-09 ***
## NamePangoro                       -0.2979016  0.0552927  -5.388 7.14e-08 ***
## NameParas                          0.0274814  0.1444952   0.190 0.849161    
## NameParasect                       0.3774843  0.1406443   2.684 0.007276 ** 
## NamePawmo                         -0.9890898  0.0930152 -10.634  < 2e-16 ***
## NamePawmot                        -0.6540126  0.0886993  -7.373 1.66e-13 ***
## NamePawniard                      -0.6023690  0.0614866  -9.797  < 2e-16 ***
## NamePelipper                       0.1367332  0.0939615   1.455 0.145613    
## NamePhantump                      -0.8151529  0.0674118 -12.092  < 2e-16 ***
## NamePheromosa                     -0.3242223  0.0656963  -4.935 8.01e-07 ***
## NamePidgeot                        0.5857526  0.1453775   4.029 5.60e-05 ***
## NamePidgeot Mega Pidgeot           0.7753545  0.1441321   5.379 7.47e-08 ***
## NamePidgeotto                      0.2705190  0.1482351   1.825 0.068011 .  
## NamePidgey                        -0.0577050  0.1521640  -0.379 0.704518    
## NamePidove                        -0.7088911  0.0711762  -9.960  < 2e-16 ***
## NamePignite                       -0.2214589  0.0623151  -3.554 0.000380 ***
## NamePikipek                       -1.0008492  0.0730553 -13.700  < 2e-16 ***
## NamePiloswine                      0.2401157  0.1046237   2.295 0.021731 *  
## NamePinsir Mega Pinsir             0.6589273  0.1210028   5.446 5.16e-08 ***
## NamePoliwrath                      0.5870830  0.1356798   4.327 1.51e-05 ***
## NamePrimarina                     -0.3063070  0.0586348  -5.224 1.75e-07 ***
## NameProbopass                      0.0385428  0.0607552   0.634 0.525823    
## NamePumpkaboo Average Size        -0.7371536  0.0656751 -11.224  < 2e-16 ***
## NamePumpkaboo Large Size          -0.7371536  0.0656751 -11.224  < 2e-16 ***
## NamePumpkaboo Small Size          -0.7371536  0.0656751 -11.224  < 2e-16 ***
## NamePumpkaboo Super Size          -0.7371536  0.0656751 -11.224  < 2e-16 ***
## NamePupitar                        0.1107555  0.1007381   1.099 0.271576    
## NamePyroar                        -0.2641834  0.0544650  -4.851 1.23e-06 ***
## NameQuagsire                       0.2309232  0.1101546   2.096 0.036051 *  
## NameQuaquaval                     -0.5629860  0.0861897  -6.532 6.49e-11 ***
## NameQwilfish                       0.2315928  0.1067966   2.169 0.030117 *  
## NameQwilfish Hisuian Qwilfish      0.2315928  0.1067966   2.169 0.030117 *  
## NameRabsca                        -0.7389301  0.0948666  -7.789 6.75e-15 ***
## NameRaichu Alolan Raichu           0.5870410  0.1436017   4.088 4.35e-05 ***
## NameRalts                         -0.6631695  0.1075742  -6.165 7.06e-10 ***
## NameRapidash Galarian Rapidash     0.5449605  0.1324870   4.113 3.90e-05 ***
## NameRaticate Alolan Raticate       0.4347096  0.1461020   2.975 0.002926 ** 
## NameRattata Alolan Rattata        -0.0539535  0.1514537  -0.356 0.721663    
## NameRayquaza                       0.4255769  0.0706095   6.027 1.67e-09 ***
## NameRayquaza Mega Rayquaza         0.5627780  0.0692616   8.125 4.46e-16 ***
## NameRelicanth                      0.1085579  0.0770823   1.408 0.159031    
## NameReshiram                       0.0642733  0.0485001   1.325 0.185098    
## NameRevavroom                     -0.6937946  0.0964535  -7.193 6.34e-13 ***
## NameRhydon                         0.4670715  0.1256967   3.716 0.000203 ***
## NameRhyhorn                        0.1278620  0.1291822   0.990 0.322282    
## NameRhyperior                      0.0741513  0.0618992   1.198 0.230942    
## NameRibombee                      -0.4574344  0.0622382  -7.350 1.99e-13 ***
## NameRoaring Moon                  -0.5826850  0.1024815  -5.686 1.30e-08 ***
## NameRoselia                       -0.0087968  0.0887986  -0.099 0.921087    
## NameRoserade                       0.1155661  0.0703047   1.644 0.100220    
## NameRotom                         -0.1422657  0.0633838  -2.245 0.024799 *  
## NameRotom Fan Rotom                0.0247884  0.0605628   0.409 0.682319    
## NameRotom Frost Rotom              0.0247884  0.0605628   0.409 0.682319    
## NameRotom Heat Rotom               0.0247884  0.0605628   0.409 0.682319    
## NameRotom Mow Rotom                0.0247884  0.0605628   0.409 0.682319    
## NameRotom Wash Rotom               0.0247884  0.0605628   0.409 0.682319    
## NameRowlet                        -0.7997031  0.0676909 -11.814  < 2e-16 ***
## NameRufflet                       -0.5775664  0.0608339  -9.494  < 2e-16 ***
## NameRunerigus                     -0.5902816  0.0791232  -7.460 8.63e-14 ***
## NameSableye                       -0.0419551  0.0917831  -0.457 0.647591    
## NameSableye Mega Sableye           0.1916597  0.0887462   2.160 0.030801 *  
## NameSalamence                      0.3157587  0.0738036   4.278 1.88e-05 ***
## NameSalamence Mega Salamence       0.4699093  0.0721725   6.511 7.47e-11 ***
## NameSalandit                      -0.8485279  0.0710139 -11.949  < 2e-16 ***
## NameSalazzle                      -0.4444578  0.0633746  -7.013 2.33e-12 ***
## NameSamurott Hisuian Samurott      0.0065760  0.0577835   0.114 0.909393    
## NameSandile                       -0.6527262  0.0666972  -9.786  < 2e-16 ***
## NameSandshrew Alolan Sandshrew     0.1052796  0.1477581   0.713 0.476147    
## NameSandslash Alolan Sandslash     0.5093497  0.1437393   3.544 0.000395 ***
## NameSandy Shocks                  -0.5948512  0.0996283  -5.971 2.36e-09 ***
## NameSandygast                     -0.8652678  0.0723196 -11.965  < 2e-16 ***
## NameSawsbuck                      -0.2149900  0.0545163  -3.944 8.03e-05 ***
## NameSceptile Mega Sceptile         0.5305532  0.0950535   5.582 2.38e-08 ***
## NameScizor                         0.3580312  0.1053158   3.400 0.000675 ***
## NameScizor Mega Scizor             0.5403528  0.1037212   5.210 1.89e-07 ***
## NameScolipede                     -0.1369612  0.0559047  -2.450 0.014290 *  
## NameScovillain                    -0.7026642  0.0941233  -7.465 8.31e-14 ***
## NameScrafty                       -0.1517196  0.0549596  -2.761 0.005770 ** 
## NameScraggy                       -0.4884375  0.0620512  -7.872 3.50e-15 ***
## NameScream Tail                   -0.5892713  0.0988478  -5.961 2.50e-09 ***
## NameScyther                        0.4821857  0.1231916   3.914 9.07e-05 ***
## NameSealeo                        -0.0524589  0.0802844  -0.653 0.513490    
## NameSeismitoad                    -0.0775021  0.0555585  -1.395 0.163027    
## NameSewaddle                      -0.5775628  0.0657659  -8.782  < 2e-16 ***
## NameSharpedo                       0.1253852  0.0862396   1.454 0.145969    
## NameSharpedo Mega Sharpedo         0.3220955  0.0839587   3.836 0.000125 ***
## NameShaymin Sky Forme              0.1497543  0.0569357   2.630 0.008533 ** 
## NameShedinja                      -0.5043446  0.1017599  -4.956 7.19e-07 ***
## NameShieldon                      -0.2748526  0.0761257  -3.611 0.000306 ***
## NameShiftry                        0.2293246  0.0936895   2.448 0.014377 *  
## NameShiinotic                     -0.6115668  0.0661225  -9.249  < 2e-16 ***
## NameShroodle                      -1.2078319  0.0998612 -12.095  < 2e-16 ***
## NameShuckle                        0.3665865  0.1050256   3.490 0.000482 ***
## NameSigilyph                      -0.1490246  0.0548350  -2.718 0.006574 ** 
## NameSizzlipede                    -1.0262716  0.0838809 -12.235  < 2e-16 ***
## NameSkarmory                       0.2645356  0.1031216   2.565 0.010309 *  
## NameSkeledirge                    -0.5588010  0.0856479  -6.524 6.83e-11 ***
## NameSkiploom                       0.0058486  0.1142522   0.051 0.959174    
## NameSkorupi                       -0.3908879  0.0721111  -5.421 5.94e-08 ***
## NameSkrelp                        -0.7550633  0.0653554 -11.553  < 2e-16 ***
## NameSkuntank                       0.0040399  0.0673539   0.060 0.952171    
## NameSliggoo Hisuian Sliggoo       -0.4306270  0.0590864  -7.288 3.14e-13 ***
## NameSlither Wing                  -0.5934562  0.0994330  -5.968 2.40e-09 ***
## NameSlowbro                        0.5219678  0.1322254   3.948 7.90e-05 ***
## NameSlowbro Galarian Slowbro       0.5219678  0.1322254   3.948 7.90e-05 ***
## NameSlowbro Mega Slowbro           0.7076849  0.1309109   5.406 6.45e-08 ***
## NameSlowking                       0.3559634  0.1080642   3.294 0.000988 ***
## NameSlowking Galarian Slowking     0.3559634  0.1080642   3.294 0.000988 ***
## NameSlowpoke                       0.0815300  0.1366467   0.597 0.550742    
## NameSmoliv                        -1.2947113  0.0991705 -13.055  < 2e-16 ***
## NameSmoochum                      -0.1725350  0.1064481  -1.621 0.105053    
## NameSneasel                        0.2030233  0.1062712   1.910 0.056078 .  
## NameSneasel Hisuian Sneasel        0.2030233  0.1062712   1.910 0.056078 .  
## NameSneasler                      -0.5861073  0.0846513  -6.924 4.40e-12 ***
## NameSnom                          -1.5569174  0.0986329 -15.785  < 2e-16 ***
## NameSnover                        -0.3899995  0.0709510  -5.497 3.87e-08 ***
## NameSolgaleo                      -0.1421859  0.0629082  -2.260 0.023808 *  
## NameSolrock                        0.0988803  0.0829525   1.192 0.233257    
## NameSpearow                       -0.0217884  0.1505995  -0.145 0.884965    
## NameSpheal                        -0.3973401  0.0864899  -4.594 4.35e-06 ***
## NameSpinarak                      -0.2723412  0.1226968  -2.220 0.026444 *  
## NameSpiritomb                      0.0067233  0.0662219   0.102 0.919133    
## NameSquawkabilly Blue Plumage     -0.8264917  0.0921145  -8.972  < 2e-16 ***
## NameSquawkabilly Green Plumage    -0.8264917  0.0921145  -8.972  < 2e-16 ***
## NameSquawkabilly White Plumage    -0.8264917  0.0921145  -8.972  < 2e-16 ***
## NameSquawkabilly Yellow Plumage   -0.8264917  0.0921145  -8.972  < 2e-16 ***
## NameStakataka                     -0.3381723  0.0671578  -5.035 4.77e-07 ***
## NameStaraptor                      0.0681030  0.0725088   0.939 0.347609    
## NameStaravia                      -0.2857052  0.0784793  -3.641 0.000272 ***
## NameStarly                        -0.6119977  0.0855669  -7.152 8.54e-13 ***
## NameStarmie                        0.5241964  0.1232900   4.252 2.12e-05 ***
## NameSteelix                        0.3834138  0.1059162   3.620 0.000295 ***
## NameSteelix Mega Steelix           0.5624620  0.1043877   5.388 7.12e-08 ***
## NameStufful                       -0.7906932  0.0699236 -11.308  < 2e-16 ***
## NameStunfisk                      -0.2680866  0.0543780  -4.930 8.22e-07 ***
## NameStunfisk Galarian Stunfisk    -0.2680866  0.0543780  -4.930 8.22e-07 ***
## NameStunky                        -0.3702079  0.0742072  -4.989 6.07e-07 ***
## NameSurskit                       -0.3609101  0.1006817  -3.585 0.000338 ***
## NameSwablu                        -0.2887989  0.0898652  -3.214 0.001310 ** 
## NameSwadloon                      -0.3753588  0.0610209  -6.151 7.68e-10 ***
## NameSwampert                       0.3587301  0.0953787   3.761 0.000169 ***
## NameSwampert Mega Swampert         0.5300884  0.0938229   5.650 1.61e-08 ***
## NameSwanna                        -0.2122345  0.0547323  -3.878 0.000105 ***
## NameSwellow                        0.1730459  0.0939298   1.842 0.065433 .  
## NameSwinub                        -0.3462759  0.1129793  -3.065 0.002177 ** 
## NameSwoobat                       -0.2453060  0.0595727  -4.118 3.83e-05 ***
## NameTaillow                       -0.3474346  0.1018006  -3.413 0.000643 ***
## NameTalonflame                    -0.2731133  0.0545016  -5.011 5.41e-07 ***
## NameTapu Bulu                     -0.3130624  0.0645609  -4.849 1.24e-06 ***
## NameTapu Fini                     -0.3144573  0.0647011  -4.860 1.17e-06 ***
## NameTapu Koko                     -0.3102724  0.0642820  -4.827 1.39e-06 ***
## NameTapu Lele                     -0.3116674  0.0644212  -4.838 1.31e-06 ***
## NameTatsugiri Curly Form          -0.7618279  0.0992706  -7.674 1.66e-14 ***
## NameTatsugiri Droopy Form         -0.7618279  0.0992706  -7.674 1.66e-14 ***
## NameTatsugiri Stretchy Form       -0.7618279  0.0992706  -7.674 1.66e-14 ***
## NameTauros Aqua Breed              0.4550080  0.1223348   3.719 0.000200 ***
## NameTauros Blaze Breed             0.4550080  0.1223348   3.719 0.000200 ***
## NameTentacool                      0.1528529  0.1373702   1.113 0.265834    
## NameTentacruel                     0.5814942  0.1333099   4.362 1.29e-05 ***
## NameTerrakion                     -0.0892114  0.0509295  -1.752 0.079832 .  
## NameThundurus Incarnate Forme     -0.0933964  0.0510162  -1.831 0.067142 .  
## NameThundurus Therian Forme       -0.0933964  0.0510162  -1.831 0.067142 .  
## NameTing-Lu                       -0.6143812  0.1023766  -6.001 1.96e-09 ***
## NameTinkatink                     -1.2021156  0.1017125 -11.819  < 2e-16 ***
## NameTinkaton                      -0.6721011  0.0950062  -7.074 1.50e-12 ***
## NameTinkatuff                     -0.9570715  0.0982125  -9.745  < 2e-16 ***
## NameTirtouga                      -0.4754972  0.0613811  -7.747 9.44e-15 ***
## NameToedscool                     -1.0691623  0.0982193 -10.885  < 2e-16 ***
## NameToedscruel                    -0.6405209  0.0929433  -6.892 5.52e-12 ***
## NameTogedemaru                    -0.5694027  0.0673573  -8.453  < 2e-16 ***
## NameTogekiss                       0.0870903  0.0611304   1.425 0.154254    
## NameTogetic                        0.1975300  0.1145177   1.725 0.084548 .  
## NameTorterra                       0.1599074  0.0728249   2.196 0.028108 *  
## NameToucannon                     -0.3992201  0.0604164  -6.608 3.90e-11 ***
## NameToxapex                       -0.3997362  0.0617055  -6.478 9.29e-11 ***
## NameToxel                         -1.2548557  0.0885471 -14.172  < 2e-16 ***
## NameToxicroak                      0.0002398  0.0645067   0.004 0.997033    
## NameToxtricity Amped Form         -0.5265883  0.0756625  -6.960 3.41e-12 ***
## NameToxtricity Low Key Form       -0.5265883  0.0756625  -6.960 3.41e-12 ***
## NameTranquill                     -0.4057022  0.0637332  -6.366 1.94e-10 ***
## NameTrevenant                     -0.3886818  0.0585472  -6.639 3.16e-11 ***
## NameTropius                        0.0723754  0.0797637   0.907 0.364210    
## NameTrumbeak                      -0.7098562  0.0662777 -10.710  < 2e-16 ***
## NameTurtonator                    -0.4592049  0.0654447  -7.017 2.27e-12 ***
## NameTyphlosion Hisuian Typhlosion  0.5005436  0.1157230   4.325 1.52e-05 ***
## NameTyranitar                      0.4901330  0.0966342   5.072 3.94e-07 ***
## NameTyranitar Mega Tyranitar       0.6442836  0.0953943   6.754 1.44e-11 ***
## NameTyrantrum                     -0.2773992  0.0558986  -4.963 6.96e-07 ***
## NameTyrunt                        -0.6401100  0.0629203 -10.173  < 2e-16 ***
## NameUnfezant                      -0.0973148  0.0575184  -1.692 0.090667 .  
## NameUrsaluna                      -0.5078098  0.0834466  -6.085 1.16e-09 ***
## NameUrshifu Rapid Strike Style    -0.4952549  0.0818469  -6.051 1.44e-09 ***
## NameUrshifu Single Strike Style   -0.4952549  0.0818469  -6.051 1.44e-09 ***
## NameVaroom                        -1.2032253  0.1029568 -11.687  < 2e-16 ***
## NameVeluza                        -0.7527419  0.0988234  -7.617 2.60e-14 ***
## NameVenipede                      -0.7576384  0.0701689 -10.797  < 2e-16 ***
## NameVenomoth                       0.4800548  0.1393465   3.445 0.000571 ***
## NameVenonat                        0.0925140  0.1432903   0.646 0.518512    
## NameVenusaur                       0.6983752  0.1479301   4.721 2.35e-06 ***
## NameVenusaur Mega Venusaur         0.8727286  0.1468964   5.941 2.83e-09 ***
## NameVespiquen                      0.0200516  0.0701741   0.286 0.775077    
## NameVibrava                       -0.1908456  0.0889223  -2.146 0.031856 *  
## NameVictini                        0.1469643  0.0567196   2.591 0.009568 ** 
## NameVictreebel                     0.5345227  0.1340974   3.986 6.72e-05 ***
## NameVikavolt                      -0.3757359  0.0604323  -6.217 5.05e-10 ***
## NameVileplume                      0.5707926  0.1395328   4.091 4.30e-05 ***
## NameVirizion                      -0.0906064  0.0509574  -1.778 0.075391 .  
## NameVivillon                      -0.4713112  0.0584446  -8.064 7.37e-16 ***
## NameVolcanion                     -0.1696994  0.0557890  -3.042 0.002352 ** 
## NameVolcarona                     -0.1395313  0.0517927  -2.694 0.007059 ** 
## NameVoltorb Hisuian Voltorb        0.0987552  0.1318904   0.749 0.453998    
## NameVullaby                       -0.5247866  0.0595788  -8.808  < 2e-16 ***
## NameWalking Wake                  -0.5882650  0.1032745  -5.696 1.23e-08 ***
## NameWalrein                        0.2028660  0.0766016   2.648 0.008089 ** 
## NameWattrel                       -1.2373433  0.0997953 -12.399  < 2e-16 ***
## NameWeavile                        0.0304802  0.0630035   0.484 0.628537    
## NameWeedle                        -0.3059734  0.1564708  -1.955 0.050528 .  
## NameWeepinbell                     0.3076591  0.1362399   2.258 0.023932 *  
## NameWeezing Galarian Weezing       0.4801179  0.1260241   3.810 0.000139 ***
## NameWhimsicott                    -0.1501139  0.0559749  -2.682 0.007323 ** 
## NameWhirlipede                    -0.4336110  0.0620341  -6.990 2.75e-12 ***
## NameWhiscash                       0.1133321  0.0823868   1.376 0.168942    
## NameWigglytuff                     0.4587082  0.1414972   3.242 0.001188 ** 
## NameWimpod                        -1.1927195  0.0801294 -14.885  < 2e-16 ***
## NameWingull                       -0.3502246  0.1014602  -3.452 0.000557 ***
## NameWo-Chien                      -0.6115912  0.1019825  -5.997 2.01e-09 ***
## NameWoobat                        -0.5183478  0.0655794  -7.904 2.70e-15 ***
## NameWooper                        -0.4843595  0.1208862  -4.007 6.16e-05 ***
## NameWooper Paldean Wooper         -0.4843595  0.1208862  -4.007 6.16e-05 ***
## NameWormadam Plant Cloak          -0.0872373  0.0723489  -1.206 0.227900    
## NameWormadam Sandy Cloak          -0.0872373  0.0723489  -1.206 0.227900    
## NameWormadam Trash Cloak          -0.0872373  0.0723489  -1.206 0.227900    
## NameWyrdeer                       -0.5515398  0.0836088  -6.597 4.20e-11 ***
## NameXatu                           0.3435856  0.1126188   3.051 0.002282 ** 
## NameYamask Galarian Yamask        -0.6310921  0.0652777  -9.668  < 2e-16 ***
## NameYanma                          0.1360747  0.1116194   1.219 0.222808    
## NameYanmega                        0.0290764  0.0618788   0.470 0.638431    
## NameYveltal                       -0.0389563  0.0535922  -0.727 0.467285    
## NameZacian Crowned Sword          -0.2485128  0.0787049  -3.158 0.001591 ** 
## NameZamazenta Crowned Shield      -0.2499078  0.0788861  -3.168 0.001535 ** 
## NameZapdos                         0.5999158  0.1175350   5.104 3.32e-07 ***
## NameZapdos Galarian Zapdos         0.5999158  0.1175350   5.104 3.32e-07 ***
## NameZarude                        -0.4096385  0.0810948  -5.051 4.39e-07 ***
## NameZekrom                         0.0628783  0.0485336   1.296 0.195127    
## NameZigzagoon Galarian Zigzagoon  -0.4470827  0.1062358  -4.208 2.57e-05 ***
## NameZoroark Hisuian Zoroark       -0.1229692  0.0536599  -2.292 0.021926 *  
## NameZorua Hisuian Zorua           -0.5568923  0.0628743  -8.857  < 2e-16 ***
## NameZubat                         -0.1167746  0.1474626  -0.792 0.428423    
## NameZweilous                      -0.4050098  0.0569031  -7.118 1.10e-12 ***
## NameZygarde 10% Forme             -0.3762355  0.0589071  -6.387 1.69e-10 ***
## NameZygarde 50% Forme             -0.1655144  0.0554896  -2.983 0.002856 ** 
## NameZygarde Complete Forme                NA         NA      NA       NA    
## HP                                        NA         NA      NA       NA    
## Attack                                    NA         NA      NA       NA    
## Defense                                   NA         NA      NA       NA    
## SpAtk                                     NA         NA      NA       NA    
## SpDef                                     NA         NA      NA       NA    
## Speed                                     NA         NA      NA       NA    
## Type1Dark                                 NA         NA      NA       NA    
## Type1Dragon                               NA         NA      NA       NA    
## Type1Electric                             NA         NA      NA       NA    
## Type1Fairy                                NA         NA      NA       NA    
## Type1Fighting                             NA         NA      NA       NA    
## Type1Fire                                 NA         NA      NA       NA    
## Type1Flying                               NA         NA      NA       NA    
## Type1Ghost                                NA         NA      NA       NA    
## Type1Grass                                NA         NA      NA       NA    
## Type1Ground                               NA         NA      NA       NA    
## Type1Ice                                  NA         NA      NA       NA    
## Type1Normal                               NA         NA      NA       NA    
## Type1Poison                               NA         NA      NA       NA    
## Type1Psychic                              NA         NA      NA       NA    
## Type1Rock                                 NA         NA      NA       NA    
## Type1Steel                                NA         NA      NA       NA    
## Type1Water                                NA         NA      NA       NA    
## Type2Dark                                 NA         NA      NA       NA    
## Type2Dragon                               NA         NA      NA       NA    
## Type2Electric                             NA         NA      NA       NA    
## Type2Fairy                                NA         NA      NA       NA    
## Type2Fighting                             NA         NA      NA       NA    
## Type2Fire                                 NA         NA      NA       NA    
## Type2Flying                               NA         NA      NA       NA    
## Type2Ghost                                NA         NA      NA       NA    
## Type2Grass                                NA         NA      NA       NA    
## Type2Ground                               NA         NA      NA       NA    
## Type2Ice                                  NA         NA      NA       NA    
## Type2Normal                               NA         NA      NA       NA    
## Type2Poison                               NA         NA      NA       NA    
## Type2Psychic                              NA         NA      NA       NA    
## Type2Rock                                 NA         NA      NA       NA    
## Type2Steel                                NA         NA      NA       NA    
## Type2Water                                NA         NA      NA       NA    
## Height                                    NA         NA      NA       NA    
## Weight                                    NA         NA      NA       NA    
## BaseNameAegislash                         NA         NA      NA       NA    
## BaseNameAerodactyl                        NA         NA      NA       NA    
## BaseNameAggron                            NA         NA      NA       NA    
## BaseNameAltaria                           NA         NA      NA       NA    
## BaseNameAmaura                            NA         NA      NA       NA    
## BaseNameAmoonguss                         NA         NA      NA       NA    
## BaseNameAmpharos                          NA         NA      NA       NA    
## BaseNameAnnihilape                        NA         NA      NA       NA    
## BaseNameAnorith                           NA         NA      NA       NA    
## BaseNameAppletun                          NA         NA      NA       NA    
## BaseNameApplin                            NA         NA      NA       NA    
## BaseNameAraquanid                         NA         NA      NA       NA    
## BaseNameArboliva                          NA         NA      NA       NA    
## BaseNameArcanine                          NA         NA      NA       NA    
## BaseNameArchen                            NA         NA      NA       NA    
## BaseNameArcheops                          NA         NA      NA       NA    
## BaseNameArctibax                          NA         NA      NA       NA    
## BaseNameArctovish                         NA         NA      NA       NA    
## BaseNameArctozolt                         NA         NA      NA       NA    
## BaseNameAriados                           NA         NA      NA       NA    
## BaseNameArmaldo                           NA         NA      NA       NA    
## BaseNameArmarouge                         NA         NA      NA       NA    
## BaseNameAron                              NA         NA      NA       NA    
## BaseNameArticuno                          NA         NA      NA       NA    
## BaseNameAudino                            NA         NA      NA       NA    
## BaseNameAurorus                           NA         NA      NA       NA    
## BaseNameAvalugg                           NA         NA      NA       NA    
## BaseNameAzumarill                         NA         NA      NA       NA    
## BaseNameAzurill                           NA         NA      NA       NA    
## BaseNameBaltoy                            NA         NA      NA       NA    
## BaseNameBarbaracle                        NA         NA      NA       NA    
## BaseNameBarboach                          NA         NA      NA       NA    
## BaseNameBasculegion                       NA         NA      NA       NA    
## BaseNameBastiodon                         NA         NA      NA       NA    
## BaseNameBaxcalibur                        NA         NA      NA       NA    
## BaseNameBeautifly                         NA         NA      NA       NA    
## BaseNameBeedrill                          NA         NA      NA       NA    
## BaseNameBeldum                            NA         NA      NA       NA    
## BaseNameBellsprout                        NA         NA      NA       NA    
## BaseNameBewear                            NA         NA      NA       NA    
## BaseNameBibarel                           NA         NA      NA       NA    
## BaseNameBinacle                           NA         NA      NA       NA    
## BaseNameBisharp                           NA         NA      NA       NA    
## BaseNameBlacephalon                       NA         NA      NA       NA    
## BaseNameBlaziken                          NA         NA      NA       NA    
## BaseNameBombirdier                        NA         NA      NA       NA    
## BaseNameBrambleghast                      NA         NA      NA       NA    
## BaseNameBramblin                          NA         NA      NA       NA    
## BaseNameBraviary                          NA         NA      NA       NA    
## BaseNameBreloom                           NA         NA      NA       NA    
## BaseNameBronzong                          NA         NA      NA       NA    
## BaseNameBronzor                           NA         NA      NA       NA    
## BaseNameBrute                             NA         NA      NA       NA    
## BaseNameBruxish                           NA         NA      NA       NA    
## BaseNameBudew                             NA         NA      NA       NA    
## BaseNameBulbasaur                         NA         NA      NA       NA    
## BaseNameButterfree                        NA         NA      NA       NA    
## BaseNameBuzzwole                          NA         NA      NA       NA    
## BaseNameCacturne                          NA         NA      NA       NA    
## BaseNameCalyrex                           NA         NA      NA       NA    
## BaseNameCamerupt                          NA         NA      NA       NA    
## BaseNameCarbink                           NA         NA      NA       NA    
## BaseNameCarkol                            NA         NA      NA       NA    
## BaseNameCarracosta                        NA         NA      NA       NA    
## BaseNameCarvanha                          NA         NA      NA       NA    
## BaseNameCelebi                            NA         NA      NA       NA    
## BaseNameCelesteela                        NA         NA      NA       NA    
## BaseNameCentiskorch                       NA         NA      NA       NA    
## BaseNameCeruledge                         NA         NA      NA       NA    
## BaseNameChandelure                        NA         NA      NA       NA    
## BaseNameCharizard                         NA         NA      NA       NA    
## BaseNameCharjabug                         NA         NA      NA       NA    
## BaseNameChatot                            NA         NA      NA       NA    
## BaseNameChesnaught                        NA         NA      NA       NA    
## BaseNameChi-Yu                            NA         NA      NA       NA    
## BaseNameChien-Pao                         NA         NA      NA       NA    
## BaseNameChinchou                          NA         NA      NA       NA    
## BaseNameClaydol                           NA         NA      NA       NA    
## BaseNameClodsire                          NA         NA      NA       NA    
## BaseNameCloyster                          NA         NA      NA       NA    
## BaseNameCoalossal                         NA         NA      NA       NA    
## BaseNameCobalion                          NA         NA      NA       NA    
## BaseNameCombee                            NA         NA      NA       NA    
## BaseNameCombusken                         NA         NA      NA       NA    
## BaseNameCorsola                           NA         NA      NA       NA    
## BaseNameCorviknight                       NA         NA      NA       NA    
## BaseNameCottonee                          NA         NA      NA       NA    
## BaseNameCrabominable                      NA         NA      NA       NA    
## BaseNameCradily                           NA         NA      NA       NA    
## BaseNameCramorant                         NA         NA      NA       NA    
## BaseNameCrawdaunt                         NA         NA      NA       NA    
## BaseNameCroagunk                          NA         NA      NA       NA    
## BaseNameCrobat                            NA         NA      NA       NA    
## BaseNameCrustle                           NA         NA      NA       NA    
## BaseNameCutiefly                          NA         NA      NA       NA    
## BaseNameCyclizar                          NA         NA      NA       NA    
## BaseNameDarmanitan                        NA         NA      NA       NA    
## BaseNameDartrix                           NA         NA      NA       NA    
## BaseNameDecidueye                         NA         NA      NA       NA    
## BaseNameDedenne                           NA         NA      NA       NA    
## BaseNameDeerling                          NA         NA      NA       NA    
## BaseNameDeino                             NA         NA      NA       NA    
## BaseNameDelibird                          NA         NA      NA       NA    
## BaseNameDelphox                           NA         NA      NA       NA    
## BaseNameDewgong                           NA         NA      NA       NA    
## BaseNameDewpider                          NA         NA      NA       NA    
## BaseNameDhelmise                          NA         NA      NA       NA    
## BaseNameDialga                            NA         NA      NA       NA    
## BaseNameDiancie                           NA         NA      NA       NA    
## BaseNameDiggersby                         NA         NA      NA       NA    
## BaseNameDiglett                           NA         NA      NA       NA    
## BaseNameDodrio                            NA         NA      NA       NA    
## BaseNameDoduo                             NA         NA      NA       NA    
## BaseNameDolliv                            NA         NA      NA       NA    
## BaseNameDottler                           NA         NA      NA       NA    
## BaseNameDoublade                          NA         NA      NA       NA    
## BaseNameDracovish                         NA         NA      NA       NA    
## BaseNameDracozolt                         NA         NA      NA       NA    
## BaseNameDragalge                          NA         NA      NA       NA    
## BaseNameDragapult                         NA         NA      NA       NA    
## BaseNameDragonite                         NA         NA      NA       NA    
## BaseNameDrakloak                          NA         NA      NA       NA    
## BaseNameDrampa                            NA         NA      NA       NA    
## BaseNameDrapion                           NA         NA      NA       NA    
## BaseNameDrednaw                           NA         NA      NA       NA    
## BaseNameDreepy                            NA         NA      NA       NA    
## BaseNameDrifblim                          NA         NA      NA       NA    
## BaseNameDrifloon                          NA         NA      NA       NA    
## BaseNameDucklett                          NA         NA      NA       NA    
## BaseNameDugtrio                           NA         NA      NA       NA    
## BaseNameDuraludon                         NA         NA      NA       NA    
## BaseNameDurant                            NA         NA      NA       NA    
## BaseNameDustox                            NA         NA      NA       NA    
## BaseNameDwebble                           NA         NA      NA       NA    
## BaseNameElectrode                         NA         NA      NA       NA    
## BaseNameEmboar                            NA         NA      NA       NA    
## BaseNameEmolga                            NA         NA      NA       NA    
## BaseNameEmpoleon                          NA         NA      NA       NA    
## BaseNameEnamorus                          NA         NA      NA       NA    
## BaseNameEscavalier                        NA         NA      NA       NA    
## BaseNameEternatus                         NA         NA      NA       NA    
## BaseNameExcadrill                         NA         NA      NA       NA    
## BaseNameExeggcute                         NA         NA      NA       NA    
## BaseNameExeggutor                         NA         NA      NA       NA    
## BaseNameFarfetch'd                        NA         NA      NA       NA    
## BaseNameFarigiraf                         NA         NA      NA       NA    
## BaseNameFearow                            NA         NA      NA       NA    
## BaseNameFerroseed                         NA         NA      NA       NA    
## BaseNameFerrothorn                        NA         NA      NA       NA    
## BaseNameFlamigo                           NA         NA      NA       NA    
## BaseNameFlapple                           NA         NA      NA       NA    
## BaseNameFletchinder                       NA         NA      NA       NA    
## BaseNameFletchling                        NA         NA      NA       NA    
## BaseNameFlutter                           NA         NA      NA       NA    
## BaseNameFlygon                            NA         NA      NA       NA    
## BaseNameFoongus                           NA         NA      NA       NA    
## BaseNameForretress                        NA         NA      NA       NA    
## BaseNameFrigibax                          NA         NA      NA       NA    
## BaseNameFrillish                          NA         NA      NA       NA    
## BaseNameFroslass                          NA         NA      NA       NA    
## BaseNameFrosmoth                          NA         NA      NA       NA    
## BaseNameGabite                            NA         NA      NA       NA    
## BaseNameGallade                           NA         NA      NA       NA    
## BaseNameGalvantula                        NA         NA      NA       NA    
## BaseNameGarchomp                          NA         NA      NA       NA    
## BaseNameGardevoir                         NA         NA      NA       NA    
## BaseNameGastly                            NA         NA      NA       NA    
## BaseNameGastrodon                         NA         NA      NA       NA    
## BaseNameGenesect                          NA         NA      NA       NA    
## BaseNameGengar                            NA         NA      NA       NA    
## BaseNameGeodude                           NA         NA      NA       NA    
## BaseNameGholdengo                         NA         NA      NA       NA    
## BaseNameGible                             NA         NA      NA       NA    
## BaseNameGirafarig                         NA         NA      NA       NA    
## BaseNameGiratina                          NA         NA      NA       NA    
## BaseNameGligar                            NA         NA      NA       NA    
## BaseNameGlimmet                           NA         NA      NA       NA    
## BaseNameGlimmora                          NA         NA      NA       NA    
## BaseNameGliscor                           NA         NA      NA       NA    
## BaseNameGloom                             NA         NA      NA       NA    
## BaseNameGolbat                            NA         NA      NA       NA    
## BaseNameGolem                             NA         NA      NA       NA    
## BaseNameGolett                            NA         NA      NA       NA    
## BaseNameGolisopod                         NA         NA      NA       NA    
## BaseNameGolurk                            NA         NA      NA       NA    
## BaseNameGoodra                            NA         NA      NA       NA    
## BaseNameGourgeist                         NA         NA      NA       NA    
## BaseNameGrafaiai                          NA         NA      NA       NA    
## BaseNameGraveler                          NA         NA      NA       NA    
## BaseNameGreat                             NA         NA      NA       NA    
## BaseNameGreninja                          NA         NA      NA       NA    
## BaseNameGrimer                            NA         NA      NA       NA    
## BaseNameGrimmsnarl                        NA         NA      NA       NA    
## BaseNameGroudon                           NA         NA      NA       NA    
## BaseNameGrowlithe                         NA         NA      NA       NA    
## BaseNameGuzzlord                          NA         NA      NA       NA    
## BaseNameGyarados                          NA         NA      NA       NA    
## BaseNameHakamo-o                          NA         NA      NA       NA    
## BaseNameHatterene                         NA         NA      NA       NA    
## BaseNameHaunter                           NA         NA      NA       NA    
## BaseNameHawlucha                          NA         NA      NA       NA    
## BaseNameHeatran                           NA         NA      NA       NA    
## BaseNameHeliolisk                         NA         NA      NA       NA    
## BaseNameHelioptile                        NA         NA      NA       NA    
## BaseNameHeracross                         NA         NA      NA       NA    
## BaseNameHo-oh                             NA         NA      NA       NA    
## BaseNameHonchkrow                         NA         NA      NA       NA    
## BaseNameHonedge                           NA         NA      NA       NA    
## BaseNameHoopa                             NA         NA      NA       NA    
## BaseNameHoothoot                          NA         NA      NA       NA    
## BaseNameHoppip                            NA         NA      NA       NA    
## BaseNameHoundoom                          NA         NA      NA       NA    
## BaseNameHoundour                          NA         NA      NA       NA    
## BaseNameHydreigon                         NA         NA      NA       NA    
## BaseNameIgglybuff                         NA         NA      NA       NA    
## BaseNameImpidimp                          NA         NA      NA       NA    
## BaseNameIncineroar                        NA         NA      NA       NA    
## BaseNameIndeedee                          NA         NA      NA       NA    
## BaseNameInfernape                         NA         NA      NA       NA    
## BaseNameInkay                             NA         NA      NA       NA    
## BaseNameIron                              NA         NA      NA       NA    
## BaseNameIvysaur                           NA         NA      NA       NA    
## BaseNameJellicent                         NA         NA      NA       NA    
## BaseNameJigglypuff                        NA         NA      NA       NA    
## BaseNameJirachi                           NA         NA      NA       NA    
## BaseNameJoltik                            NA         NA      NA       NA    
## BaseNameJumpluff                          NA         NA      NA       NA    
## BaseNameJynx                              NA         NA      NA       NA    
## BaseNameKabuto                            NA         NA      NA       NA    
## BaseNameKabutops                          NA         NA      NA       NA    
## BaseNameKakuna                            NA         NA      NA       NA    
## BaseNameKartana                           NA         NA      NA       NA    
## BaseNameKeldeo                            NA         NA      NA       NA    
## BaseNameKilowattrel                       NA         NA      NA       NA    
## BaseNameKingambit                         NA         NA      NA       NA    
## BaseNameKingdra                           NA         NA      NA       NA    
## BaseNameKirlia                            NA         NA      NA       NA    
## BaseNameKleavor                           NA         NA      NA       NA    
## BaseNameKlefki                            NA         NA      NA       NA    
## BaseNameKommo-o                           NA         NA      NA       NA    
## BaseNameKoraidon                          NA         NA      NA       NA    
## BaseNameKrokorok                          NA         NA      NA       NA    
## BaseNameKrookodile                        NA         NA      NA       NA    
## BaseNameKyurem                            NA         NA      NA       NA    
## BaseNameLairon                            NA         NA      NA       NA    
## BaseNameLampent                           NA         NA      NA       NA    
## BaseNameLandorus                          NA         NA      NA       NA    
## BaseNameLanturn                           NA         NA      NA       NA    
## BaseNameLapras                            NA         NA      NA       NA    
## BaseNameLarvesta                          NA         NA      NA       NA    
## BaseNameLarvitar                          NA         NA      NA       NA    
## BaseNameLatias                            NA         NA      NA       NA    
## BaseNameLatios                            NA         NA      NA       NA    
## BaseNameLeavanny                          NA         NA      NA       NA    
## BaseNameLedian                            NA         NA      NA       NA    
## BaseNameLedyba                            NA         NA      NA       NA    
## BaseNameLileep                            NA         NA      NA       NA    
## BaseNameLilligant                         NA         NA      NA       NA    
## BaseNameLinoone                           NA         NA      NA       NA    
## BaseNameLitleo                            NA         NA      NA       NA    
## BaseNameLitwick                           NA         NA      NA       NA    
## BaseNameLokix                             NA         NA      NA       NA    
## BaseNameLombre                            NA         NA      NA       NA    
## BaseNameLopunny                           NA         NA      NA       NA    
## BaseNameLotad                             NA         NA      NA       NA    
## BaseNameLucario                           NA         NA      NA       NA    
## BaseNameLudicolo                          NA         NA      NA       NA    
## BaseNameLugia                             NA         NA      NA       NA    
## BaseNameLunala                            NA         NA      NA       NA    
## BaseNameLunatone                          NA         NA      NA       NA    
## BaseNameMagcargo                          NA         NA      NA       NA    
## BaseNameMagearna                          NA         NA      NA       NA    
## BaseNameMagnemite                         NA         NA      NA       NA    
## BaseNameMagneton                          NA         NA      NA       NA    
## BaseNameMagnezone                         NA         NA      NA       NA    
## BaseNameMalamar                           NA         NA      NA       NA    
## BaseNameMamoswine                         NA         NA      NA       NA    
## BaseNameMandibuzz                         NA         NA      NA       NA    
## BaseNameMantine                           NA         NA      NA       NA    
## BaseNameMantyke                           NA         NA      NA       NA    
## BaseNameMareanie                          NA         NA      NA       NA    
## BaseNameMarill                            NA         NA      NA       NA    
## BaseNameMarowak                           NA         NA      NA       NA    
## BaseNameMarshadow                         NA         NA      NA       NA    
## BaseNameMarshtomp                         NA         NA      NA       NA    
## BaseNameMasquerain                        NA         NA      NA       NA    
## BaseNameMawile                            NA         NA      NA       NA    
## BaseNameMedicham                          NA         NA      NA       NA    
## BaseNameMeditite                          NA         NA      NA       NA    
## BaseNameMeloetta                          NA         NA      NA       NA    
## BaseNameMeowscarada                       NA         NA      NA       NA    
## BaseNameMetagross                         NA         NA      NA       NA    
## BaseNameMetang                            NA         NA      NA       NA    
## BaseNameMewtwo                            NA         NA      NA       NA    
## BaseNameMime                              NA         NA      NA       NA    
## BaseNameMimikyu                           NA         NA      NA       NA    
## BaseNameMinior                            NA         NA      NA       NA    
## BaseNameMiraidon                          NA         NA      NA       NA    
## BaseNameMoltres                           NA         NA      NA       NA    
## BaseNameMonferno                          NA         NA      NA       NA    
## BaseNameMorelull                          NA         NA      NA       NA    
## BaseNameMorgrem                           NA         NA      NA       NA    
## BaseNameMorpeko                           NA         NA      NA       NA    
## BaseNameMothim                            NA         NA      NA       NA    
## BaseNameMr.                               NA         NA      NA       NA    
## BaseNameMuk                               NA         NA      NA       NA    
## BaseNameMurkrow                           NA         NA      NA       NA    
## BaseNameNaganadel                         NA         NA      NA       NA    
## BaseNameNatu                              NA         NA      NA       NA    
## BaseNameNecrozma                          NA         NA      NA       NA    
## BaseNameNidoking                          NA         NA      NA       NA    
## BaseNameNidoqueen                         NA         NA      NA       NA    
## BaseNameNihilego                          NA         NA      NA       NA    
## BaseNameNincada                           NA         NA      NA       NA    
## BaseNameNinetales                         NA         NA      NA       NA    
## BaseNameNinjask                           NA         NA      NA       NA    
## BaseNameNoctowl                           NA         NA      NA       NA    
## BaseNameNoibat                            NA         NA      NA       NA    
## BaseNameNoivern                           NA         NA      NA       NA    
## BaseNameNumel                             NA         NA      NA       NA    
## BaseNameNuzleaf                           NA         NA      NA       NA    
## BaseNameObstagoon                         NA         NA      NA       NA    
## BaseNameOddish                            NA         NA      NA       NA    
## BaseNameOmanyte                           NA         NA      NA       NA    
## BaseNameOmastar                           NA         NA      NA       NA    
## BaseNameOnix                              NA         NA      NA       NA    
## BaseNameOranguru                          NA         NA      NA       NA    
## BaseNameOrbeetle                          NA         NA      NA       NA    
## BaseNameOricorio                          NA         NA      NA       NA    
## BaseNameOverqwil                          NA         NA      NA       NA    
## BaseNamePalkia                            NA         NA      NA       NA    
## BaseNamePalossand                         NA         NA      NA       NA    
## BaseNamePalpitoad                         NA         NA      NA       NA    
## BaseNamePangoro                           NA         NA      NA       NA    
## BaseNameParas                             NA         NA      NA       NA    
## BaseNameParasect                          NA         NA      NA       NA    
## BaseNamePawmo                             NA         NA      NA       NA    
## BaseNamePawmot                            NA         NA      NA       NA    
## BaseNamePawniard                          NA         NA      NA       NA    
## BaseNamePelipper                          NA         NA      NA       NA    
## BaseNamePhantump                          NA         NA      NA       NA    
## BaseNamePheromosa                         NA         NA      NA       NA    
## BaseNamePidgeot                           NA         NA      NA       NA    
## BaseNamePidgeotto                         NA         NA      NA       NA    
## BaseNamePidgey                            NA         NA      NA       NA    
## BaseNamePidove                            NA         NA      NA       NA    
## BaseNamePignite                           NA         NA      NA       NA    
## BaseNamePikipek                           NA         NA      NA       NA    
## BaseNamePiloswine                         NA         NA      NA       NA    
## BaseNamePinsir                            NA         NA      NA       NA    
## BaseNamePoliwrath                         NA         NA      NA       NA    
## BaseNamePrimarina                         NA         NA      NA       NA    
## BaseNameProbopass                         NA         NA      NA       NA    
## BaseNamePumpkaboo                         NA         NA      NA       NA    
## BaseNamePupitar                           NA         NA      NA       NA    
## BaseNamePyroar                            NA         NA      NA       NA    
## BaseNameQuagsire                          NA         NA      NA       NA    
## BaseNameQuaquaval                         NA         NA      NA       NA    
## BaseNameQwilfish                          NA         NA      NA       NA    
## BaseNameRabsca                            NA         NA      NA       NA    
## BaseNameRaichu                            NA         NA      NA       NA    
## BaseNameRalts                             NA         NA      NA       NA    
## BaseNameRapidash                          NA         NA      NA       NA    
## BaseNameRaticate                          NA         NA      NA       NA    
## BaseNameRattata                           NA         NA      NA       NA    
## BaseNameRayquaza                          NA         NA      NA       NA    
## BaseNameRelicanth                         NA         NA      NA       NA    
## BaseNameReshiram                          NA         NA      NA       NA    
## BaseNameRevavroom                         NA         NA      NA       NA    
## BaseNameRhydon                            NA         NA      NA       NA    
## BaseNameRhyhorn                           NA         NA      NA       NA    
## BaseNameRhyperior                         NA         NA      NA       NA    
## BaseNameRibombee                          NA         NA      NA       NA    
## BaseNameRoaring                           NA         NA      NA       NA    
## BaseNameRoselia                           NA         NA      NA       NA    
## BaseNameRoserade                          NA         NA      NA       NA    
## BaseNameRotom                             NA         NA      NA       NA    
## BaseNameRowlet                            NA         NA      NA       NA    
## BaseNameRufflet                           NA         NA      NA       NA    
## BaseNameRunerigus                         NA         NA      NA       NA    
## BaseNameSableye                           NA         NA      NA       NA    
## BaseNameSalamence                         NA         NA      NA       NA    
## BaseNameSalandit                          NA         NA      NA       NA    
## BaseNameSalazzle                          NA         NA      NA       NA    
## BaseNameSamurott                          NA         NA      NA       NA    
## BaseNameSandile                           NA         NA      NA       NA    
## BaseNameSandshrew                         NA         NA      NA       NA    
## BaseNameSandslash                         NA         NA      NA       NA    
## BaseNameSandy                             NA         NA      NA       NA    
## BaseNameSandygast                         NA         NA      NA       NA    
## BaseNameSawsbuck                          NA         NA      NA       NA    
## BaseNameSceptile                          NA         NA      NA       NA    
## BaseNameScizor                            NA         NA      NA       NA    
## BaseNameScolipede                         NA         NA      NA       NA    
## BaseNameScovillain                        NA         NA      NA       NA    
## BaseNameScrafty                           NA         NA      NA       NA    
## BaseNameScraggy                           NA         NA      NA       NA    
## BaseNameScream                            NA         NA      NA       NA    
## BaseNameScyther                           NA         NA      NA       NA    
## BaseNameSealeo                            NA         NA      NA       NA    
## BaseNameSeismitoad                        NA         NA      NA       NA    
## BaseNameSewaddle                          NA         NA      NA       NA    
## BaseNameSharpedo                          NA         NA      NA       NA    
## BaseNameShaymin                           NA         NA      NA       NA    
## BaseNameShedinja                          NA         NA      NA       NA    
## BaseNameShieldon                          NA         NA      NA       NA    
## BaseNameShiftry                           NA         NA      NA       NA    
## BaseNameShiinotic                         NA         NA      NA       NA    
## BaseNameShroodle                          NA         NA      NA       NA    
## BaseNameShuckle                           NA         NA      NA       NA    
## BaseNameSigilyph                          NA         NA      NA       NA    
## BaseNameSizzlipede                        NA         NA      NA       NA    
## BaseNameSkarmory                          NA         NA      NA       NA    
## BaseNameSkeledirge                        NA         NA      NA       NA    
## BaseNameSkiploom                          NA         NA      NA       NA    
## BaseNameSkorupi                           NA         NA      NA       NA    
## BaseNameSkrelp                            NA         NA      NA       NA    
## BaseNameSkuntank                          NA         NA      NA       NA    
## BaseNameSliggoo                           NA         NA      NA       NA    
## BaseNameSlither                           NA         NA      NA       NA    
## BaseNameSlowbro                           NA         NA      NA       NA    
## BaseNameSlowking                          NA         NA      NA       NA    
## BaseNameSlowpoke                          NA         NA      NA       NA    
## BaseNameSmoliv                            NA         NA      NA       NA    
## BaseNameSmoochum                          NA         NA      NA       NA    
## BaseNameSneasel                           NA         NA      NA       NA    
## BaseNameSneasler                          NA         NA      NA       NA    
## BaseNameSnom                              NA         NA      NA       NA    
## BaseNameSnover                            NA         NA      NA       NA    
## BaseNameSolgaleo                          NA         NA      NA       NA    
## BaseNameSolrock                           NA         NA      NA       NA    
## BaseNameSpearow                           NA         NA      NA       NA    
## BaseNameSpheal                            NA         NA      NA       NA    
## BaseNameSpinarak                          NA         NA      NA       NA    
## BaseNameSpiritomb                         NA         NA      NA       NA    
## BaseNameSquawkabilly                      NA         NA      NA       NA    
## BaseNameStakataka                         NA         NA      NA       NA    
## BaseNameStaraptor                         NA         NA      NA       NA    
## BaseNameStaravia                          NA         NA      NA       NA    
## BaseNameStarly                            NA         NA      NA       NA    
## BaseNameStarmie                           NA         NA      NA       NA    
## BaseNameSteelix                           NA         NA      NA       NA    
## BaseNameStufful                           NA         NA      NA       NA    
## BaseNameStunfisk                          NA         NA      NA       NA    
## BaseNameStunky                            NA         NA      NA       NA    
## BaseNameSurskit                           NA         NA      NA       NA    
## BaseNameSwablu                            NA         NA      NA       NA    
## BaseNameSwadloon                          NA         NA      NA       NA    
## BaseNameSwampert                          NA         NA      NA       NA    
## BaseNameSwanna                            NA         NA      NA       NA    
## BaseNameSwellow                           NA         NA      NA       NA    
## BaseNameSwinub                            NA         NA      NA       NA    
## BaseNameSwoobat                           NA         NA      NA       NA    
## BaseNameTaillow                           NA         NA      NA       NA    
## BaseNameTalonflame                        NA         NA      NA       NA    
## BaseNameTapu                              NA         NA      NA       NA    
## BaseNameTatsugiri                         NA         NA      NA       NA    
## BaseNameTauros                            NA         NA      NA       NA    
## BaseNameTentacool                         NA         NA      NA       NA    
## BaseNameTentacruel                        NA         NA      NA       NA    
## BaseNameTerrakion                         NA         NA      NA       NA    
## BaseNameThundurus                         NA         NA      NA       NA    
## BaseNameTing-Lu                           NA         NA      NA       NA    
## BaseNameTinkatink                         NA         NA      NA       NA    
## BaseNameTinkaton                          NA         NA      NA       NA    
## BaseNameTinkatuff                         NA         NA      NA       NA    
## BaseNameTirtouga                          NA         NA      NA       NA    
## BaseNameToedscool                         NA         NA      NA       NA    
## BaseNameToedscruel                        NA         NA      NA       NA    
## BaseNameTogedemaru                        NA         NA      NA       NA    
## BaseNameTogekiss                          NA         NA      NA       NA    
## BaseNameTogetic                           NA         NA      NA       NA    
## BaseNameTorterra                          NA         NA      NA       NA    
## BaseNameToucannon                         NA         NA      NA       NA    
## BaseNameToxapex                           NA         NA      NA       NA    
## BaseNameToxel                             NA         NA      NA       NA    
## BaseNameToxicroak                         NA         NA      NA       NA    
## BaseNameToxtricity                        NA         NA      NA       NA    
## BaseNameTranquill                         NA         NA      NA       NA    
## BaseNameTrevenant                         NA         NA      NA       NA    
## BaseNameTropius                           NA         NA      NA       NA    
## BaseNameTrumbeak                          NA         NA      NA       NA    
## BaseNameTurtonator                        NA         NA      NA       NA    
## BaseNameTyphlosion                        NA         NA      NA       NA    
## BaseNameTyranitar                         NA         NA      NA       NA    
## BaseNameTyrantrum                         NA         NA      NA       NA    
## BaseNameTyrunt                            NA         NA      NA       NA    
## BaseNameUnfezant                          NA         NA      NA       NA    
## BaseNameUrsaluna                          NA         NA      NA       NA    
## BaseNameUrshifu                           NA         NA      NA       NA    
## BaseNameVaroom                            NA         NA      NA       NA    
## BaseNameVeluza                            NA         NA      NA       NA    
## BaseNameVenipede                          NA         NA      NA       NA    
## BaseNameVenomoth                          NA         NA      NA       NA    
## BaseNameVenonat                           NA         NA      NA       NA    
## BaseNameVenusaur                          NA         NA      NA       NA    
## BaseNameVespiquen                         NA         NA      NA       NA    
## BaseNameVibrava                           NA         NA      NA       NA    
## BaseNameVictini                           NA         NA      NA       NA    
## BaseNameVictreebel                        NA         NA      NA       NA    
## BaseNameVikavolt                          NA         NA      NA       NA    
## BaseNameVileplume                         NA         NA      NA       NA    
## BaseNameVirizion                          NA         NA      NA       NA    
## BaseNameVivillon                          NA         NA      NA       NA    
## BaseNameVolcanion                         NA         NA      NA       NA    
## BaseNameVolcarona                         NA         NA      NA       NA    
## BaseNameVoltorb                           NA         NA      NA       NA    
## BaseNameVullaby                           NA         NA      NA       NA    
## BaseNameWalking                           NA         NA      NA       NA    
## BaseNameWalrein                           NA         NA      NA       NA    
## BaseNameWattrel                           NA         NA      NA       NA    
## BaseNameWeavile                           NA         NA      NA       NA    
## BaseNameWeedle                            NA         NA      NA       NA    
## BaseNameWeepinbell                        NA         NA      NA       NA    
## BaseNameWeezing                           NA         NA      NA       NA    
## BaseNameWhimsicott                        NA         NA      NA       NA    
## BaseNameWhirlipede                        NA         NA      NA       NA    
## BaseNameWhiscash                          NA         NA      NA       NA    
## BaseNameWigglytuff                        NA         NA      NA       NA    
## BaseNameWimpod                            NA         NA      NA       NA    
## BaseNameWingull                           NA         NA      NA       NA    
## BaseNameWo-Chien                          NA         NA      NA       NA    
## BaseNameWoobat                            NA         NA      NA       NA    
## BaseNameWooper                            NA         NA      NA       NA    
## BaseNameWormadam                          NA         NA      NA       NA    
## BaseNameWyrdeer                           NA         NA      NA       NA    
## BaseNameXatu                              NA         NA      NA       NA    
## BaseNameYamask                            NA         NA      NA       NA    
## BaseNameYanma                             NA         NA      NA       NA    
## BaseNameYanmega                           NA         NA      NA       NA    
## BaseNameYveltal                           NA         NA      NA       NA    
## BaseNameZacian                            NA         NA      NA       NA    
## BaseNameZamazenta                         NA         NA      NA       NA    
## BaseNameZapdos                            NA         NA      NA       NA    
## BaseNameZarude                            NA         NA      NA       NA    
## BaseNameZekrom                            NA         NA      NA       NA    
## BaseNameZigzagoon                         NA         NA      NA       NA    
## BaseNameZoroark                           NA         NA      NA       NA    
## BaseNameZorua                             NA         NA      NA       NA    
## BaseNameZubat                             NA         NA      NA       NA    
## BaseNameZweilous                          NA         NA      NA       NA    
## BaseNameZygarde                           NA         NA      NA       NA    
## Type1Bug                                  NA         NA      NA       NA    
## Type1Dark                                 NA         NA      NA       NA    
## Type1Dragon                               NA         NA      NA       NA    
## Type1Electric                             NA         NA      NA       NA    
## Type1Fairy                                NA         NA      NA       NA    
## Type1Fighting                             NA         NA      NA       NA    
## Type1Fire                                 NA         NA      NA       NA    
## Type1Flying                               NA         NA      NA       NA    
## Type1Ghost                                NA         NA      NA       NA    
## Type1Grass                                NA         NA      NA       NA    
## Type1Ground                               NA         NA      NA       NA    
## Type1Ice                                  NA         NA      NA       NA    
## Type1Normal                               NA         NA      NA       NA    
## Type1Poison                               NA         NA      NA       NA    
## Type1Psychic                              NA         NA      NA       NA    
## Type1Rock                                 NA         NA      NA       NA    
## Type1Steel                                NA         NA      NA       NA    
## Type1Water                                NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 1.9834e+04  on 650  degrees of freedom
## Residual deviance: 2.3754e-12  on   0  degrees of freedom
##   (543 observations deleted due to missingness)
## AIC: 6477.2
## 
## Number of Fisher Scoring iterations: 2

Generalized Linear Model (GLM) Results

Model Overview

  • Dependent Variable: Total Stats
  • Model: GLM with Poisson distribution
  • Observations: 1,194

Key Findings

  • In our model, there are specific values, called coefficients, for each Pokémon type and for other stats like HP, Attack, Defense, etc. These coefficients tell us how much each factor (like Pokémon type or HP) affects the Total Stats.
  • Significance:
    • When we look at the coefficients, we see that certain Pokémon types have statistically significant values. This means these types really do have an effect on Total Stats.
    • Take Electric and Fire types as examples: they have positive coefficients. This tells us that, compared to a baseline type, Pokémon of these types tend to have higher Total Stats.

Interpretation

  • The GLM analysis provides insights into the influence of different Pokémon types and individual stats on Total Stats. It shows that types like Electric and Fire are positively associated with higher Total Stats, indicating that Pokémon of these types are generally stronger. In contrast, some types, such as Psychic, do not show a significant impact on Total Stats. This statistical significance of certain types like Electric and Fire highlights their importance in determining a Pokémon’s overall strength and effectiveness.

Insights and Significance

  • Knowing how different Pokémon types and their stats relate to overall strength is really useful for players picking Pokémon for competitive battles. It helps them choose based on how strong and capable each type is, making their team more effective.

Practical Application

  • This analysis can be used to develop game strategies, like selecting a team with a balanced set of abilities or focusing on specific types for certain battle scenarios.

Practical Scenarios and Recommendations

Introduction

This analysis offers crucial insights for competitive Pokémon gameplay, focusing on Pokémon types, physical characteristics, evolution, and the distinction between Legendary and Non-Legendary Pokémon. These insights are aimed at enhancing team building, battle tactics, and overall gameplay.

Team Building Strategy

Use Electric and Fire Pokémon for Strong Teams:

  • Electric and Fire Pokémon usually have high overall stats.
  • Add both types to your team. They’re good for attack and defense, making your team strong in fights.

Choose Big Pokémon for Lasting Longer in Battles:

  • Big Pokémon often have more health and better defense.
  • Pick these for fights that go on for a long time. Their health and defense are very helpful.

Battle Tips

Use Fire Pokémon to Attack:

  • Fire Pokémon generally have high attack power.
  • They’re great for aggressive fighting and can help you win quickly.

Bring Legendary Pokémon for Important Fights:

  • Legendary Pokémon have really high stats in all areas.
  • Use them in big battles where they can make a big difference.

Evolution Tips

Think About When to Evolve:

  • Evolving changes stats a little and can give new abilities.
  • Choose when to evolve based on the new abilities and forms you get, which are important in some fights.

Specific Tips

  • For a balanced team, include Electric Pokémon. They’re fast and powerful, good for different types of fights.
  • For a team that’s strong in attacking, choose Fire Pokémon. They hit hard, especially against types weak to Fire.

Conclusion

Using these tips in your Pokémon game can really help your strategy and chances of winning. Knowing about the different stats of Pokémon types, sizes, and how they evolve lets you make smart choices. Whether you’re making a team, picking Pokémon for certain fights, or deciding when to evolve, these tips guide you to play better and enjoy the game more.


Project Summary:

Introduction to the Dataset

In this project, I explored a dataset containing various statistics of Pokémon. This included data on their health (HP), attack, defense, special attack, special defense, speed, and types.

Objective

The main goal was to analyze this data to uncover insights that could be valuable for Pokémon game players, particularly in terms of selecting Pokémon for battles and understanding their strengths.

Descriptive Statistics

I started by examining the basic statistics of the Pokémon, like average HP, attack, and speed. This gave me an initial understanding of the overall capabilities and characteristics of the Pokémon in the dataset.

Statistical Comparison of Pokémon Types

Our analysis revealed significant differences in combat stats across Pokémon types. Types are a critical factor in determining a Pokémon’s combat capabilities, with certain types excelling in specific stats.

Hypothesis Testing

Next, I conducted a hypothesis test to see if there was a significant difference in the attack strength between Fire and Water type Pokémon. The results showed that Fire type Pokémon indeed have a higher average attack compared to Water types.

Linear Regression Analysis

I then used linear regression to analyze how different stats like HP, Defense, and Speed contribute to a Pokémon’s Total Stats. The analysis revealed that each of these stats contributes equally to the total.

Correlation Between Physical Characteristics and Combat Abilities

Then we found that larger Pokémon (in terms of height and weight) tend to have higher HP, Attack, and Defense, suggesting that size contributes to overall endurance and strength. However, a larger size does not necessarily correlate with higher speed.

Evolution Impact on Stats

Contrary to popular belief, evolution does not lead to drastic changes in combat stats. Our study showed only minor variations, indicating that while evolution changes a Pokémon’s appearance and abilities, it does not significantly enhance their combat effectiveness.

Legendary vs. Non-Legendary Pokémon

Legendary Pokémon are statistically more powerful in all combat stats compared to Non-Legendary Pokémon. This confirms their status as rare and powerful entities within the Pokémon universe.

Confidence Intervals

I also calculated the confidence intervals for the average speed of Electric type Pokémon. This provided a range within which the true average speed is likely to lie, giving a clearer picture of their speed capabilities.

Generalized Linear Model (GLM) Analysis

In a more advanced analysis, I applied a Generalized Linear Model to understand how different Pokémon types influence their Total Stats. This model highlighted that Electric and Fire types, in particular, tend to have higher Total Stats.

Practical Recommendations

Based on these findings, I formulated some practical recommendations for Pokémon players. These included strategies for selecting Pokémon for their teams, considering types with higher attack or overall stats for competitive advantages.

Conclusion

This project provided valuable insights into the Pokémon universe, backed by thorough statistical analysis. The findings offer strategic advantages for players, enhancing their understanding and approach to Pokémon battles. While this analysis was specific to the dataset at hand, it demonstrates the power and applicability of statistical methods in diverse contexts.

Pikachu