The following is a chart of 25 baseball players' salaries and statistics from 2019.   Player Name RBI's HR's AVG Salary (in millions) Paul DeJong 78 30 0.233 1.667 Carlos Santana 93 34 0.281 20.333 Ian Desmond 65 20 0.255 15.000 Whit Merrifield 74 16 0.303 1.000 Jean Segura 60 12 0.280 14.950 Christian Vazquez 72 23 0.276 2.850 Josh Reddick 56 14 0.275 13.000 Khris Davis 73 23 0.221 16.500 Jose Martinez 42 10 0.270 1.125 Shin-Soo Choo 61 24 0.265 21.000 Tucker Barnhart 40 11 0.231 2.938 Elvis Andrus 72 12 0.275 15.250 Albert Pujols 93 23 0.244 28.000 Adam Jones 67 16 0.260 4.500 Melky Cabrera 47 7 0.280 1.150 Michael Brantley 90 22 0.311 16.000 Kevin Kiermaier 55 14 0.228 8.167 Eduardo Escobar 118 35 0.269 6.167 Bryce Harper 114 35 0.260 11.538 Xander Bogaerts 117 33 0.309 12.000 Gordon Beckham 15 6 0.215 0.700 Kolten Wong 59 11 0.285 6.500 Jason Heyward 62 21 0.252 22.500 Marwin Gonzalez 55 15 0.264 12.000 Paul Goldschmidt 97 34 0.260 15.500

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The following is a chart of 25 baseball players' salaries and statistics from 2019.

 

Player Name RBI's HR's AVG Salary (in millions)
Paul DeJong 78 30 0.233 1.667
Carlos Santana 93 34 0.281 20.333
Ian Desmond 65 20 0.255 15.000
Whit Merrifield 74 16 0.303 1.000
Jean Segura 60 12 0.280 14.950
Christian Vazquez 72 23 0.276 2.850
Josh Reddick 56 14 0.275 13.000
Khris Davis 73 23 0.221 16.500
Jose Martinez 42 10 0.270 1.125
Shin-Soo Choo 61 24 0.265 21.000
Tucker Barnhart 40 11 0.231 2.938
Elvis Andrus 72 12 0.275 15.250
Albert Pujols 93 23 0.244 28.000
Adam Jones 67 16 0.260 4.500
Melky Cabrera 47 7 0.280 1.150
Michael Brantley 90 22 0.311 16.000
Kevin Kiermaier 55 14 0.228 8.167
Eduardo Escobar 118 35 0.269 6.167
Bryce Harper 114 35 0.260 11.538
Xander Bogaerts 117 33 0.309 12.000
Gordon Beckham 15 6 0.215 0.700
Kolten Wong 59 11 0.285 6.500
Jason Heyward 62 21 0.252 22.500
Marwin Gonzalez 55 15 0.264 12.000
Paul Goldschmidt 97 34 0.260 15.500



In order to have correlation with 95% confidence (5% significance), what is the critical r-value that we would like to have?  

 

(Round to three decimal places for all answers on this assignment.)

RBI vs. Salary

Complete a correlation analysis, using RBI's as the x-value and salary as the y-value. 

Correlation coefficient

Regression Equation: y=y=   

Do you have significant correlation?    

HR vs. Salary

Complete a correlation analysis, using HR's as the x-value and salary as the y-value. 

Correlation coefficient: 

Regression Equation: y=    

Do you have significant correlation?      

AVG vs. Salary

Complete a correlation analysis, using AVG as the x-value and salary as the y-value. 

Correlation coefficient:  

Regression Equation: y=    

Do you have significant correlation?    

Prediction

Based on your analysis, if you had to predict a player's salary, which method would be the best?      

Using that method, predict the salary for DJ LeMahieu. His stats were:

RBI: 102

HR: 26

AVG: 0.327

Based on your analysis, his predicted salary would be: $ million 

His actual salary was $12.000 million. 

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