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In: Statistics and Probability

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

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

Player Name RBI's HR's AVG Salary (in millions)
Adam Jones 67 16 0.260 4.500
Marwin Gonzalez 55 15 0.264 12.000
Wil Myers 53 18 0.239 5.500
Christian Vazquez 72 23 0.276 2.850
Adam Eaton 49 15 0.279 8.400
Joey Votto 47 15 0.261 25.000
Stephen Piscotty 44 13 0.249 7.333
DJ LeMahieu 102 26 0.327 12.000
Max Kepler 90 36 0.252 6.000
Christian Yelich 97 44 0.329 9.750
Lourdes Gurriel Jr 50 20 0.277 1.929
Brock Holt 31 3 0.297 3.575
Melky Cabrera 47 7 0.280 1.150
Miguel Rojas 46 5 0.284 3.155
Freddie Freeman 121 38 0.295 21.409
Yadier Molina 57 10 0.270 20.000
Manny Machado 85 32 0.256 12.000
Nelson Cruz 108 41 0.311 14.000
Gerardo Parra 48 9 0.234 0.555
Jason Heyward 62 21 0.252 22.500
Cameron Maybin 32 11 0.285 0.555
JD Martinez 105 36 0.304 23.750
Eloy Jimenez 79 31 0.267 1.833
Paul DeJong 78 30 0.233 1.667
Ian Desmond 65 20 0.255 15.000



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? ? Yes No

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=y=     

Do you have significant correlation? ? Yes No   

AVG vs. Salary

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

Correlation coefficient:  

Regression Equation: y=y=     

Do you have significant correlation? ? Yes No

Prediction

Based on your analysis, if you had to predict a player's salary, which method would be the best? Select an answer Regression equation with RBI's Regression equation with HR's Regression equation with AVG The average of the 25 salaries

Using that method, predict the salary for Brandon Lowe. His stats were:

RBI: 51

HR: 17

AVG: 0.270

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

His actual salary was $1.000 million.

Solutions

Expert Solution

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

Answer: 0.396 [Also check this in your table if given df= 23,alpha=0.005]

RBI vs. Salary

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

Correlation coefficient: 0.408

Regression Equation: y= 0.698+0.130x

Do you have significant correlation? Yes

HR vs. Salary

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

Correlation coefficient: 0.311

Regression Equation: y= 4.972+0.210x

Do you have significant correlation? ? No   

AVG vs. Salary

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

Correlation coefficient: 0.193

Regression Equation: y= -6.447+58.161

Do you have significant correlation? No

Prediction

Based on your analysis, if you had to predict a player's salary, which method would be the best? Select an answer Regression equation with RBI's Regression equation with HR's Regression equation with AVG The average of the 25 salaries

RBI vs. Salary

Using that method, predict the salary for Brandon Lowe. His stats were:

RBI: 51

HR: 17

AVG: 0.270

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

His actual salary was $1.000 million.

Regression Equation: y= 0.698+0.130*51

= 7.328 ($million)

orchestra answered 1 year ago
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