Note: So you don't have to type in all this data, you may want to right mouse click on a sheet name and "Insert" another sheet. Then copy and Paste special (as text) the entire chart to the new sheet. You can then copy and paste any column from the new sheet to the sheet you need to put the data in.

The following is a chart of 25 baseball players' salaries and statistics from 2016.

Player NameRBI'sHR'sAVGSalary (in millions)
Mike Trout100290.31516.083
Troy Tulowitzki79240.25620.000
Ben Zobrist76180.27210.500
Miquel Cabrera108380.31628.050
Brandon Crawford84120.2756.000
Justin Upton87310.24622.125
Jayson Werth70210.24421.571
Chris Davis84380.22121.119
Joey Votto97290.32620.000
Matt Wieters66170.24315.800
Adrian Beltre104320.30018.000
Prince Fielder4480.21218.000
Victor Martinez86270.28918.000
Robinson Cano103390.29824.050
J.D. Martinez68220.3076.750
Ryan Braun91310.30520.000
Jason Heyward4970.23021.667
Buster Posey80140.28820.802
Jacoby Ellsbury5690.26321.143
Mark Teixeira44150.20423.125
Justin Turner90270.2775.100
Matt Kemp108350.26821.500
Jean Segura64200.3202.600
Evan Gattis72320.2513.300
Hunter Pence57130.28918.500


In order to have correlation at the 0.05 significance between RBI's and Annual Salary, 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=\displaystyle {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=\displaystyle {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=\displaystyle {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 Aaron Hill. His stats were:

RBI: 38

HR: 10

AVG: 0.262

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

His actual salary was $12.000 million.