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

Player NameRBI'sHR'sAVGSalary (in millions)
Brian McCann58200.24217.000
Joe Mauer49110.26123.000
Coco Crisp55130.23111.000
Justin Turner90270.2775.100
Mark Teixeira44150.20423.125
Miquel Cabrera108380.31628.050
Buster Posey80140.28820.802
Yoenis Cespedes86310.28427.500
Victor Martinez86270.28918.000
Matt Kemp108350.26821.500
Matt Holliday62200.24617.000
Ben Zobrist76180.27210.500
Jorge Soler31120.2383.667
Albert Pujols119310.26825.000
Prince Fielder4480.21218.000
Leonys Martin47150.2454.150
Jason Heyward4970.23021.667
Chris Davis84380.22121.119
Aaron Hill38100.26212.000
Ryan Howard59250.19625.000
Adrian Gonzalez90180.28521.857
Mike Trout100290.31516.083
Logan Forsythe52200.2642.750
Matt Wieters66170.24315.800
Justin Upton87310.24622.125

A) RBI vs. Salary

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

1) In order to have positive correlation at a 5% significance level, the r test statistic (the correlation coefficient) needs to be greater than what?  

2) Correlation coefficient:

3) Regression Equation: y=\displaystyle {y}=  

4) Do you have significant positive correlation?

B) HR vs. Salary

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

1) Correlation coefficient:

2) Regression Equation: y=\displaystyle {y}=    

3) Do you have significant positive correlation?  

C) AVG vs. Salary

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

1) Correlation coefficient:

2) Regression Equation: y=\displaystyle {y}=    

3) Do you have significant positive correlation?

D) Prediction

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

2) Using that method, predict the salary for Jayson Werth. His stats were:

RBI: 70

HR: 21

AVG: 0.244

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

His actual salary was $21.571 million.