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

Player NameRBI'sHR'sAVGSalary (in millions)
Hanley Ramirez111300.28622.750
Denard Span53110.2665.000
Robinson Cano103390.29824.050
Carlos Gonzalez100250.29817.454
Adrian Gonzalez90180.28521.857
Justin Turner90270.2775.100
Matt Kemp108350.26821.500
Hunter Pence57130.28918.500
Jean Segura64200.3202.600
Joe Mauer49110.26123.000
Shin-Soo Choo1770.24220.000
Ben Zobrist76180.27210.500
Yoenis Cespedes86310.28427.500
Miquel Cabrera108380.31628.050
Troy Tulowitzki79240.25620.000
Adrian Beltre104320.30018.000
Chris Davis84380.22121.119
Adam Jones83290.26516.000
Jayson Werth70210.24421.571
Justin Upton87310.24622.125
Buster Posey80140.28820.802
Mike Trout100290.31516.083
Jorge Soler31120.2383.667
Aaron Hill38100.26212.000
J.D. Martinez68220.3076.750

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 Jacoby Ellsbury. His stats were:

RBI: 56

HR: 9

AVG: 0.263

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

His actual salary was $21.143 million.