The following is a chart of 25 baseball players' salaries and statistics from 2016.
Player Name | RBI's | HR's | AVG | Salary (in millions) |
---|---|---|---|---|
Brian McCann | 58 | 20 | 0.242 | 17.000 |
Joe Mauer | 49 | 11 | 0.261 | 23.000 |
Coco Crisp | 55 | 13 | 0.231 | 11.000 |
Justin Turner | 90 | 27 | 0.277 | 5.100 |
Mark Teixeira | 44 | 15 | 0.204 | 23.125 |
Miquel Cabrera | 108 | 38 | 0.316 | 28.050 |
Buster Posey | 80 | 14 | 0.288 | 20.802 |
Yoenis Cespedes | 86 | 31 | 0.284 | 27.500 |
Victor Martinez | 86 | 27 | 0.289 | 18.000 |
Matt Kemp | 108 | 35 | 0.268 | 21.500 |
Matt Holliday | 62 | 20 | 0.246 | 17.000 |
Ben Zobrist | 76 | 18 | 0.272 | 10.500 |
Jorge Soler | 31 | 12 | 0.238 | 3.667 |
Albert Pujols | 119 | 31 | 0.268 | 25.000 |
Prince Fielder | 44 | 8 | 0.212 | 18.000 |
Leonys Martin | 47 | 15 | 0.245 | 4.150 |
Jason Heyward | 49 | 7 | 0.230 | 21.667 |
Chris Davis | 84 | 38 | 0.221 | 21.119 |
Aaron Hill | 38 | 10 | 0.262 | 12.000 |
Ryan Howard | 59 | 25 | 0.196 | 25.000 |
Adrian Gonzalez | 90 | 18 | 0.285 | 21.857 |
Mike Trout | 100 | 29 | 0.315 | 16.083 |
Logan Forsythe | 52 | 20 | 0.264 | 2.750 |
Matt Wieters | 66 | 17 | 0.243 | 15.800 |
Justin Upton | 87 | 31 | 0.246 | 22.125 |
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:
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:
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:
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.
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