The following is a chart of 25 baseball players' salaries and statistics from 2016.
| Player Name | RBI's | HR's | AVG | Salary (in millions) |
|---|---|---|---|---|
| Hanley Ramirez | 111 | 30 | 0.286 | 22.750 |
| Denard Span | 53 | 11 | 0.266 | 5.000 |
| Robinson Cano | 103 | 39 | 0.298 | 24.050 |
| Carlos Gonzalez | 100 | 25 | 0.298 | 17.454 |
| Adrian Gonzalez | 90 | 18 | 0.285 | 21.857 |
| Justin Turner | 90 | 27 | 0.277 | 5.100 |
| Matt Kemp | 108 | 35 | 0.268 | 21.500 |
| Hunter Pence | 57 | 13 | 0.289 | 18.500 |
| Jean Segura | 64 | 20 | 0.320 | 2.600 |
| Joe Mauer | 49 | 11 | 0.261 | 23.000 |
| Shin-Soo Choo | 17 | 7 | 0.242 | 20.000 |
| Ben Zobrist | 76 | 18 | 0.272 | 10.500 |
| Yoenis Cespedes | 86 | 31 | 0.284 | 27.500 |
| Miquel Cabrera | 108 | 38 | 0.316 | 28.050 |
| Troy Tulowitzki | 79 | 24 | 0.256 | 20.000 |
| Adrian Beltre | 104 | 32 | 0.300 | 18.000 |
| Chris Davis | 84 | 38 | 0.221 | 21.119 |
| Adam Jones | 83 | 29 | 0.265 | 16.000 |
| Jayson Werth | 70 | 21 | 0.244 | 21.571 |
| Justin Upton | 87 | 31 | 0.246 | 22.125 |
| Buster Posey | 80 | 14 | 0.288 | 20.802 |
| Mike Trout | 100 | 29 | 0.315 | 16.083 |
| Jorge Soler | 31 | 12 | 0.238 | 3.667 |
| Aaron Hill | 38 | 10 | 0.262 | 12.000 |
| J.D. Martinez | 68 | 22 | 0.307 | 6.750 |
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:
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 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.
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