The following is a chart of 25 baseball players' salaries and statistics from 2016.
| Player Name | RBI's | HR's | AVG | Salary (in millions) |
|---|---|---|---|---|
| Prince Fielder | 44 | 8 | 0.212 | 18.000 |
| Denard Span | 53 | 11 | 0.266 | 5.000 |
| Troy Tulowitzki | 79 | 24 | 0.256 | 20.000 |
| Hunter Pence | 57 | 13 | 0.289 | 18.500 |
| Leonys Martin | 47 | 15 | 0.245 | 4.150 |
| Justin Upton | 87 | 31 | 0.246 | 22.125 |
| David Ortiz | 127 | 38 | 0.315 | 16.000 |
| Jason Heyward | 49 | 7 | 0.230 | 21.667 |
| Chris Davis | 84 | 38 | 0.221 | 21.119 |
| Justin Turner | 90 | 27 | 0.277 | 5.100 |
| Victor Martinez | 86 | 27 | 0.289 | 18.000 |
| Matt Kemp | 108 | 35 | 0.268 | 21.500 |
| Matt Holliday | 62 | 20 | 0.246 | 17.000 |
| Evan Gattis | 72 | 32 | 0.251 | 3.300 |
| Brian McCann | 58 | 20 | 0.242 | 17.000 |
| Colby Rasmus | 54 | 15 | 0.206 | 15.800 |
| Jayson Werth | 70 | 21 | 0.244 | 21.571 |
| Joey Votto | 97 | 29 | 0.326 | 20.000 |
| Rajai Davis | 48 | 12 | 0.249 | 5.950 |
| Hanley Ramirez | 111 | 30 | 0.286 | 22.750 |
| Adam Jones | 83 | 29 | 0.265 | 16.000 |
| Shin-Soo Choo | 17 | 7 | 0.242 | 20.000 |
| J.D. Martinez | 68 | 22 | 0.307 | 6.750 |
| Brandon Crawford | 84 | 12 | 0.275 | 6.000 |
| Ryan Braun | 91 | 31 | 0.305 | 20.000 |
In order to have correlation with 95% significance, 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:
HR vs. Salary
Complete a correlation analysis, using HR's as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation:
AVG vs. Salary
Complete a correlation analysis, using AVG as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation:
Mean Salary
What is the mean salary of the listed players: