Note: So you don't have to type in all this data, you may want to right mouse click on a sheet name and "Insert" another sheet. Then copy and Paste special (as text) the entire chart to the new sheet. You can then copy and paste any column from the new sheet to the sheet you need to put the data in.
The following is a chart of 25 baseball players' salaries and statistics from 2016.
Player Name | RBI's | HR's | AVG | Salary (in millions) |
---|---|---|---|---|
Mike Trout | 100 | 29 | 0.315 | 16.083 |
Troy Tulowitzki | 79 | 24 | 0.256 | 20.000 |
Ben Zobrist | 76 | 18 | 0.272 | 10.500 |
Miquel Cabrera | 108 | 38 | 0.316 | 28.050 |
Brandon Crawford | 84 | 12 | 0.275 | 6.000 |
Justin Upton | 87 | 31 | 0.246 | 22.125 |
Jayson Werth | 70 | 21 | 0.244 | 21.571 |
Chris Davis | 84 | 38 | 0.221 | 21.119 |
Joey Votto | 97 | 29 | 0.326 | 20.000 |
Matt Wieters | 66 | 17 | 0.243 | 15.800 |
Adrian Beltre | 104 | 32 | 0.300 | 18.000 |
Prince Fielder | 44 | 8 | 0.212 | 18.000 |
Victor Martinez | 86 | 27 | 0.289 | 18.000 |
Robinson Cano | 103 | 39 | 0.298 | 24.050 |
J.D. Martinez | 68 | 22 | 0.307 | 6.750 |
Ryan Braun | 91 | 31 | 0.305 | 20.000 |
Jason Heyward | 49 | 7 | 0.230 | 21.667 |
Buster Posey | 80 | 14 | 0.288 | 20.802 |
Jacoby Ellsbury | 56 | 9 | 0.263 | 21.143 |
Mark Teixeira | 44 | 15 | 0.204 | 23.125 |
Justin Turner | 90 | 27 | 0.277 | 5.100 |
Matt Kemp | 108 | 35 | 0.268 | 21.500 |
Jean Segura | 64 | 20 | 0.320 | 2.600 |
Evan Gattis | 72 | 32 | 0.251 | 3.300 |
Hunter Pence | 57 | 13 | 0.289 | 18.500 |
In order to have correlation at the 0.05 significance between RBI's and Annual Salary, 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:
Do you have significant correlation?
HR vs. Salary
Complete a correlation analysis, using HR's as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation:
Do you have significant correlation?
AVG vs. Salary
Complete a correlation analysis, using AVG as the x-value and salary as the y-value.
Correlation coefficient:
Regression Equation:
Do you have significant correlation?
Prediction
Based on your analysis, if you had to predict a player's salary, which method would be the best?
Using that method, predict the salary for Aaron Hill. His stats were:
RBI: 38
HR: 10
AVG: 0.262
Based on your analysis, his predicted salary would be: $ million
His actual salary was $12.000 million.