The following is a chart of 25 baseball players' salaries and statistics from 2019.
Player Name |
RBI's |
HR's |
AVG |
Salary (in millions) |
|---|
Eugenio Suarez |
103 |
49 |
0.271 |
7.286 |
Khris Davis |
73 |
23 |
0.221 |
16.500 |
Kyle Seager |
63 |
23 |
0.237 |
19.500 |
Dexter Fowler |
67 |
19 |
0.238 |
16.500 |
Russell Martin |
20 |
6 |
0.220 |
20.000 |
Brandon Crawford |
59 |
11 |
0.228 |
15.200 |
JD Martinez |
105 |
36 |
0.304 |
23.750 |
Gordon Beckham |
15 |
6 |
0.215 |
0.700 |
Roberto Perez |
63 |
24 |
0.239 |
2.625 |
Eloy Jimenez |
79 |
31 |
0.267 |
1.833 |
Randal Grichuk |
80 |
31 |
0.232 |
8.000 |
Carlos Santana |
93 |
34 |
0.281 |
20.333 |
Xander Bogaerts |
117 |
33 |
0.309 |
12.000 |
Brock Holt |
31 |
3 |
0.297 |
3.575 |
Josh Reddick |
56 |
14 |
0.275 |
13.000 |
Tucker Barnhart |
40 |
11 |
0.231 |
2.938 |
Ozzie Albies |
86 |
24 |
0.295 |
1.000 |
Adam Jones |
67 |
16 |
0.260 |
4.500 |
DJ LeMahieu |
102 |
26 |
0.327 |
12.000 |
Brian Dozier |
50 |
20 |
0.238 |
9.000 |
Starling Marte |
82 |
23 |
0.295 |
10.333 |
Yulieski Gurriel |
104 |
31 |
0.298 |
10.400 |
Gerardo Parra |
48 |
9 |
0.234 |
0.555 |
Albert Pujols |
93 |
23 |
0.244 |
28.000 |
Cameron Maybin |
32 |
11 |
0.285 |
0.555 |
In order to have correlation with 95% confidence (5% 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: y=y=
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: y=y=
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: y=y=
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 Jose Altuve. His stats were:
RBI: 74
HR: 31
AVG: 0.298
Based on your analysis, his predicted salary would be: $ million
His actual salary was $9.500 million.