raft ?? Blackboard My 2411 ONLINE Cumulative Section M16 Assignment: Baseball Pl
ID: 3366598 • Letter: R
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raft ?? Blackboard My 2411 ONLINE Cumulative Section M16 Assignment: Baseball Player Salaries (OHM) The following is a chart of 25 baseball players salaries and statistics from 2016. Player Name RBI'S HR'S AVG Salary in millions 90 27 0.277 14 0.288 5.100 20.802 25.000 3.667 21.571 27.500 Justin Turner Buster Posey Albert Pujols119 31 0.268 0.238 Jorge Soler 31 12 Jayson Werth 70 21 0244 Yoenis Cespedes 86 31 0.284 Justin Upton87 31 0.246 22.125 38 10 0.262 12000 Jacoby Ellsbury 56 9 0.26321.143 Aaron Hill David Ortiz Joe Mauer Prince Fielder Matt Kemp 127 38 0.315 49 11 0.261 8 0.212 0.268 30 0.237 16.000 23.000 18.000 21.500 16.000 108 35 Curtis Granderson 59 5 6 7 8Explanation / Answer
1] Correlation with 95% significance ,
r critical value = r(n-2),0.05 = r (23,0.05) = 0.396
2] RBI Vs Salary
Regression Analysis: SALARY versus RBI
Model Summary
S R-sq R-sq(adj) R-sq(pred)
6562.49 17.63% 14.05% 2.64%
r = sqrt(R^2)
r = sqrt(0.1763)
correlation coefficient = r = 0.4199
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 9233 3942 2.34 0.028
RBI 109.8 49.5 2.22 0.037 1.00
Regression Equation
SALARY = 9233 + 109.8 RBI
r = 0.4199 > r ctritical = 0.396
Therefore it is significant.
3] Regression Analysis: SALARY versus HR
Model Summary
S R-sq R-sq(adj) R-sq(pred)
6950.15 7.61% 3.59% 0.00%
r = sqrt(R^2) = sqrt(0.0761)
r = 0.2758
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 13131 3452 3.80 0.001
HR 199 144 1.38 0.182 1.00
Regression Equation
SALARY = 13131 + 199 HR
r = 0.2758 < r critical = 0.396
Therefore it is not significant.
4] Regression Analysis: SALARY versus AVG
Model Summary
S R-sq R-sq(adj) R-sq(pred)
7202.78 0.77% 0.00% 0.00%
r = sqrt(R^2) = sqrt(0.077)
r = 0.08775
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 12498 11871 1.05 0.303
AVG 18653 44118 0.42 0.676 1.00
Regression Equation
SALARY = 12498 + 18653 AVG
r = 0.08775 < r critical = 0.396
Therefore it is not significant.
5]
Predicted salary is,
RBI = 100
HR = 29
AVG = 0.315
SALARY = 9233 + 109.8 RBI
SALARY = 9233+(109.8*100)
SALARY = 20213
SALARY = 13131 + 199 HR
SALARY = 13131 + 199*29
SALARY= 18902
SALARY = 12498 + 18653 AVG
SALARY = 12498 + 18653 * 0.315
SALARY = 18373.70
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