How do you read the results of a multiple linier regression

How do you read the results of a multiple linier regression? What are the results for this particular one?

Regression Statistics
R 0.51088
R Square 0.261
Adjusted R Square 0.19942
S 3.74164
Total number of observations 27
Total Post Season Wins (2004 to 2014) =- 54.5791 - 5.4137 * Team ERA + 308.7029 * Team Batting Average
ANOVA
d.f. SS MS F p-level
Regression 2. 118.66918 59.33459 4.23822 0.02653
Residual 24. 335.99749 13.9999
Total 26. 454.66667
Coefficients Standard Error LCL UCL t Stat p-level H0 (5%) rejected?
Intercept -54.57906 34.94905 -126.71035 17.55224 -1.56167 0.13146 No
Team ERA -5.41369 2.41692 -10.40196 -0.42542 -2.23992 0.03462 Yes
Team Batting Average 308.70294 136.15898 27.68461 589.72128 2.26722 0.03267 Yes
T (5%) 2.0639
LCL - Lower value of a reliable interval (LCL)
UCL - Upper value of a reliable interval (UCL)

Solution

The multiple liner regression line of Total wins based on the Team ERA and Batting Average is given by the equation

Total Wins (Y) =- 54.5791 - 5.4137 * Team ERA(X1) + 308.7029 * Team Batting Average(X2)

i.e., Y = -54.5791 -5.4137X1 +308.7029X2

The R2 value is 0.261 i.e., 26.1% of the variation in the wins is determined by Team ERA and Team Batting Average

How do you read the results of a multiple linier regression? What are the results for this particular one? Regression Statistics R 0.51088 R Square 0.261 Adjust

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