How do you read the results of a multiple linier regression? What are the result

Question

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)

Explanation / Answer

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

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