1. Data in M4 (posted on Blackboard) are the 1976 team performance statistics fo
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1. Data in M4 (posted on Blackboard) are the 1976 team performance statistics for the 28 teams in the National Football League (Source: pro-football-reference.com). Computer output of a Minitab multiple regression model relating the number of games won (y) to the teams' passing yardage (x2), the percent rushing plays (x7) and the opponents' rushing yards (x8) is shown below: Regression Analysis: y versus x2, x7, x8 Analysis of variance Source DF Adj SS Adj MS F-value P-value Regression 3 249.45 83.151 25.75 0.000 1 100.28 100.282 31.05 0.000 7.76 0.010 1 25.05 25.054 9.03 0.006 1 29.16 29.158 77.51 3.230 24 Error 27 326.96 Total Model Summary sq (adj) sq (pred) R-Sq 76.298 69.308 73.336 1.79711 Coefficients VIF P-Value value SE Coef Coef Term 0.340 0.97 85 Constant 7.63 1.06 0.000 0.003976 0.000714 5.57 1.97 0.010 2.79 0890 0.2478 1.90 0.006 0.00130 0.00389 Regression Equation 0.00 389 x8 y 7.63 0.003976 x2 2478 x7 Prediction for y 1800 Variable Setting x 2 2000 958 PI Fit SE Fit 958 328 34, 12.0253) 8.17684 0.497392 (7.15027, 9.20341) (4.Explanation / Answer
(a) 76.29%
(b) Since the p- value for regression is 0, the regression is significant at = 0.01
(c) There is an incrase of 0.004 in the number of games won for every unit increase in the passing yardage
(d) The p- value for x7 is 0.01. Since this is < 0.05, x7 is a significant predictor of y.
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