A baseball team\'s general manager believes that average attendance in thousands

Question

A baseball team's general manager believes that average attendance in thousands depends on the percentage of games won. The data are shown below (n = 9): The estimates of b_0 and b_1 are: Using a T - Test, test whether the slope term is significantly different from zero. That is, test H_0: beta_1 = 0, vs H_A: beta_1 notequalto 0 at alpha = 05. (2-tailed test). lb. The ANOVA table below comes from the equation above, and is incomplete. Fill in the table, & test the hypothesis H_0: beta_1 = 0, vs. H_A: beta_1 notequalto 0, at alpha = 05, using the F test to test whether all the independent variables (1 variable in this case) affect Y. You are given: sigma Y^2_j = 3068 sigma X_i Y_i = 9344 sigma X_i = 504 sigma Y_i = 160 sigma X^2_i = 28890 The SST comes from sigma^n_i = 1 Y^2_i - nY^2 = 3068 - 9 * 17.7778^2

Explanation / Answer

0.627358

SUMMARY OUTPUT Regression Statistics Multiple R 0.9951794 R Square 0.99038203 Adjusted R Square 0.98900804 Standard Error 0.55422406 Observations 9 ANOVA df SS MS F Significance F Regression 1 221.4054054 221.4054 720.8045    2.54891E-08 Residual 7 2.15015015 0.307164 Total 8 223.5555556 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -14.510511 1.216748378 -11.9256 6.63E-06 -17.3876632 -11.633358 X 0.57657658 0.021475746 26.8478 2.55E-08 0.525794507

0.627358

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