Chap14_part3 - 640 Chapter 14: Multiple Regression Model...

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128 Chapter 14: Multiple Regression Model Building 14.43 (a) Let 1 2 3 4 5 Temp Win% OpWin% Weekend Promotion X X X X X = = = = = Regression Statistics Multiple R 0.548682487 R Square 0.301052472 Adjusted R Square 0.253826288 Standard Error 6442.445556 Observations 80 ANOVA df SS MS F Significance F Regression 5 1322911703 264582340.6 6.374693962 5.64724E-05 Residual 74 3071377751 41505104.74 Total 79 4394289454 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -3862.480824 6180.945239 -0.624901318 0.533958024 -16178.2845 8453.322857 Temp 51.70312897 62.94392766 0.821415677 0.414048121 -73.71539943 177.1216574 Win% 21.10849307 16.23380374 1.300280169 0.19754021 -11.23807078 53.45505692 OpWin% 11.34534827 6.461665194 1.755793272 0.083261605 -1.529802193 24.22049874 Weekend 367.5377188 2786.263932 0.13191059 0.895413015 -5184.215009 5919.290446 Promotion 6927.882029 2784.344175 2.488155771 0.015091308 1379.954501 12475.80956 (b) 4 1 2 3 4 5 -3862.481+51.703 21.108 11.345 367.538 6927.882 Y X X X X X = + + + + (c) Intercept: Since all the non-dummy independent variables cannot have zero values, the intercept should be interpreted as the portion of paid attendance that varies with factors other than those already included in the model. Temp: As the high temperature increases by one degree, the estimated average paid attendance will increase by 51.70 taking into consideration all the other independent variables included in the model. Win%: As the winning percentage of the team improves by 1%, the estimated average paid attendance will increase by 21.11 taking into consideration all the other independent variables included in the model. OpWin%: As the opponent team’s winning percentage at the time of the game improves by 1%, the estimated average paid attendance will increase by 11.35 taking into consideration all the other independent variables included in the model. Weekend: The estimated average paid attendance of a game played on a weekend will be 367.54 higher than when the game is played on a weekday taking into consideration all the other independent variables included in the model. Promotion: The estimated average paid attendance on promotion day will be 6927.88 higher than when there is no promotion taking into consideration all the other independent variables included in the model.
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129 Chapter 14: Multiple Regression Model Building 14.43 (d) 0 1 : 0 : 0 j j H H β = for j = 1, 2, 3, 4, or 5 cont. At a 0.05 level of significance, the independent variable that makes a significant contribution to the regression model individually is the promotion dummy variable. (e) Adjusted 2 0.2538 r = . 25.38% of the variation in attendance can be explained by the 5 independent variables after adjusting for the number of independent variables and the sample size. (f)
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This homework help was uploaded on 04/09/2008 for the course ENGR, STAT 320, 262, taught by Professor Harris during the Spring '08 term at Purdue University-West Lafayette.

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Chap14_part3 - 640 Chapter 14: Multiple Regression Model...

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