Academics have noticed that attendance at lectures has declined over the last decade or so. A marketing lecturer decides to collect data on 12 students lecture attendance over a 13 week session. She believes that the attendance is related to the distance a student has to travel to campus (in km) and how many weeks students access the video recording on the lecture attendance.

The results of the analysis are below.

(a) Write the multiple regression equation (2 marks)

(b) Interpret the meaning of the coefficient of determination ( 2 marks)

(c) Write down another potential independent variable that could be included in the analysis. (1 mark)

(d) Interpret the meaning of slopes b1 and b2. (2 marks)

(e) Predict the attendance for a student who lives 10km from campus and who accessed 4 video lectures. (2 marks)

(f) Using an F-Test , test the overall model at a 5% level of significance. (Use the hypothesis testing steps) (3 marks)

(g) Determine which of the independent variables are significant at the 5% level of significance. (use t tests for each coefficient). (3 marks)

SUMMARY OUTPUT Regression Statistics Multiple R 0.712440338 R Square 0.507571235 Adjusted R Square 0.39814262 Standard Error 2.815850676 Observations 12 ANOVA of SS 2 73.55553142 971.36113525 11 144.9166667 MS 36.77776571 7.929015027 F 4.638377602 Regression Residual Total Significance F 0.041261534 Intercept Distance Video Standard Coefficients Error Stot 14.273345783.137721413 4.548952536 -0.167509784 0.063299143 -2.646319912 -0.623166266 0.411100506 -1.515848939 P-value 0.001388017 0.026636391 0.16 Lower 95% Upper 955 7.17532681 21.3713647 -0.310702394 -0.0243172 15 SUMMARY OUTPUT Regression Statistics Multiple R 0.712440338 R Square 0.507571235 Adjusted R Square 0.39814262 Standard Error 2.815850676 Observations 12 ANOVA df SS 2 73.55553142 971.36113525 11 144.9166667 MS 36.77776571 7.929015027 Significance F 0.041261534 Regression Residual Total 4.638377602 Intercept Distance Video Standard Coefficients Error Stot 14.273345783.137721413 4.548952536 -0.167509784 0.063299143 -2.646319912 -0.623166266 0.411100506-1.515848939 P-value 0.001388017 0.026636391 0.163862606 Lower 95% Upper 95% 7.17532681 21.3713647 -0.310702394 -0.0243172 -1.553140220.30680769