For Exercise 11.33, see page 550; for 11.34 and 11.35, see page 554; for 11.36 and 11.37, see page 555; for 11.38, see page 558; for 11.39, see page 559; and for 11.40 and 11.41, see pages 560561.

Question 11.35

11.35 A simpler model.

CASE 11.2 In the multiple regression analysis using all three variables, opening-weekend theater count, Theaters, appears to be the least helpful (given that the other two explanatory variables are in the model). Do a new analysis using only the movie’s budget and opening-weekend revenue. Give the estimated regression equation for this analysis and compare it with the analysis using all three explanatory variables. Summarize the inference results for the coefficients. Explain carefully to someone who knows no statistics why the conclusions about budget here and in Figure 11.11 differ.

11.35

. The slope for Budget changed from 0.236 to 0.289, while the slope for Opening changed from 2.110 to 2.264. Additionally, Budget is now significant at the 5% level where it wasn’t before; Opening is still very significant. Conclusions of inference in multiple regression for any explanatory variable depends on what other variables are in the model. In the first model, Budget is interpreted as having Opening and Theaters in the model; once Theaters is removed, the analysis and possible interpretation of Budget will likely change.

movies