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In exercise $5,$ the owner of Showtime Movie Theaters, Inc. used multiple regression analy-sis to predict gross revenue $(y)$ as a function of television advertising $\left(x_{1}\right)$ and newspaperadvertising $\left(x_{2}\right) .$ The estimated regression equation was$$\hat{y}=83.2+2.29 x_{1}+1.30 x_{2}$$$\begin{array}{l}{\text { a. What is the gross revenue expected for a week when } \$ 3500 \text { is spent on television }} \\ {\text { advertising }\left(x_{1}=3.5\right) \text { and } \$ 1800 \text { is spent on newspaper advertising }\left(x_{2}=1.8\right) ?} \\ {\text { b. Provide a } 95 \% \text { prediction interval for next week's revenue, assuming that the adver- }} \\ {\text { tising expenditures will be allocated as in part (a). }}\end{array}$

a) 93.555b) 95$\%$ confidence interval for the mean revenue of all weeks with the expenditures as in part (a) as given by the MINITAB output is: $(92.840,94.335)$c) 95$\%$ prediction interval for next week's revenue with the expenditures as in part (a) as given by the MINITAB output is: $(91.774,95.401)$

Intro Stats / AP Statistics

Chapter 13

Multiple Regression

Descriptive Statistics

Linear Regression and Correlation

Temple University

Missouri State University

Cairn University

Lectures

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