The owner of a movie theater company used multipie regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x). The estimated regression equation was ý - 82.3 + 2.25x, + 1.90x,. The computer solution, based on a sample of eight weeks, provided SST - 25.1 and SSR - 23.415. (a) Compute and interpret R and R,. (Round your answers to three decimal places.) The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is regression equation is Adjusting for the number of independent vaniables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple (b) When television advertising was the only independent variable, R = 0.653 and R,= 0.595. Do you prefer the multiple regression results? Explain. Multiple regression analysis -Selectv preferred since both R and R. show Select v percentage of the variability of y explained when both independent variables are used.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x,). The estimated regression equation was
ŷ = 82.3 + 2.29x, + 1.90x2.
The computer solution, based on a sample of eight weeks, provided SST = 25.1 and SSR = 23.415.
(a) Compute and interpret R and R 2. (Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is
1. Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple
regression equation is
(b) When television advertising was the only independent variable, R2 = 0.653 and R,2 = 0.595. Do you prefer the multiple regression results? Explain.
Multiple regression analysis -Select-- v preferred since both R? and R.2 show -Select--
v percentage of the variability of y explained when both independent variables are used.
Transcribed Image Text:The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x,). The estimated regression equation was ŷ = 82.3 + 2.29x, + 1.90x2. The computer solution, based on a sample of eight weeks, provided SST = 25.1 and SSR = 23.415. (a) Compute and interpret R and R 2. (Round your answers to three decimal places.) The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is 1. Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is (b) When television advertising was the only independent variable, R2 = 0.653 and R,2 = 0.595. Do you prefer the multiple regression results? Explain. Multiple regression analysis -Select-- v preferred since both R? and R.2 show -Select-- v percentage of the variability of y explained when both independent variables are used.
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