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Ten observations were provided for a dependent variable y and two independent variables x, and ,; for these data,
SST = 15,187,7 and SSR = 14,067.5.
(a) Compute R2. (Round your answer to three decimal places.) R-
(b) Compute R,2, (Round your answer to three decimal places.) R,-[
c Does the estimated regression equation explain a large amount of the variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least S5%. Round your answer to one decimal place. [Yes v] , after adjusting for the number of independent variables in the model, we see that % of the variability in y has been accounted for
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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 (), The estimated regression equation was 9 83.7 + 2.28x, + 1.20X* The computer solution, based on a sample of eight weeks, provided SST = 25.6 and SSR = 23.335
(a)Compute and interpret 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
J - Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be
(b)when television advertising was the only independent variable, R20.653 and 2 0.595. Do you prefer the multiple regression results? Explain. Multiple regression analysis is V] preferred since both 2 and , 2 show[an increased v] percentage of the variability of y explained when both independent variables are used.
