Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function: Ŷ = 33 + 8X1 − 6X2 + 16X3 + 18X4 For this model, there were 35 observations; SSR = 1,544 and SSE = 600. Assume a 0.01 significance level. Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model? Multiple Choice Reject the null hypothesis that β3 = 0. Do not reject the null hypothesis that β1 = β2 = β3 = β4 = 0. Reject the null hypothesis that β1 = 0. Reject the null hypothesis that β1 = β2 = β3 = β4 = 0.
Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function: Ŷ = 33 + 8X1 − 6X2 + 16X3 + 18X4 For this model, there were 35 observations; SSR = 1,544 and SSE = 600. Assume a 0.01 significance level. Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model? Multiple Choice Reject the null hypothesis that β3 = 0. Do not reject the null hypothesis that β1 = β2 = β3 = β4 = 0. Reject the null hypothesis that β1 = 0. Reject the null hypothesis that β1 = β2 = β3 = β4 = 0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question
Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function:
Ŷ = 33 + 8X1 − 6X2 + 16X3 + 18X4
For this model, there were 35 observations; SSR = 1,544 and SSE = 600. Assume a 0.01 significance level.
Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model?
Multiple Choice
-
Reject the null hypothesis that β3 = 0.
-
Do not reject the null hypothesis that β1 = β2 = β3 = β4 = 0.
-
Reject the null hypothesis that β1 = 0.
-
Reject the null hypothesis that β1 = β2 = β3 = β4 = 0.
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