In this regression, which test statistic would you use to test the null hypothesis that the regression function is linear against the alternative that it is cubic? If the value of that statistic is 37.7 with associated p-value 0.0001, what would your conclusion be?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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 In this regression, which test statistic would you use to test the null
hypothesis that the regression function is linear against the alternative
that it is cubic? If the value of that statistic is 37.7 with associated
p-value 0.0001, what would your conclusion be?

The estimated cubic regression function relating income to test scores is
Test Score = 600.1+5.02Income - 0.096Income² +0.00069Income³.
(5.1) (0.71)
(0.029)
(0.00035)
Transcribed Image Text:The estimated cubic regression function relating income to test scores is Test Score = 600.1+5.02Income - 0.096Income² +0.00069Income³. (5.1) (0.71) (0.029) (0.00035)
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