The polynomial regression model of degree r is given by Y₁ = B₁ + B₁X₁ + B₂X² + ... + ß₂X] + Uį. The estimated cubic regression function relating income to test scores is Test Score = 600.1+5.02Income - 0.096Income² +0.00069 Income³. (0.71) (0.029) (0.00035) (5.1) The values in parenthesis are the standard errors of coefficient esti- mates. Test the null hypothesis that the regression function is quadratic against the alternative that it is cubic.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The polynomial regression model of degree r is given by
Y₁ =B₁ + B₁X₁ + ³₂X² + ... + ß₂X{ + U₁.
The estimated cubic regression function relating income to test scores is
Test Score = 600.1+5.02 Income -0.096Income² +0.00069 Income³.
(5.1) (0.71)
(0.029)
(0.00035)
The values in parenthesis are the standard errors of coefficient esti-
mates. Test the null hypothesis that the regression function is quadratic
against the alternative that it is cubic.
Transcribed Image Text:The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + ³₂X² + ... + ß₂X{ + U₁. The estimated cubic regression function relating income to test scores is Test Score = 600.1+5.02 Income -0.096Income² +0.00069 Income³. (5.1) (0.71) (0.029) (0.00035) The values in parenthesis are the standard errors of coefficient esti- mates. Test the null hypothesis that the regression function is quadratic against the alternative that it is cubic.
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