The model, y = Bo + B₁x₁ + B₂X₂ + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the weekly income in hundreds of dollars, X₁, and the family size, x2. The total sum of squares and regression sum of squares were found to be, SST = 162.1 and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = -0.022, b₁ = 0.051, and b₂ = 1.19. A third independent variable number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the household does not affect milk consumption. Use α = 0.01. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. Choose the correct null and alternative hypotheses below. A. Ho: B301 B₁, B₂ #0 H₁: B3 01 B₁, B₂ 0 OC. Ho: B₁ H₁: B₁ B₂ =B3 = 0 B₂ B3 0 Find the critical value. The critical value is (Round to two decimal places as needed.) OB. Ho: B3 #01 B₁, B₂ #0 H₁: B3 =0|B₁, B₂ #0 OD. Ho: B₁ = 0 | B₂, B3 #0 H₁: B₁0 B₂, B3 #0
The model, y = Bo + B₁x₁ + B₂X₂ + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the weekly income in hundreds of dollars, X₁, and the family size, x2. The total sum of squares and regression sum of squares were found to be, SST = 162.1 and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = -0.022, b₁ = 0.051, and b₂ = 1.19. A third independent variable number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the household does not affect milk consumption. Use α = 0.01. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. Choose the correct null and alternative hypotheses below. A. Ho: B301 B₁, B₂ #0 H₁: B3 01 B₁, B₂ 0 OC. Ho: B₁ H₁: B₁ B₂ =B3 = 0 B₂ B3 0 Find the critical value. The critical value is (Round to two decimal places as needed.) OB. Ho: B3 #01 B₁, B₂ #0 H₁: B3 =0|B₁, B₂ #0 OD. Ho: B₁ = 0 | B₂, B3 #0 H₁: B₁0 B₂, B3 #0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The model, y = = Bo + B₁×₁ + B₂×₂ + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the
weekly income in hundreds of dollars, X₁, and the family size, x2. The total sum of squares and regression sum of squares were found to be, SST = 162.1
and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = −0.022, b₁ = 0.051, and b₂ = 1.19. A third independent
variable number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was
estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the
household does not affect milk consumption. Use α = 0.01.
Click here to view page 1 of a table of critical values of F.
Click here to view page 2 of a table of critical values of F.
Choose the correct null and alternative hypotheses below.
A. Ho: B3 = 0 | B₁, B₂ #0
H₁: B3 #0 | B₁, B₂ #0
=
C. Ho: B₁ B₂ B3 = 0
H₁: B₁ B₂ B3 0
Find the critical value.
The critical value is
(Round to two decimal places as needed.)
B. Ho: B3 #0 | B₁, B₂ ‡ 0
H₁: B3 = 0 | B₁, B₂ #0
O D. Ho: B₁ = 0 | B₂, B3 #0
H₁: B₁ #0 | B₂, B3 #0
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