The model, y = ßo + 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. ''1' M P2 P3' Find the critical value. The critical value is 7.60. (Round to two decimal places as needed.) Calculate the value of the test statistic. F = 2.80 (Round to two decimal places as needed.) ''M IP2, P3
The model, y = ßo + 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. ''1' M P2 P3' Find the critical value. The critical value is 7.60. (Round to two decimal places as needed.) Calculate the value of the test statistic. F = 2.80 (Round to two decimal places as needed.) ''M IP2, P3
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Transcribed Image Text:The model, y = Bo + B₁×₁ + ß₂×2 + 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.
''1' M P2 P3
Find the critical value.
The critical value is 7.60⁰.
(Round to two decimal places as needed.)
Calculate the value of the test statistic.
F = 2.80 (Round to two decimal places as needed.)
۔ '3 ۱۲2- ۲۱۰'۱''
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