Problem 2. An educator examined the relationship between the number of hours devoted to reading each week (Y) and the independent variables social class (X1), number of years of school completed (X2), and reading speed (X3), in pages read per hour. The following ANOVA table was obtained from a stepwise regression analysis on data for a sample of 19 women over 60. Source Regression (X3) d.f. SS 1 1,058.628 Regression (X2|X3) 1 183.743 Regression (X1 X2, X3) Residual 1 37.982 15 363.300 a. Test for the significance of each independent variable as it enters the model. Note as given in the above table, the order of the variables entering the model would be X3, X2, X1. b. Test Ho B₁ = B2 = 0 in the model Y = Bo+ B₁X1 + B2X2+ B3X3+ E. c. Why can't we test Ho B₁ = ẞ3 = 0 by using the given ANOVA table? : d. Based on your results in parts (a) and (b), what is the best model to use?
Problem 2. An educator examined the relationship between the number of hours devoted to reading each week (Y) and the independent variables social class (X1), number of years of school completed (X2), and reading speed (X3), in pages read per hour. The following ANOVA table was obtained from a stepwise regression analysis on data for a sample of 19 women over 60. Source Regression (X3) d.f. SS 1 1,058.628 Regression (X2|X3) 1 183.743 Regression (X1 X2, X3) Residual 1 37.982 15 363.300 a. Test for the significance of each independent variable as it enters the model. Note as given in the above table, the order of the variables entering the model would be X3, X2, X1. b. Test Ho B₁ = B2 = 0 in the model Y = Bo+ B₁X1 + B2X2+ B3X3+ E. c. Why can't we test Ho B₁ = ẞ3 = 0 by using the given ANOVA table? : d. Based on your results in parts (a) and (b), what is the best model to use?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
Question
Not use ai please

Transcribed Image Text:Problem 2. An educator examined the relationship between the number of
hours devoted to reading each week (Y) and the independent variables social class
(X1), number of years of school completed (X2), and reading speed (X3), in pages
read per hour. The following ANOVA table was obtained from a stepwise regression
analysis on data for a sample of 19 women over 60.
Source
Regression (X3)
d.f.
SS
1
1,058.628
Regression (X2|X3)
1
183.743
Regression (X1 X2, X3)
Residual
1
37.982
15
363.300
a. Test for the significance of each independent variable as it enters the model.
Note as given in the above table, the order of the variables entering the model would
be X3, X2, X1.
b. Test Ho B₁ = B2 = 0 in the model Y = Bo+ B₁X1 + B2X2+ B3X3+ E.
c. Why can't we test Ho B₁ = ẞ3 = 0 by using the given ANOVA table?
:
d. Based on your results in parts (a) and (b), what is the best model to use?
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