Problem 2. An educator examined the relationship between the number ofhours 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 pagesread per hour. The following ANOVA table was obtained from a stepwise regressionanalysis on data for a sample of 19 women over 60.SourceRegression (X3)Regression (X₂|X3)Regression (X₁X2, X3)Residuald.f.11115SS1,058.628183.74337.982363.300a. 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 wouldbe X3, X2, X₁.b. Test Ho: B₁ = ₂ = 0 in the model Y = ß0 + B₁X₁ + B₂X2 + B3X3 + €.c. Why can't we test Ho: B1 = 33 = 0 by using the given ANOVA table?d. Based on your results in parts (a) and (b), what is the best model to use?

Given Information: Consider the given information in which the number of hours devoted to reading…

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) Regression (X2 X3) Regression (X₁X2, X3) Residual d.f. 1 1 1 15 SS 1,058.628 183.743 37.982 363.300 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 + €. c. Why can't we test Ho: B1 = 33 = 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) Regression (X2 X3) Regression (X₁X2, X3) Residual d.f. 1 1 1 15 SS 1,058.628 183.743 37.982 363.300 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 + €. c. Why can't we test Ho: B1 = 33 = 0 by using the given ANOVA table? d. Based on your results in parts (a) and (b), what is the best model to use?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

See similar textbooks