Question: Using the following ANOVA table based on data in Problem 6 of Chapter 8 about the regression relationship of respiratory cancer mortality rates (Y) to
Using the following ANOVA table based on data in Problem 6 of Chapter 8 about the regression relationship of respiratory cancer mortality rates (Y) to air pollution index (X1), mean age (X2), and percentage of workforce employed in a certain industry (X3), test the following hypotheses:
a. H0: pYX2|X1 = 0
b. H0: PYX3|X1,X2 = 0
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c. H0: “The addition of X2 and X3 to a model already containing X1 does not significantly improve the prediction of Y.”
d. Based on these results, which variables are important predictors of Y? Use α = .05.
e. State the results in part (a) in terms of equivalent tests about population semipartial correlations.
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a H 0 YX2 X1 0 H A YX2 X1 0 1 20 df 0025 P 005 At 005 we reject H 0 and conclude that X 2 add... View full answer
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