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Consider the regression model How can the incremental sum-of-squares approach be used to test the hypothesis that the two population slopes are equal to each
Consider the regression model
How can the incremental sum-of-squares approach be used to test the hypothesis that the two population slopes are equal to each other,
Hint: Under Ho, the model becomes
=
Under what circumstances would a hypothesis of this form be meaningful? (Hint: Consider the units of measurement of x1 and x2).
Now test the hypothesis that the "population" regression coefficients for education and income in Duncan's occupational prestige regression are equal to each other. Is this test sensible?
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