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Consider the simple model: GPA = β0 + β1ACT + u (1) where ACT are scores on tests taken when students were in high school, to assess their readiness to attend college, and GPA are students’ grade point average, once in college. Next, consider the simple model: ACT = ϒ0 + ϒ1GPA + v (2) Which of the following statements is correct? Note: reversing the regression does not result in an inversed slope estimate.
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The question presents two simple regression equations:
1) GPA = β0 + β1 ACT + u
2) ACT = γ0 + γ1 GPA + v
A key point here is that the slope from regressing GPA on ACT (β1) is not generally equal to the slope from regressing ACT on GPA (γ1). This arises from the fact that the two regressions are estimating different conditional relationships and in......Login to view full explanationLog in for full answers
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