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The relationship between hours of exercise per week and GPA has a parabolic shape. That is,...

The relationship between hours of exercise per week and GPA has a parabolic shape. That is, increasing exercise first increases GPA, but then, at a certain point, GPA tends to decrease. The variability is roughly the same for all levels of exercise, and responses are independent. Would regression be appropriate?

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no, because the relationship is not linear

no, because the slope and the intercept are unknown

no, because it is not a designed experiment

yes, if GPA is Normally distributed with the same standard deviation at each weight

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Answer #1

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a. no, because the relationship is not linear

what we have to understand that the parabolic relation is a polynomial relation of the degree 2

So, in order to use linear relation we have conduct variable transformation on either the predictor variable or the dependent variable to go ahead with linear regression.

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