Question 6: Now run the following multivariate regression equation: mathscoreegt

Question

Question 6: Now run the following multivariate regression equation: mathscoreegt = Ao + A averageclasssizesgt + Aaverageclasss12e2sgt + 3enrollsgt + usgt , where averageclasssize.gt(averageclasssize.g.)2 Part (a): What is the expected change in math test scores that a school-grade should expect if it holds enrollment constant but increases its average class size from 20 to 21? Part (b): Wil this be the same expected change if a school-grade holds enrollment constant but increases its average class size from 30 to 31? Why or why not? (one or two sentences)

Explanation / Answer

a) Maths score should change by (21-20) B1 + (21^2-20^2) B2 or B1+ 41 B2

b) No, the change is not expected to be the same as it is a quadratic relationship and not linear relationship

Change = (31-30)B1+ (31^2-30^2) B2 = B1+61B2

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