6. Suppose a researcher used data on a group of third year students at MIT to estimate the following regression (standard errors are in the parenthesis), where termGPA is GPA for a term, and atndrte is percentage points of classes attended during the term termGPA= 0.625+0.024atndrte (0.115) (0.001) 1) If the sample mean atndrte is 82, what is the sample mean of termGPA? 2) If student A has atndrte= 84 and student B has atndrte= 68, what is the predicted difference in their termGPA? A's actual termGPA is 3.2, and B's termGPA is 2.7. Why the predicted difference is not the same as the actual difference? 3) If the sample standard deviation of atndrte is 18 and the sample standard deviation of termGPA is 0.74, what is the sample correlation between atndrte and termGPA?

Question
6. Suppose a researcher used data on a group of third year students at MIT to
estimate the following regression (standard errors are in the parenthesis), where
termGPA is GPA for a term, and atndrte is percentage points of classes attended
during the term
termGPA= 0.625+0.024atndrte
(0.115) (0.001)
1) If the sample mean atndrte is 82, what is the sample mean of termGPA?
2)
If student A has atndrte= 84 and student B has atndrte= 68, what is the predicted
difference in their termGPA? A's actual termGPA is 3.2, and B's termGPA is 2.7.
Why the predicted difference is not the same as the actual difference?
3) If the sample standard deviation of atndrte is 18 and the sample standard
deviation of termGPA is 0.74, what is the sample correlation between atndrte and
termGPA?

Image Transcription

6. Suppose a researcher used data on a group of third year students at MIT to estimate the following regression (standard errors are in the parenthesis), where termGPA is GPA for a term, and atndrte is percentage points of classes attended during the term termGPA= 0.625+0.024atndrte (0.115) (0.001) 1) If the sample mean atndrte is 82, what is the sample mean of termGPA? 2) If student A has atndrte= 84 and student B has atndrte= 68, what is the predicted difference in their termGPA? A's actual termGPA is 3.2, and B's termGPA is 2.7. Why the predicted difference is not the same as the actual difference? 3) If the sample standard deviation of atndrte is 18 and the sample standard deviation of termGPA is 0.74, what is the sample correlation between atndrte and termGPA?

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