Statistics Question (Regression):

A health psychologist investigated the relationship between a college student's optimistic/pessimistic view of life (our X variable) and the frequency of physical symptoms (e.g., headaches, joint pain, nausea; our Y variable). The researcher found a correlation of r = .59 between scores of a pessimism scale and physical symptoms for 33 college students. The summary statistics are as follows:

M_X= 6.97

M_Y= 37.73

SP = (X - M_X)(Y - M_Y) = 54,606

SS_X= (X - M_X)²= 14,552

a.Calculate the regression equationto predict symptom frequency from the pessimism scale.

b.Erin scored 10 on the pessimism scale. What would be ourprediction for her symptoms score?

c.Julie scores a 7 on the pessimism scale. What would be ourprediction for her symptoms score?

d.Calculate r², the coefficient of determination, and specify what this means in terms of predicting physical symptoms from scores on a pessimism scale.