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To understand the role of quality and price in influencing the patronage of shoe shops, 14 major shoe shops in a large city were rated in terms of preference to shop, quality of shoes sold and price fairness. All the ratings were obtained on an 11-point scale, with higher numbers indicating more positive ratings.

a Run a multiple regression analysis explaining shoe shop preference in terms of shoe quality and price fairness.

b Interpret the partial regression coefficients.

c Determine the significance of the overall regression.

d Determine the significance of the partial regression coefficients.

e Do you think that multicollinearity is a problem in this case?
Why or why not?