Shopping on Black Friday. Refer to the International Journal of Retail and Distribution Management (Vol. 39, 2011) study of shopping on Black Friday (the day after Thanksgiving), Exercise 7.22 (p. 353). Recall that researchers conducted interviews with a sample of 38 women shopping on Black Friday to gauge their shopping habits. Two of the variables measured for each shopper were age (x) and number of years shopping on Black Friday (y). Data on these two variables for the 38 shoppers are listed in the accompanying table.

a. Fit the quadratic model, E1y2 = b0 + b1x + b2x2, to the data using statistical software. Give the prediction equation.

b. Conduct a test of the overall adequacy of the model.

Use a = .01.

c. Conduct a test to determine if the relationship between age (x) and number of years shopping on Black Friday

(y) is best represented by a linear or quadratic function.

Use a = .01.

Age Years Age Years 32 5 21 5 27 3 52 10 40 12 40 18 62 35 38 5 47 20 56 8 53 30 60 5 24 8 35 15 27 2 50 25 47 24 56 10 40 25 20 2 45 11 20 4 22 11 21 4 25 5 22 5 60 35 50 10 22 3 30 6 50 15 28 16 70 22 25 7 50 10 30 6 21 6 49 30