Question

4.44 Shopping on Black Friday. The International Journal of Retail and Distribution Management (Vol. 39, 2011) published a study of shopping on Black Friday (the day after Thanksgiving). 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 next table (p. 211).

1. Fit the quadratic model, E(y)=β0+β1x+β2x2, to the data using statistical software. Give the prediction equation.

2. Conduct a test of the overall adequacy of the model. Use α = .01.

3. 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 α = .01.

Answer 1

Answer:

a)

b)

c)