A study was done to determine whether the gender of the

Chapter 12, Problem 12.46

(choose chapter or problem)

A study was done to determine whether the gender of the credit card holder was an important factor in generating prot for a certain credit card company. The variables considered were income, the number of family members, and the gender of the card holder. The data are as follows: Family Prot Income Gender Members 157 181 253 158 75 202 451 146 89 357 522 78 5 177 123 251 56 453 288 104 45,000 55,000 45,800 38,000 75,000 99,750 28,000 39,000 54,350 32,500 36,750 42,500 34,250 36,750 24,500 27,500 18,000 24,500 88,750 19,750 M M M M M M M M M M F F F F F F F F F F 1 2 4 3 4 4 1 2 1 1 1 3 2 3 2 1 1 1 1 2 (a) Fit a linear regression model using the variables available. Based on the tted model, would the company prefer male or female customers? (b) Would you say that income was an important factor in explaining the variability in prot?