Question

A National Bank issues MasterCard credit cards to its customers. A main factor in determining whether...

A National Bank issues MasterCard credit cards to its customers. A main factor in determining whether a credit card will be profitable to the bank is the average monthly balance that the customer will maintain on the card that will be subject to finance charges. Bank analysts wish to determine whether there is a relationship between the average monthly credit card balance and the income stated on the original credit card application form. The following sample data have been collected from existing credit card customers:

Income

$1000

Credit Balance    $100

40

3

35

14

50

11

60

2

55

1

60

9

30

24

70

0

40

13

40

1

40

20

40

3

  1. Indicate which variable is to be the independent variable and which is to be the dependent variable in the bank's analysis and indicate why.
  2. Set up a scatter-plot, and discuss what if any relationship appears to be present between two variables.
  3. Use the least-squares method to predict the average monthly credit card balance when income is $80,000.
  4. Interpret the meaning of the regression coefficients in this problem.
  5. Compute the standard error of the estimate.
  6. Compute the coefficient of determination r² and interpret its meaning in this problem.
  7. At a significance level of 0.01 can you conclude that income is a good predictor of the monthly credit card balance?
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