Consumer Research, Inc.   Consumer Research, Inc., is an independent agency that conducts research on consumer attitudes and behaviors for a variety of firms. In one study, a client asked for an investigation of consumer characteristics that can be used to predict the amount charged by credit card users. The following data were collected on annual income, household size, and annual credit card charges for a sample of 50 consumers.   Managerial Report     Use methods of descriptive statistics to summarize the Comment on the findings.     Develop estimated regression equations, first using annual income as the independent variable and then using household size as the independent variable. Which variable is the better predictor of annual credit card charges? Discuss your findings.     Develop an estimated regression equation with annual income and household size as the independent Discuss your findings.     What is the predicted annual credit card charge for a three-person household with an annual income of $40,000?     Discuss the need for other independent variables that could be added to the model. What additional variables might be helpful?

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Consumer Research, Inc.

 

Consumer Research, Inc., is an independent agency that conducts research on consumer attitudes and behaviors for a variety of firms. In one study, a client asked for an investigation of consumer characteristics that can be used to predict the amount charged by credit card users. The following data were collected on annual income, household size, and annual credit card charges for a sample of 50 consumers.

 

Managerial Report

 

 

  1. Use methods of descriptive statistics to summarize the Comment on the findings.

 

 

  1. Develop estimated regression equations, first using annual income as the independent variable and then using household size as the independent variable. Which variable is the better predictor of annual credit card charges? Discuss your findings.

 

 

  1. Develop an estimated regression equation with annual income and household size as the independent Discuss your findings.

 

 

  1. What is the predicted annual credit card charge for a three-person household with an annual income of $40,000?

 

 

  1. Discuss the need for other independent variables that could be added to the model. What additional variables might be helpful?
Income Household Amount
($1000s) Size
54
30
32
50
31
55
37
40
66
51
25
48
27
33
Income Household
($1000s) Size
65
63
42
3
2
4
5
2
2
1
2
4
3
3
4
1
2
21
44
37
62
21
55
42
41
3
4
6
2
1
5
6
3
7
2
7
Charged ($)
4016
3159
5100
4742
1864
4070
2731
3348
4764
4110
4208
4219
2477
2514
Amount
Charged ($)
4214
4965
4412
2448
2995
4171
5678
3623
5301
3020
4828
Income Household Amount
($1000s) Size
54
30
48
34
67
50
67
55
52
62
64
22
29
39
Income Household
($1000s) Size
35
39
54
23
27
26
6
1
2
5
4
2
5
6
2
3
2
3
4
2
61
30
22
46
66
1
4
3
6
2
7
2
2
4
5
4
Charged ($)
5573
2583
3866
3586
5037
3605
5345
5370
3890
4705
4157
3579
3890
2972
Amount
Charged ($)
3121
4183
3730
4127
2921
4603
4273
3067
3074
4820
5149
Transcribed Image Text:Income Household Amount ($1000s) Size 54 30 32 50 31 55 37 40 66 51 25 48 27 33 Income Household ($1000s) Size 65 63 42 3 2 4 5 2 2 1 2 4 3 3 4 1 2 21 44 37 62 21 55 42 41 3 4 6 2 1 5 6 3 7 2 7 Charged ($) 4016 3159 5100 4742 1864 4070 2731 3348 4764 4110 4208 4219 2477 2514 Amount Charged ($) 4214 4965 4412 2448 2995 4171 5678 3623 5301 3020 4828 Income Household Amount ($1000s) Size 54 30 48 34 67 50 67 55 52 62 64 22 29 39 Income Household ($1000s) Size 35 39 54 23 27 26 6 1 2 5 4 2 5 6 2 3 2 3 4 2 61 30 22 46 66 1 4 3 6 2 7 2 2 4 5 4 Charged ($) 5573 2583 3866 3586 5037 3605 5345 5370 3890 4705 4157 3579 3890 2972 Amount Charged ($) 3121 4183 3730 4127 2921 4603 4273 3067 3074 4820 5149
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