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

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 52E: Investment Portfolio A total of $32,000 is invested in two municipal bonds that pay 5.75% and 6.25%...
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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. Data were collected on annual income, household size, and annual credit card charges for a sample of 50 consumers. The following data are contained in the file Consumer.

Source: Consumer Research, Inc. (https://www.bbb.org/us/ny/rochester/profile/secretshopper/consumer-research -inc-0041-45625697) Managerial Report
1. Use methods of descriptive statistics to summarize the data. Comment on the findings.
2. 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.
3. Develop an estimated regression equation with annual income and household size as the independent variables. Discuss your findings.
4. What is the predicted annual credit card charge for a three-person household with an annual income of $40,000?
5. Discuss the need for other independent variables that could be added to the model. What additional variables might be helpful?

 

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