Dex Research Limited conducted a research to investigate consumer characteristics that can be used to predict the amount charged by credit card users. The following multiple regression output is based on a data collected by this research company on annual income, household size and annual credit card charges for a sample if 50 consumers. Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.9086 0.8181 398.0910 ANOVA Significance F 1.50876E-18 df SS MS F Regression 2 D E Residual 7448393.148 Total 49 42699148.82 Coefficients Standard Error 1304.9048 t Stat P-value Intercept Income ($1000s) Household Size 197.6548 6.6019 3.28664E-08 33.1330 3.9679 7.68206E-11 356.2959 33.2009 10.7315 3.12342E-14 (4 marks) b. Estimate the annual credit card charges for a three-person household with an annual income (2 marks) (1 mark) a. Complete the missing entries from A to H in this output of $40,000. c. Did the estimated regression equation provide a good fit to the data? Explain

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Question 5: Week 11 Question 3, (7 Marks)
Dex Research Limited conducted a research to investigate consumer characteristics that can be used to
predict the amount charged by credit card users. The following multiple regression output is based on a
data collected by this research company on annual income, household size and annual credit card
charges for a sample if 50 consumers.
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
0.9086
A
0.8181
398.0910
ANOVA
df
Significance F
MS
F
Regression
2
D
E
G.
1.50876E-18
Residual
7448393.148
Total
49
42699148.82
Coefficients Standard Error
t Stat
P-value
Intercept
1304.9048
197.6548
6.6019
3.28664E-08
Income ($1000s)
33.1330
3.9679
7.68206E-11
Household Size
356.2959
33.2009
10.7315
3.12342E-14
(4 marks)
a. Complete the missing entries from A to H in this output
b. Estimate the annual credit card charges for a three-person household with an annual income
of $40,000.
(2 marks)
(1 mark)
C.
Did the estimated regression equation provide a good fit to the data? Explain
Transcribed Image Text:Question 5: Week 11 Question 3, (7 Marks) Dex Research Limited conducted a research to investigate consumer characteristics that can be used to predict the amount charged by credit card users. The following multiple regression output is based on a data collected by this research company on annual income, household size and annual credit card charges for a sample if 50 consumers. Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.9086 A 0.8181 398.0910 ANOVA df Significance F MS F Regression 2 D E G. 1.50876E-18 Residual 7448393.148 Total 49 42699148.82 Coefficients Standard Error t Stat P-value Intercept 1304.9048 197.6548 6.6019 3.28664E-08 Income ($1000s) 33.1330 3.9679 7.68206E-11 Household Size 356.2959 33.2009 10.7315 3.12342E-14 (4 marks) a. Complete the missing entries from A to H in this output b. Estimate the annual credit card charges for a three-person household with an annual income of $40,000. (2 marks) (1 mark) C. Did the estimated regression equation provide a good fit to the data? Explain
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