2) Suppose an economist wants to compare the mean dollar amounts owed by delinquent credit card customers in three different socioeconomic classes (1) Lower Class (2) Middle Class and (3) Upper Class. A sample of 10 customers with delinquent accounts is selected from each group, and the amount owed by each is recorded, as shown below in the table Dollars Owed Group 2 (middle class) $ 513 Group 1 (lower class) Group 3 (upper class) $ 148 $ 335 76 264 643 393 433 216 520 94 536 236 535 128 134 327 723 55 214 258 166 135 380 415 280 594 153 304 465 i) Hypothesize a regression model for amount owed (y) using socioeconomic class as an independent variable. ii) Interpret the B's in the model. Fit the model to the data and give the least squares prediction iii) equation. iv) Use the model to determine if the mean dollar amounts owed by customers differ significantly for the three socioeconomic groups at a = 0.5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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2) Suppose an economist wants to compare the mean dollar amounts owed
by delinquent credit card customers in three different socioeconomic
classes (1) Lower Class (2) Middle Class and (3) Upper Class.
of 10 customers with delinquent accounts is selected from each group,
and the amount owed by each is recorded, as shown below in the table
sample
Dollars Owed
Group 1 (lower class)
Group 2 (middle
class)
$ 513
Group 3 (upper class)
$ 335
643
$ 148
76
264
393
433
216
520
94
536
236
535
128
134
327
723
55
214
258
166
135
380
415
280
594
153
304
465
i)
Hypothesize a regression model for amount owed (y) using
socioeconomic class as an independent variable.
ii)
Interpret the B's in the model.
Fit the model to the data and give the least squares prediction
iii)
equation.
iv)
Use the model to determine if the mean dollar amounts owed by
customers differ significantly for the three socioeconomic groups
at a = 0.5.
Transcribed Image Text:2) Suppose an economist wants to compare the mean dollar amounts owed by delinquent credit card customers in three different socioeconomic classes (1) Lower Class (2) Middle Class and (3) Upper Class. of 10 customers with delinquent accounts is selected from each group, and the amount owed by each is recorded, as shown below in the table sample Dollars Owed Group 1 (lower class) Group 2 (middle class) $ 513 Group 3 (upper class) $ 335 643 $ 148 76 264 393 433 216 520 94 536 236 535 128 134 327 723 55 214 258 166 135 380 415 280 594 153 304 465 i) Hypothesize a regression model for amount owed (y) using socioeconomic class as an independent variable. ii) Interpret the B's in the model. Fit the model to the data and give the least squares prediction iii) equation. iv) Use the model to determine if the mean dollar amounts owed by customers differ significantly for the three socioeconomic groups at a = 0.5.
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