Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined: The amount earned in commissions last month (y) The number of miles driven last month (x) The number of sales calls made last month (x) The information is reported below. Commissions Connissions Calls (S000) 38 Driven Calls Driven 3, 290 3,103 2,122 2,791 3,209 2,287 2,848 2,690 2,933 2,671 2,988 2,829 22 139 132 2,371 2,226 2,731 3,351 2,289 3,449 3,114 3,342 2,842 2,625 2,121 2,219 3,463 146 13 44 29 144 33 144 147 38 142 38 144 23 47 142 37 149 142 14 131 29 138 34 144 38 139 25 132 132 41 144 27 32 134 25 127 20 135 43 154 13 137 34 147 47 146 Click here for the Excel Data File Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Commissions = (365.169) 2.590 Calls 0.116 Miles + (0.001) XX2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains
a large sales force who call on existing customers and look for new business. The national sales manager is investigating the
relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales
representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the
vice president of sales selected a sample of 25 sales representatives and determined:
• The amount earned in commissions last month ()
• The number of miles driven last month (x)
• The number of sales calls made last month (x)
The information is reported below.
Commissions
(See0)
Connissions
(see0)
38
Calls
Driven
Calls
Driven
3,290
3,103
2,122
2,791
3,209
2,287
2,848
2,690
2,933
2,671
2,988
2,829
22
139
2,371
2,226
2,731
3,351
2,289
3,449
3,114
3,342
2,842
2,625
2,121
2,219
3,463
146
144
13
132
44
33
144
29
147
38
142
38
144
23
142
37
149
47
142
14
131
29
138
34
144
38
139
25
132
41
144
27
132
32
134
25
127
20
135
43
154
13
137
34
147
47
146
Click here for the Excel Data File
Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your
answers to 3 decimal places.)
Commissions=
(365.169)
2.590 Calls
0.116 Miles +
(0.001) XX2
Transcribed Image Text:Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined: • The amount earned in commissions last month () • The number of miles driven last month (x) • The number of sales calls made last month (x) The information is reported below. Commissions (See0) Connissions (see0) 38 Calls Driven Calls Driven 3,290 3,103 2,122 2,791 3,209 2,287 2,848 2,690 2,933 2,671 2,988 2,829 22 139 2,371 2,226 2,731 3,351 2,289 3,449 3,114 3,342 2,842 2,625 2,121 2,219 3,463 146 144 13 132 44 33 144 29 147 38 142 38 144 23 142 37 149 47 142 14 131 29 138 34 144 38 139 25 132 41 144 27 132 32 134 25 127 20 135 43 154 13 137 34 147 47 146 Click here for the Excel Data File Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Commissions= (365.169) 2.590 Calls 0.116 Miles + (0.001) XX2
At the 0.05 significance level, is there a significant interaction between the number of sales calls and the miles driven?
This i
not significant
so we nonclude that there is
no interaction
Transcribed Image Text:At the 0.05 significance level, is there a significant interaction between the number of sales calls and the miles driven? This i not significant so we nonclude that there is no interaction
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