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)

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 malntalns
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 mles 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
Connissions
(S000)
(seee)
22
Calls
Driven
Calls
Driven
64
2,371
2,226
2,731
3,353
2, 292
3,451
3,115
3,344
2,843
2,627
2,122
2,221
3,464
38
167
3,290
3,103
2,124
792,ב
3,210
2,287
2,85e
2,692
2,934
2,671
2,990
13
51
44
168
33
129
29
108
38
141
38
164
23
78
37
177
48
224
14
25
29
95
34
16e
39
169
25
81
42
188
28
83
33
126
25
85
21
53
44
194
14
56
35
137
2,832
48
176
%media:lexcel.ext% 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 =
Calls +
Miles +
Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
SE Coefficient
Predictor
Coefficient
p-value
Constant
Calls
Miles
Compute the value of the test statistic corresponding to the interaction term. (Negative amount should be indicated by a minus sign.
Round your answer to 2 decimal places.)
Value of the test statistic
Transcribed Image Text:Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company malntalns 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 mles 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 Connissions (S000) (seee) 22 Calls Driven Calls Driven 64 2,371 2,226 2,731 3,353 2, 292 3,451 3,115 3,344 2,843 2,627 2,122 2,221 3,464 38 167 3,290 3,103 2,124 792,ב 3,210 2,287 2,85e 2,692 2,934 2,671 2,990 13 51 44 168 33 129 29 108 38 141 38 164 23 78 37 177 48 224 14 25 29 95 34 16e 39 169 25 81 42 188 28 83 33 126 25 85 21 53 44 194 14 56 35 137 2,832 48 176 %media:lexcel.ext% 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 = Calls + Miles + Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) SE Coefficient Predictor Coefficient p-value Constant Calls Miles Compute the value of the test statistic corresponding to the interaction term. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic
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