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 nec

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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ch 13. 5:

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 (x1)
  • The number of sales calls made last month (x2)

 
The information is reported below.

 

Commissions ($000) Calls Driven Commissions ($000) Calls Driven
29 139 2,371 27 146 3,290
26 132 2,226 25 144 3,103
28 144 2,731 29 147 2,122
26 142 3,351 25 144 2,791
29 142 2,289 25 149 3,209
28 142 3,449 26 131 2,287
28 138 3,114 27 144 2,848
27 139 3,342 29 132 2,690
27 144 2,842 26 132 2,933
26 134 2,625 29 127 2,671
27 135 2,121 27 154 2,988
27 137 2,219 28 147 2,829
27 146 3,463      

 

 

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.)
Predictor
Coefficient
SE 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: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.) Predictor Coefficient SE 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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