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)CallsDrivenCommissions ($000)CallsDriven291392,371271463,290261322,226251443,103281442,731291472,122261423,351251442,791291422,289251493,209281423,449261312,287281383,114271442,848271393,342291322,690271442,842261322,933261342,625291272,671271352,121271542,988271372,219281472,829271463,463 ### Developing a Regression Equation with Interaction TermsThe task involves developing a regression equation that includes an interaction term. Ensure that negative values are shown with a minus sign and round the answers to three decimal places.#### Regression Equation Format:`Commissions = [Coefficient for Constant] + [Coefficient for Calls] * Calls + [Coefficient for Miles] * Miles + [Coefficient for x₁x₂] * x₁x₂`#### Completing the Table:Complete the table by filling in the coefficients, standard errors, t-values, and p-values for each predictor. The table columns are required to be rounded to three decimal places, and negative amounts should be indicated by a minus sign.| Predictor | Coefficient | SE Coefficient | t | p-value ||-----------|-------------|----------------|-----|---------|| Constant | | | | || Calls | | | | || Miles | | | | || x₁x₂ | | | | |#### Computing the Test Statistic:Calculate the value of the test statistic corresponding to the interaction term. The value should be rounded to two decimal places, with negative amounts indicated by a minus sign.- **Value of the test statistic**: [Value]This exercise helps in understanding how to integrate interaction terms into regression models and interpret their statistical significance.

Given information: The data represents the values of the dependent variable y = Amount earned in…

Answered: Cincinnati Paint Company sells quality…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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