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Variable Y represents the profit (in thousands of dollars) of an indoor heating repairs firm in a small town , over four consecutive months. The variable X represents the average outside temperature for the month, and the variable Z represents the average number of daily customer compliments (positive) or complaints (negative). For a month in which X is positive there were more compliments than complaints but for a month in which Z is negative there were more complaints than compliments. Using the information about the variables Determine the equation of the line of regression for Y on X and Z. Use your answer to predict the expected profit of the firm in a month where the average outside temperature was -2 and the average number of daily customer compliments was 3. i. i. Heating repairs data Month November -5 5 11 December January February -4 4 11 -1 2 -3

Variable Y represents the profit (in thousands of dollars) of an indoor heating repairs firm in a small town , over four consecutive months. The variable X represents the average outside temperature for the month, and the variable Z represents the average number of daily customer compliments (positive) or complaints (negative). For a month in which X is positive there were more compliments than complaints but for a month in which Z is negative there were more complaints than compliments. Using the information about the variables Determine the equation of the line of regression for Y on X and Z. Use your answer to predict the expected profit of the firm in a month where the average outside temperature was -2 and the average number of daily customer compliments was 3. i. i. Heating repairs data Month November -5 5 11 December January February -4 4 11 -1 2 -3

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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Variable Y represents the profit (in thousands of dollars) of an indoor heating repairs firm in a small town , over four consecutive months. The variable X represents the average outside temperature for the month, and the variable Z represents the average number of daily customer compliments (positive) or complaints (negative). For a month in which X is positive there were more compliments than complaints but for a month in which Z is negative there were more complaints than compliments. Using the information about the variables i. Determine the equation of the line of regression for Y on X and Z. Use your answer to predict the expected profit of the firm in a month where the average ii. outside temperature was -2 and the average number of daily customer compliments was 3. Heating repairs data Month X Y November -5 11 December -4 4 11 January February -1 8. -3 2
Transcribed Image Text:Variable Y represents the profit (in thousands of dollars) of an indoor heating repairs firm in a small town , over four consecutive months. The variable X represents the average outside temperature for the month, and the variable Z represents the average number of daily customer compliments (positive) or complaints (negative). For a month in which X is positive there were more compliments than complaints but for a month in which Z is negative there were more complaints than compliments. Using the information about the variables i. Determine the equation of the line of regression for Y on X and Z. Use your answer to predict the expected profit of the firm in a month where the average ii. outside temperature was -2 and the average number of daily customer compliments was 3. Heating repairs data Month X Y November -5 11 December -4 4 11 January February -1 8. -3 2
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