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A cleaning service sends crews to residential homes on either a once-a-month or

ID: 3367843 • Letter: A

Question

A cleaning service sends crews to residential homes on either a once-a-month or twice-a-month schedule, depending on the customer's preference. The owner would like to predict the amount of time (in minutes) required to clean a house based on the square footage of the house, the total number of rooms in the house, whether or not the household has children, and the frequency of the cleaning schedule. Data from randomly selected homes are given in the accompanying table. Complete parts a through d below. Click the icon to view the data table. a. Using technology, construct a regression model using all of the independent variables. (Let variable Ch be the dummy variable for the Children variable. Assign a 1 if the household has children. Also, let variable Fr be the dummy variable for the frequency. Assign a 1 to a frequency of twice-a-month.) Complete the regression equation for the model below, where y- Time (min), x1 -Square Feet, x2 - Rooms, x3 -Ch, and x4 -Fr Round to two decimal places as needed.)

Explanation / Answer

The Regression Equation is

Time (min) = 104.9 - 0.0053 Square_Feet + 4.44 Rooms + 26.17 Children_Yes  - 2.42 Frequency_Twice

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