Suppose that a kitchen cabinet warehouse company would like to be able to predict the area of a customer’s kitchen using the number of cabinets and the kitchen ceiling height. To do so data is collected on the following variables from a random sample of customers:  Area – area of the kitchen in square feet  Height – ceiling height in the kitchen (from floor to ceiling) in inches  Cabinets – number of cabinets in the kitchen  Suppose that a multiple linear regression model was fit to the data and that the following output resulted: Coefficients:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Suppose that a kitchen cabinet warehouse company would like to be able to predict the area of a customer’s kitchen using the number of cabinets and the kitchen ceiling height. To do so data is collected on the following variables from a random sample of customers: 

Area – area of the kitchen in square feet 

Height – ceiling height in the kitchen (from floor to ceiling) in inches 

Cabinets – number of cabinets in the kitchen 

Suppose that a multiple linear regression model was fit to the data and that the following output resulted:

Coefficients:

(Intercept)
Height
Cabinets
Estimate
-57.9877
1.276
0.3393
Std. Error
8.6382
0.2643
0.1302
t value
 -6.713
4.828
2.607
Pr(>|t|)
2.75e-07
4.44e-05
0.0145

What is the predicted area of a kitchen with a height of 96 inches and 10 cabinets? Report your answer to 1 decimal place.  

 square feet 

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