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 10 Question 10 This is not a form; we suggest that you use the browse mode and read all parts of the question carefully. Which of the following is the correct interpretation of the coefficient for Cabinets? For a kitchen with a given ceiling height, the average number of cabinets in that kitchen is estimated to increase by 0.3393 for every additional one square inch in the area of the kitchen. For each additional cabinet in a customer’s kitchen, the mean area of the kitchen increases by 0.3393. For a kitchen with a given ceiling height, for each additional cabinet in a customer’s kitchen, the estimated increase in the mean area of the kitchen is 0.3393 square feet.
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 |
10
Question 10
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Which of the following is the correct interpretation of the coefficient for Cabinets?
For a kitchen with a given ceiling height, the average number of cabinets in that kitchen is estimated to increase by 0.3393 for every additional one square inch in the area of the kitchen.
For each additional cabinet in a customer’s kitchen, the mean area of the kitchen increases by 0.3393.
For a kitchen with a given ceiling height, for each additional cabinet in a customer’s kitchen, the estimated increase in the mean area of the kitchen is 0.3393 square feet.
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