INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
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Chapter 13.2, Problem 20E
The paper “The Effects of Split Keyboard Geometry un Upper Body Postures” (Ergonomics [2009]: 104–111) describes a study to determine the effects of several keyboard characteristics on typing speed. One of the variables considered was the front-to-back surface angle of the keyboard. Minitab output resulting from fitting the simple linear regression model with x = Surface angle (degrees) and y = Typing speed (words per minute) is given below.
![Chapter 13.2, Problem 20E, The paper The Effects of Split Keyboard Geometry un Upper Body Postures (Ergonomics [2009]: 104111)](https://content.bartleby.com/tbms-images/9781337793612/Chapter-13/images/93612-13.2-20e-question-digital_image_001.png)
- a. Assuming that the basic assumptions of the simple linear regression model are reasonably met, carry out a hypothesis test to decide if there is a useful linear relationship between x and y. (Hint: See Example 13.5.)
- b. Are the values of se and r2 consistent with the conclusion from Part (a)? Explain.
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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)HeightCabinets
Estimate-57.98771.2760.3393
Std. Error8.63820.26430.1302
t value -6.7134.8282.607
Pr(>|t|)2.75e-074.44e-050.0145
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
Chapter 13 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
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