Multiple R-squared: F-statistic: 17.31 on 2 and 7 DF, 0.8318, Adjusted R-squared: 0.7838 p-value: 0.00195 a. Determine the estimated regression equation that can be used to predict the price of a backpack given the capacity and the comfort rating. b. Interpret the model. c. Predict the price for a backpack with a capacity of 5500 cubic inches and a comfort rating of 4.5.
Multiple R-squared: F-statistic: 17.31 on 2 and 7 DF, 0.8318, Adjusted R-squared: 0.7838 p-value: 0.00195 a. Determine the estimated regression equation that can be used to predict the price of a backpack given the capacity and the comfort rating. b. Interpret the model. c. Predict the price for a backpack with a capacity of 5500 cubic inches and a comfort rating of 4.5.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4
Designers of backpacks use exotic material to make packs that fit comfortably and distribute
weight to eliminate pressure points. For fitting a regression model of price of backpack on the
capacity (cubic inches) and comfort rating of backpacks, a data for 10 backpacks are used.
Comfort was measured using a rating from 1 to 5, with a rating of 1 denoting average comfort
and a rating of 5 denoting excellent comfort. The output of the regression model is as follows
on the next page:
Residuals:
Min
10 Median
30
Max
-84.12 -27.18
10.61
36.90
48.26
Coefficients:
Estimate Std. Error t value Pr (>[t|D
(Intercept) 356.12083
197.17401
1.806 0.113859
xl
-0.09874
0.04588
-2.152 0.068372
x2
122.86721
21.79975
5.636 0.000786 ***
Signif. codes:
O ***** 0.001 **' 0.01
'* 0.05 '.' 0.1 ''1
Multiple R-squared:
F-statistic: 17.31 on 2 and 7 DF,
Residual standard error: 51.14 on 7 degrees of freedom
Adjusted R-squared:
p-value: 0.00195
0.8318,
0.7838
Determine the estimated regression equation that can be used to predict the price of a
backpack given the capacity and the comfort rating.
b. Interpret the model.
c. Predict the price for a backpack with a capacity of 5500 cubic inches and a comfort
rating of 4.5.
d. Comment on goodness of fit of the model.
а.
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