Suppose that a multiple linear regression model was fit to data and that the following output resulted: Coefficients: (Intercept) stop distance mpg weight Estimate 8.63315 -0.06078  -0.03793 0.17295 Std. Error 5.91641 0.07368 0.08661 0.08165 t value 1.459 -0.825  -0.438  2.118 Pr(>|t|) 0.1482 0.4117 0.6626 0.0371 True or False? It is likely that at least one explanatory variable would be left in our model if a backwards selection process were performed. (Our significance level is 0.05 for all testing purposes.)  True False

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Suppose that a multiple linear regression model was fit to data and that the following output resulted:

Coefficients:

(Intercept)
stop distance
mpg
weight
Estimate
8.63315
-0.06078
 -0.03793
0.17295
Std. Error
5.91641
0.07368
0.08661
0.08165
t value
1.459
-0.825
 -0.438
 2.118
Pr(>|t|)
0.1482
0.4117
0.6626
0.0371

True or False? It is likely that at least one explanatory variable would be left in our model if a backwards selection process were performed. (Our significance level is 0.05 for all testing purposes.) 

True

False

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