A regression analysis was performed to determine which, if any, of the following

Question

A regression analysis was performed to determine which, if any, of the following variables are associated with calories in a sample of

3737

breakfast cereals: sugars (grams), sodium (mg), and potassium (mg). Here is some of the output.

Response variable is calories

Variable

p-value from t-test

constant

0.38

sodium

0.001

potassium

0.24

sugars

0.025

Which of the explanatory variables would be removed first in a backwards selection process? (Ignore any problems similar to this in answering this question.)

A.

potassium

B.

constant term

C.

sodium

D.

more than one would be eliminated

E.

sugars

F.

none of the them would be eliminated

Variable

p-value from t-test

constant

0.38

sodium

0.001

potassium

0.24

sugars

0.025

Explanation / Answer

As we know if pvalue is less than alpha we reject the null hypothesis which means there is association between the variables.

Hence the explanatory variable which have largest p value should be removed first because for that variable we will not reject null hypothesis which means no association.

Hence here we see that potassium is having highest p value out of 3 explanatory variable so it should be removed first.

Answer is A. Potassium

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