Question

Suppose the following are the results of a linear regression with the number of hospital visits as the dependent variable, and weekly hours worked and age as the independent variables. The coefficient on weekly hours worked is 0.011 with a p-value of 0.032. The coefficient on age is 0.068 with a p-value of 0.024. What can be said about the relationship between the number of hospital visits and age?

A. Being 15 years older increases the number of hospital visits by 0.011 on average

B. Being 15 years older increases the number of hospital visits by 0.024 on average

C. Being 15 years older increases the number of hospital visits by 0.068 on average

D. Being 15 years older increases the number of hospital visits by 1.02 on average

Answer 1

Being 15 year older Increases the number of hospital visits by 0.068 on average.

(Regression model can be stated as follows.

Hospital visits= intercept+0.011 weakly hours+0.068 age

This coeeficient of any independent variable shows the change in dependent variable when dependent variable changes by one unit.

Slopes of age is 0.068. It can be interpreted as follows.

* Sign of regression coefficient is positive. So Increase in age leads to increase in number of hospital visits.

* Value of regression coefficient is 0.068 . It means that one year Increase in age ( Being 15 year older) Increases the hospital visits by 0.068 on an average.)