SCENARIO 14-17 Given below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy)and the independent variables are the age of the worker (Age)and a dummy variable for management position (Manager: 1 = yes, 0 = no). The results of the regression analysis are given below:
-Referring to Scenario 14-17, we can conclude definitively that, holding constant the effect of the other independent variable, age has no impact on the mean number of weeks a worker is unemployed due to a layoff at a 1% level of significance if all we have is the information of the 95% confidence interval estimate for the effect of a one year increase in age on the mean number of weeks a worker is unemployed due to a layoff.

Question

SCENARIO 14-17 Given below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy)and the independent variables are the age of the worker (Age)and a dummy variable for management position (Manager: 1 = yes, 0 = no). The results of the regression analysis are given below: 
-Referring to Scenario 14-17, we can conclude definitively that, holding constant the effect of the other independent variable, age has no impact on the mean number of weeks a worker is unemployed due to a layoff at a 1% level of significance if all we have is the information of the 95% confidence interval estimate for the effect of a one year increase in age on the mean number of weeks a worker is unemployed due to a layoff.

Quizplus · Accepted Answer

The statement is not true as the confidence interval estimate may include zero, indicating that age may still have an impact on the mean number of weeks of unemployment due to a layoff. To definitively conclude that age has no impact, the p-value for the coefficient of the Age variable should be less than the significance level. The question cannot be definitively answered based on the information given. We would need to examine the p-value for the coefficient estimate of Age in the regression analysis to determine its significance at the 1% level.

SCENARIO 14-17 Given Below Are Results from the Regression Analysis