Given below are results from the regression analysis where the dependent variabl

Question

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).

True or False: The null hypothesis H0 : 1 = 2 = 0 implies that the number of weeks a worker is unemployed due to a layoff is not affected by some of the explanatory variables.

Question 1 options:

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is related to all of the explanatory variables.

Question 2 options:

False

True or False: We can conclude that, holding constant the effect of the other independent variable, there is a difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not at a 5% level of significance if we use only the information of the 95% confidence interval estimate for the difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not.

Question 3 options:

False

True or False: 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 4 options:

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by at least one of the explanatory variables.

Question 5 options:

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by all of the explanatory variables.

Question 6 options:

True

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is related to all of the explanatory variables.

Question 2 options:

True

False

True or False: We can conclude that, holding constant the effect of the other independent variable, there is a difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not at a 5% level of significance if we use only the information of the 95% confidence interval estimate for the difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not.

Question 3 options:

True

False

True or False: 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 4 options:

True

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by at least one of the explanatory variables.

Question 5 options:

True

False

True or False: The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by all of the explanatory variables.

Question 6 options:

True False

Explanation / Answer

(1) The null hypothesis H0 : 1 = 2 = 0 implies that the number of weeks a worker is unemployed due to a layoff is not affected by some of the explanatory variables.FALSE

in multiple linear regression, the effiect of all regreesion coefficient i.e. all the explanatory variables is zero, not some of explanatory variables.

(2)The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is related to all of the explanatory variables.FALSE

atleast one of explanatory variable is related not all of the explanatory variables are related

(3)We can conclude that, holding constant the effect of the other independent variable, there is a difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not at a 5% level of significance if we use only the information of the 95% confidence interval estimate for the difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not. TRUE

alpha% level of significance is equivalent of (100-alpha)% confidence level

(4)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.FALSE

(5)The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by at least one of the explanatory variables.TRUE

(6)The alternative hypothesis H1 : At least one of j 0 for j = 1, 2 implies that the number of weeks a worker is unemployed due to a layoff is affected by all of the explanatory variables.FALSE

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