SCENARIO 17-10 Given Below Are Results from the Regression Analysis $1 =$

SCENARIO 17-10 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) , the number of years of education received (Edu) , the number of years at the previous job (Job Yr) , a dummy variable for marital status (Married: $1 =$ married, $0 =$ otherwise) , a dummy variable for head of household (Head: $1 =$ yes, $0 =$ no) and a dummy variable for management position (Manager: $1 =$ yes, $0 =$ no) . We shall call this Model 1. The coefficient of partial determination ( $R _ { \mathrm { y } } ^ { 2 }$ (All raiables excopt $j$ ) ) of each of the 6 predictors are, respectively, $0.2807$ , $0.0386,0.0317,0.0141,0.0958$ , and $0.1201$ .

$\begin{array}{lr}\hline{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7035 \\\text { R Square } & 0.4949 \\\text { Adjusted R } & 0.4030 \\\text { Square } & \\\text { Standard } & 18.4861 \\\text { Error } & \\\text { Observations } & 40 \\\hline\end{array}$
$\text { ANOVA }$



$$\begin{array}{l}\begin{array} { l r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 32.6595 & 23.18302 & 1.4088 & 0.1683 & - 14.5067 & 79.8257 \\\text { Age } & 1.2915 & 0.3599 & 3.5883 & 0.0011 & 0.5592 & 2.0238 \\\text { Edu } & - 1.3537 & 1.1766 & - 1.1504 & 0.2582 & - 3.7476 & 1.0402 \\\text { Job Yr } & 0.6171 & 0.5940 & 1.0389 & 0.3064 & - 0.5914 & 1.8257 \\\text { Married } & - 5.2189 & 7.6068 & - 0.6861 & 0.4974 & - 20.6950 & 10.2571 \\\text { Head } & - 14.2978 & 7.6479 & - 1.8695 & 0.0704 & - 29.8575 & 1.2618 \\\text { Manager } & - 24.8203 & 11.6932 & - 2.1226 & 0.0414 & - 48.6102 & - 1.0303 \\\hline\end{array}\end{array}$$
-Referring to Scenario 17-10 Model 1, which of the following is a correct statement?

A) 49.49% of the total variation in the number of weeks a worker is unemployed due to a layoff can be explained by the age of the worker, the number of years of education
Received, the number of years at the previous job, marital status, whether the worker is
The head of household and whether the worker is a manager.
B) 49.49% of the total variation in the number of weeks a worker is unemployed due to a layoff can be explained by the age of the worker, the number of years of education
Received, the number of years at the previous job, marital status, whether the worker is
The head of household and whether the worker is a manager after adjusting for the
Number of predictors and sample size.
C) 49.49% of the total variation in the number of weeks a worker is unemployed due to a layoff can be explained by the age of the worker, the number of years of education
Received, the number of years at the previous job, marital status, whether the worker is
The head of household and whether the worker is a manager after adjusting for the level of
Significance
D) 49.49% of the total variation in the number of weeks a worker is unemployed due to a layoff can be explained by the age of the worker, the number of years of education
Received, the number of years at the previous job, marital status, whether the worker is
The head of household and whether the worker is a manager holding constant the effect of
All the independent variables.

Correct Answer:

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