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, the null hypothesis should be rejected at a
10% level of significance when testing whether age has any effect on the number of weeks a
worker is unemployed due to a layoff.

Question

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, the null hypothesis should be rejected at a
10% level of significance when testing whether age has any effect on the number of weeks a
worker is unemployed due to a layoff.

Quizplus · Accepted Answer

The null hypothesis should be rejected when the p-value is less than the level of significance. In this case, the p-value is 0.08, which is less than the level of significance of 0.10. Therefore, the null hypothesis should be rejected.

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

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