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

question 359

Multiple Choice

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) On average, a worker who is a year older is estimated to stay jobless longer by approximately 32.66 weeks while holding constant the effects of all the remaining Independent variables.
• B) On average, a worker who is a year older is estimated to stay jobless longer by approximately 1.29 weeks while holding constant the effects of all the remaining Independent variables.
• C) On average, a worker who is a year older is estimated to stay jobless shorter by approximately 1.35 weeks while holding constant the effects of all the remaining Independent variables.
• D) On average, a worker who is a year older is estimated to stay jobless longer by approximately 0.62 weeks while holding constant the effects of all the remaining Independent variables.

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Definitions:

Chi-square Distribution

A probability distribution that describes the distribution of the sum of squared standard normal deviates.

Normal Population

A Normal Population is a statistical population where the data follows a normal distribution, characterized by a symmetric bell-shaped curve.

Degrees of Freedom

The quantity of distinct values or measures that are able to change in a study without violating any limitations.

F Distribution

A probability distribution that arises frequently as the null distribution of a test statistic, especially in variance analysis.