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Part $1$

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: $1$equals$$yes$,0$equals$$no$).$ The results of the regression analysis are given below.

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Which of the following is a correct$$ statement?

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Part $1$

A$.$

On$$ average, those who are in a management position are estimated to stay jobless longer by approximately $22\mathrm{.}5761$ weeks while holding constant the effects of age.

B$.$

On$$ average, those who are in a management position are estimated to stay jobless shorter by approximately $22\mathrm{.}5761$ weeks while holding constant the effects of age.

C$.$

On$$ average, those who are in a management position are estimated to stay jobless shorter by approximately $1\mathrm{.}4448$ weeks while holding constant the effects of age.

D$.$

On$$ average, those who are in a management position are estimated to stay jobless longer by approximately $1\mathrm{.}4448$ weeks while holding constant the effects of age.