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SCENARIO 14-17
Given Below Are Results from the Regression Analysis

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SCENARIO 14-17
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).
The results of the regression analysis are given below:   Regression Statistics  Multiple R 0.6391 R Square 0.4085 Adjusted R Square 0.3765 Standard Error 18.8929 Observations 40\begin{array}{l}\hline \ { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.6391 \\\text { R Square } & 0.4085 \\\text { Adjusted R Square } & 0.3765 \\\text { Standard Error } & 18.8929 \\\text { Observations } & 40 \\\hline\end{array}

 ANOVA \text { ANOVA }
 SCENARIO 14-17 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). The results of the regression analysis are given below:  \begin{array}{l} \hline \ { \text { Regression Statistics } } \\ \hline \text { Multiple R } & 0.6391 \\ \text { R Square } & 0.4085 \\ \text { Adjusted R Square } & 0.3765 \\ \text { Standard Error } & 18.8929 \\ \text { Observations } & 40 \\ \hline \end{array}    \text { ANOVA }       \begin{array} { l r r r r }  \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } &  { \text { P-value } } \\ \hline \text { Intercept } & - 0.2143 & 11.5796 & - 0.0185 & 0.9853 \\ \text { Age } & 1.4448 & 0.3160 & 4.5717 & 0.0000 \\ \text { Manager } & - 22.5761 & 11.3488 & - 1.9893 & 0.0541 \\ \hline  \end{array}  -Referring to Scenario 14-17, which of the following is the correct null hypothesis to determine whether there is a significant relationship between the number of weeks a worker is unemployed Due to a layoff and the entire set of explanatory variables? a)  H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = 0  b)  H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0  c)  H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 }  d)  H _ { 0 } : \beta _ { 1 } = \beta _ { 2 }


 Coefficients  Standard Error t Stat  P-value  Intercept 0.214311.57960.01850.9853 Age 1.44480.31604.57170.0000 Manager 22.576111.34881.98930.0541\begin{array} { l r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & { \text { P-value } } \\\hline \text { Intercept } & - 0.2143 & 11.5796 & - 0.0185 & 0.9853 \\\text { Age } & 1.4448 & 0.3160 & 4.5717 & 0.0000 \\\text { Manager } & - 22.5761 & 11.3488 & - 1.9893 & 0.0541 \\\hline\end{array}
-Referring to Scenario 14-17, which of the following is the correct null hypothesis to determine whether there is a significant relationship between the number of weeks a worker is unemployed
Due to a layoff and the entire set of explanatory variables? a) H0:β0=β1=β2=0H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = 0
b) H0:β1=β2=0H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0
c) H0:β0=β1=β2H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 }
d) H0:β1=β2H _ { 0 } : \beta _ { 1 } = \beta _ { 2 }

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