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SCENARIO 15-6 Given Below Are Results from the Regression Analysis (Y)( Y )

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SCENARIO 15-6 Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y)( Y ) and the independent variables are the age of the worker (X1)\left( X _ { 1 } \right) , the number of years of education received (X2)\left( X _ { 2 } \right) , the number of years at the previous job (X3)\left( X _ { 3 } \right) , a dummy variable for marital status ( X4:1=X _ { 4 } : 1 = married, 0=0 = otherwise), a dummy variable for head of household (X5:1=\left( X _ { 5 } : 1 = \right. yes, 0=0 = no) and a dummy variable for management position (X6:1=\left( X _ { 6 } : 1 = \right. yes, 0=0 = no )) .

The coefficient of multiple determination (Rj2)\left( R _ { j } ^ { 2 } \right) for the regression model using each of the 6 variables XjX _ { j } as the dependent variable and all other XX variables as independent variables are, respectively, 0.2628,0.1240,0.2404,0.3510,0.33420.2628,0.1240,0.2404,0.3510,0.3342 and 0.09930.0993 .

The partial results from best-subset regression are given below:
 Model  R Square  Adj. R Square  Std. Error  X1X5X6 0.45680.411618.3534 X1X2X5X6 0.46970.409118.3919 X1X3X5X6 0.46910.408418.4023 X1X2X3X5X6 0.48770.412318.3416 X1X2X3X4X5X6 0.49490.403018.4861\begin{array}{|l|r|r|r|}\hline {\text { Model }} & \text { R Square } & \text { Adj. R Square } & \text { Std. Error } \\\hline \text { X1X5X6 } & 0.4568 & 0.4116 & 18.3534 \\\hline \text { X1X2X5X6 } & 0.4697 & 0.4091 & 18.3919 \\\hline \text { X1X3X5X6 } & 0.4691 & 0.4084 & 18.4023 \\\hline \text { X1X2X3X5X6 } & 0.4877 & 0.4123 & 18.3416 \\\hline \text { X1X2X3X4X5X6 } & 0.4949 & 0.4030 & 18.4861 \\\hline\end{array}

-Referring to Scenario 15-6, the model that includes X1,X3,X5 and X6X _ { 1 } , X _ { 3 } , X _ { 5 } \text { and } X _ { 6 } should be
among the appropriate models using the Mallow's CpC _ { p } statistic.


Definitions:

Book Balances

The amounts shown in a company's financial records, before any adjustments for checks or debits that have not yet been processed by the bank.

Available Balances

The total amount of funds in an account that are accessible for use or withdrawal at any given moment.

Disbursement Float

The time gap between the writing of a check and the reduction of the payer's bank account balance.

Short-term Investments

Assets that can easily be converted into cash, typically within 5 years or less.

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