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SCENARIO 15-6 Given Below Are Results from the Regression Analysis on 40

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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)and the independent variables are the age of the worker (X1),the number of years of education received (X2),the number of years at the previous job (X3),a dummy variable for marital status (X4: 1 = married,0 = otherwise),a dummy variable for head of household (X5: 1 = yes,0 = no)and a dummy variable for management position (X6: 1 = yes,0 = no).
The coefficient of multiple determination ( R 2j )for the regression model using each of the 6 variables X j as the dependent variable and all other X variables as independent variables are,respectively,
0.2628,0.1240,0.2404,0.3510,0.3342 and 0.0993.
The partial results from best-subset regression are given below:
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)and the independent variables are the age of the worker (X<sub>1</sub>),the number of years of education received (X<sub>2</sub>),the number of years at the previous job (X<sub>3</sub>),a dummy variable for marital status (X<sub>4</sub>: 1 = married,0 = otherwise),a dummy variable for head of household (X<sub>5</sub>: 1 = yes,0 = no)and a dummy variable for management position (X<sub>6</sub>: 1 = yes,0 = no). The coefficient of multiple determination ( R <sup>2</sup><sub>j</sub> )for the regression model using each of the 6 variables X <sub>j </sub>as the dependent variable and all other X variables as independent variables are,respectively, 0.2628,0.1240,0.2404,0.3510,0.3342 and 0.0993. The partial results from best-subset regression are given below:    -Referring to Scenario 15-6,the model that includes X<sub>1</sub>,X<sub>2</sub>,X<sub>5</sub> and X<sub>6</sub> should be among the appropriate models using the Mallow's C<sub>p</sub> statistic.
-Referring to Scenario 15-6,the model that includes X1,X2,X5 and X6 should be among the appropriate models using the Mallow's Cp statistic.


Definitions:

Internal Validity

The extent to which changes in the independent variable caused changes in the dependent variable.

Independent Variable

A variable in an experiment that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Dependent Variable

In an experimental setting, it is the variable being tested and measured, expected to change as a result of manipulations to the independent variable.

Internal Validity

The degree to which an experiment or study accurately measures or tests what it intends to, without the influence of external factors.

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