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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>5</sub> and X<sub>6</sub> should be selected using the adjusted r<sup>2</sup> statistic.
-Referring to Scenario 15-6,the model that includes X1,X5 and X6 should be selected using the adjusted r2 statistic.


Definitions:

Ogive

A graphical representation that displays the cumulative frequencies or cumulative percentages of a dataset, usually in the form of a curve.

Statistics Test

A procedure used to assess the probability of a hypothesis about a data set being true or false.

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