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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 variable X<sub>2</sub> should be dropped to remove collinearity?
-Referring to Scenario 15-6,the variable X2 should be dropped to remove collinearity?


Definitions:

Input

Resources such as labor, materials, and capital used in the production of goods and services.

Backward-Bending

Refers to a labor supply curve that bends backwards at higher wage rates, indicating that higher wages can lead to less labor supplied due to increased leisure preference.

Substitution Effect

A change in consumption patterns due to a change in the relative prices of goods, leading consumers to substitute one good for another.

Income Effect

The alteration in a person's or an economy's earnings and its effect on the amount of a good or service they want to purchase.

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