Instruction 16-6
Given Below Are Results from the Regression Analysis

question 69

True/False

Instruction 16-6
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 (R²_j) 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:
$$\begin{array} { | l | l | l | l | } \hline \text { Model } & \text { R Square } & \text { Adj. R Square } & \text { Std. Error } \\\hline X _ { 1 } X _ { 5 } X _ { 6 } & 0.4568 & 0.4116 & 18.3534 \\\hline X _ { 1 } X _ { 2 } X _ { 5 } X _ { 6 } & 0.4697 & 0.4091 & 18.3919 \\\hline X _ { 1 } X _ { 3 } X _ { 5 } X _ { 6 } & 0.4691 & 0.4084 & 18.4023 \\\hline X _ { 1 } X _ { 2 } X _ { 3 } X _ { 5 } X _ { 6 } & 0.4877 & 0.4123 & 18.3416 \\\hline X _ { 1 } X _ { 2 } X _ { 3 } X _ { 4 } X _ { 5 } X _ { 6 } & 0.4949 & 0.4030 & 18.4861 \\\hline\end{array}$$
-Referring to Instruction 16-6,the variable X₅ should be dropped to remove collinearity.

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Definitions:

Controlled Conditions

A methodological practice in experiments where all variables are kept constant except for the independent variable being tested.

Non-random Assignment

The process of allocating individuals to groups in a study based on criteria other than random selection, potentially introducing bias to the results.

Exam Review Procedure

A structured approach for analyzing and understanding the content covered in an exam, usually involving going over materials, identifying weak areas, and formulating strategies for improvement.

Effectiveness

Effectiveness refers to the degree to which something achieves its intended outcome or result.