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

question 81

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:
$$\begin{array} { | l | l | l | l | } \hline \text { Model } & \text { R Square } & \text { Adj. R Square } & \text { Std. Error } \\\hline \text { X1X5Х6 } & 0.4568 & 0.4116 & 18.3534 \\\hline \times 1 \times 2 \times 5 \times 6 & 0.4697 & 0.4091 & 18.3919 \\\hline \times 1 \times 3 \times 5 \times 6 & 0.4691 & 0.4084 & 18.4023 \\\hline \times 1 \times 2 \times 3 \times 5 \times 6 & 0.4877 & 0.4123 & 18.3416 \\\hline \times 1 \times 2 \times 3 \times 4 \times 5 \times 6 & 0.4949 & 0.4030 & 18.4861 \\\hline\end{array}$$
-Referring to Instruction 16-6,the model that includes X₁,X₂,X₃,X₅ and X₆ should be selected using the adjusted r² statistic.

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Definitions:

Dense Regular Collagenous

A type of connective tissue with collagen fibers aligned in parallel, providing tensile strength in one direction.

Dense Regular Collagenous

Tissue composed of parallel alignments of collagen fibers that provide high tensile strength in one direction, found in tendons and ligaments.

Ligament

A short band of tough, flexible, fibrous connective tissue that connects two bones or cartilages or holds together a joint.

Connective Tissue

A type of body tissue that supports, connects, or separates different types of tissues and organs in the body.