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

question 66

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,X₅ and X₆ should be among the appropriate models using the Mallow's C_p statistic.

---

Definitions:

Hooke's Law

A principle stating that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance.

Inversely

In an opposite or reverse manner, often referring to the relationship where as one variable increases, another decreases.

Fifth Power

A number or variable raised to the exponent of five, indicating it is multiplied by itself four times.

Hooke's Law

A principle stating that the force needed to extend or compress a spring by some distance is proportional to that distance.