SCENARIO 13-17
Given Below Are Results from the Regression Analysis

question 241

Multiple Choice

SCENARIO 13-17
Given below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy) and the independent variables are the age of the worker (Age) and a dummy variable for management position (Manager: 1 = yes, 0 = no) .
The results of the regression analysis are given below: $$\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.6391 \\\text { R Square } & 0.4085 \\\text { Adjusted R Square } & 0.3765 \\\text { Standard Error } & 18.8929 \\\text { Observations } & 40 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array} { l r r r r r } \hline &{ \text { df } } & { \text { SS } } & { \text { MS } } &{ \text { F } } & { \text { Significance } F } \\\hline \text { Regression } & 2 & 9119.0897 & 4559.5448 & 12.7740 & 0.0000 \\\text { Residual } & 37 & 13206.8103 & 356.9408 & \\\text { Total } & 39 & 22325.9 & & \\\hline\end{array}\\\\\begin{array} { l r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & { P \text {-value } } \\\hline \text { Intercept } & - 0.2143 & 11.5796 & - 0.0185 & 0.9853 \\\text { Age } & 1.4448 & 0.3160 & 4.5717 & 0.0000 \\\text { Manager } & - 22.5761 & 11.3488 & - 1.9893 & 0.0541 \\\hline\end{array}\end{array}$$
-Referring to SCENARIO 13-17, which of the following is the correct null hypothesis to test whether age has any effect on the number of weeks a worker is unemployed due to a layoff while holding constant the effect of the other independent variable?

• A)\(H _ { 0 } : \beta _ { 1 } = 0\)
• B)\(H _ { 0 } : \beta _ { 1 } \neq 0\)
• C)\(H _ { 0 } : \beta _ { 2 } = 0\)
• D)\(H _ { 0 } : \boldsymbol { \beta } _ { 2 } \neq 0\)

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Definitions:

Chronic Arterial Symptoms

Symptoms that persist over time indicating poor arterial health, such as pain, cramping, and tiredness in the limbs, often due to restricted blood flow.

Weeping Ulcers

Ulcers that produce a watery fluid or pus, often indicating an infection or underlying health issue.

Diabetes

A chronic condition characterized by high levels of sugar in the blood due to the body's inability to produce or properly use insulin.

Elevational Pallor

A condition where there is paleness of the skin when the limb is raised, often indicative of arterial insufficiency.