urmber of weeks a worker is unerriployed due to a layoir (Onempioy) and Giveri below are resuits fromi the dummy variable for management position (Manager: 1= yes, 0 = no). The results of the regression analysis are given below. regression analysis wriere trhe dependent employed due layoir (Unermiploy) pendent vanabies are the age of the worker (Age) and E Click the icon to view the results. Determine whether the following statement is true or false: There is sufficient evidence that age has an effect on the number of weeks a worker is unemployed due to a layoff while holding constant the effect of the other independ variable at a 10% level of significance. - X Regression Statistics False O True Regression Statistics Multiple R 0.6391 RSquare 0.4085 Adjusted R Square 0.3765 Standard Error 18.8929 Observations 40 ANOVA df SS MS Significance F Regression 9119.0897 4559.5448 12.7740 0.0000 Residual 37 13206.8103 356.9408 Total 39 22325.9 Standard Error P-value t Stat -0.0185 Coefficients Intercept -0.2143 11.5796 0.9853 Age Manager 1.4448 0.3160 4.5717 0.0000 -22.5761 11.3488 -1.9893 0.0541

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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.
Click the icon to view the results.
Determine whether the following statement is true or false: There is sufficient evidence that age has an effect on the number of weeks a worker is unemployed due to a layoff while holding constant the effect of the other independent
variable at a 10% level of significance.
Regression Statistics
False
True
Regression Statistics
Multiple R
0.6391
R Square
0.4085
Adjusted R Square
0.3765
Standard Error
18.8929
Observations
40
ANOVA
df
SS
MS
Significance F
Regression
2
9119.0897
4559.5448
12.7740
0.0000
Residual
37
13206.8103
356.9408
Total
39
22325.9
Coefficients
Standard Error
t Stat
P-value
Intercept
-0.2143
11.5796
-0.0185
0.9853
Age
1.4448
0.3160
4.5717
0.0000
Manager
-22.5761
11.3488
-1.9893
0.0541
Transcribed Image Text: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. Click the icon to view the results. Determine whether the following statement is true or false: There is sufficient evidence that age has an effect on the number of weeks a worker is unemployed due to a layoff while holding constant the effect of the other independent variable at a 10% level of significance. Regression Statistics False True Regression Statistics Multiple R 0.6391 R Square 0.4085 Adjusted R Square 0.3765 Standard Error 18.8929 Observations 40 ANOVA df SS MS Significance F Regression 2 9119.0897 4559.5448 12.7740 0.0000 Residual 37 13206.8103 356.9408 Total 39 22325.9 Coefficients Standard Error t Stat P-value Intercept -0.2143 11.5796 -0.0185 0.9853 Age 1.4448 0.3160 4.5717 0.0000 Manager -22.5761 11.3488 -1.9893 0.0541
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