The table shows the average weekly wages (in dollars) for state government emplo
ID: 3201219 • Letter: T
Question
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is ModifyingAbove y with caret = 1.428x - 32.421 . Complete parts (a) and (b) below.
Average Weekly Wages (state), x 752 773 792 801 841 885 930 950
Average Weekly Wages (federal), y 994 1052 1100 1159 1208 1258 1272 1300
(a) Find the coefficient of determination and interpret the result. rsquared equalsnothing (Round to three decimal places as needed.) How can the coefficient of determination be interpreted?
The coefficient of determination is the fraction of the variation in average weekly wages for state government employees, federal government employees, all government employees in the last 8 years that can be explained by the variation in average weekly wages for state government employees, federal government employees, all government employees in the last 8 years and is represented by r squared . 1 minus r squared .
The remaining fraction of the variation, r squared 1 minus r squared , is unexplained and is due to other factors or to sampling error.
(b) Find the standard error of estimate s Subscript e and interpret the result. s Subscript e equalsnothing (Round to two decimal places as needed.) How can the standard error of estimate be interpreted?
The standard error of estimate of the average weekly wage for state government employees, federal government employees, all government employees in the last 8 years for a specific, any ,the range of average weekly wage for state government employees, federal government employees, all government employees in the last 8 years is about se dollars.
Explanation / Answer
The regression equation is -32.42+1.428073x.
Average Weekly Wages (state) (x)
A)
Coefficient of determination is 0.90 i.e. 90% variation in dependent variable y (Average Weekly Wages (federal)) is accounted for by dependent variable x (Average Weekly Wages (state)).
B) The S.E of the estimate is 0.190148 for
SUMMARY OUTPUT Regression Statistics Multiple R 0.950712 R Square 0.903854 Adjusted R Square 0.887829 Standard Error 37.204 Observations 8 ANOVA df SS MS F Significance F Regression 1 78072.05 78072.05 56.40484 0.000288 Residual 6 8304.825 1384.137 Total 7 86376.88 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -32.4206 160.36 -0.20217 0.846462 -424.807 359.9661 -424.807 359.9661Average Weekly Wages (state) (x)
A)
1.428073 0.190148 7.510316 0.000288 0.962797 1.893349 0.962797 1.893349Coefficient of determination is 0.90 i.e. 90% variation in dependent variable y (Average Weekly Wages (federal)) is accounted for by dependent variable x (Average Weekly Wages (state)).
B) The S.E of the estimate is 0.190148 for
Average Weekly Wages (state) (x) and for intercept it is 160.36.Related Questions
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