A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a state. The regression equation is Fatalities = 12.7 + 0.000114 (Unemp). Some additional output is:
Predictor Coef SE Coef T P
Constant 12.726 8.115 1.57 .134
Unemp 0.00011386 0.00002896 3.93 .001
Analysis of Variance
Source DF SS MS F P
Regression 1 10354 10354 15.46 0.001
Residual Error 18 12054 670
Total 19 22408
How many states were in the sample?
Determine the standard error of estimate.
Determine the coefficient of determination.
Determine the correlation coefficient.
At the .05 significance level, does the evidence suggest there is a positive association between fatalities and the number unemployed?