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?

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