A highway employee performed a regression analysis of the relationship between t

Question

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 city. The regression equation is shown as: Fatalities = 12.327 + 0.00010380 (Unemp). Use t-distribution for the t-values. Some additional output is as follows:

Predictor Coef SE Coef T P Constant 12.327 8.070 1.53 0.147 Unemp 0.00010380 0.00002864 3.62 0.002 Analysis of Variance Source DF SS MS F P Regression 1 11566 11566 13.8400 0.0020 Residual Error 15 12536 835.7333 Total 16 24102

Explanation / Answer

a. How many states were in the sample?

= 16+1 = 17
b. Determine standard error of estimate.

= sqrt(MSE) = sqrt(835.7333) = 28.9090
c. Determine coefficient of determination.

r^2 = SSR/SST = 11566/24102 = 0.479877
d. Determine coefficient of correlation

r = sqrt(0.479877) = 0.69273154973
e. At the .05 significance level does the evidence suggest there is a positive association between fatalities and the number unemployed?

yes,

as p-value = 0.002 < 0.05

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