5. A researcher wishes to investigate the relationship amongst the distance between a house and the closest fire station in kilometers X (independent variable) and the damage that fire caused to them in thousand dollars as a dependent variable Y.A sample of houses from different parts of the city is randomly selected and the results are summarized in the ANOVA table below:

(16 points)

	Degrees of Freedom	SS
Regression	1	841.77
Residual	13	69.75
Total	14	911.52
	Coefficients	Standard Error	t Stat	p-value
Intercept	10.28	1.42	7.24	0.006
X variable	4.92	0.39	12.53	0.001

a. What is the estimated regression equation that relates the fire damage (Y) to the distance from the fire station (X)?

b. If a property is 5.8 kilometers away from the closest fire station what is the estimated damage in thousands of dollars?

c. Is the regression relationship significant? Use the p-value approach and 1% level of significance.

d. Compute the coefficient of determination between distance and the fire damage. Interpret the result in the context of the problem.