[2 points]- 1 of 7 ID: MST.MR.TM.05.0030 A regression model is constructed with

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[2  points]- 1 of 7   ID: MST.MR.TM.05.0030

A regression model is constructed with the goal of predicting the number of motor vehicle accidents in a city per year based upon the population of the city, the number of recorded traffic offenses per year, the number of vehicles per capita in the city and the average annual temperature in the town. A random sample of 50 cities were studied for this purpose.

Here is an analysis output on the regression model:

a)At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis ?is/is not ?rejected.

b)Suppose you are going to construct a new model by removing the most insignificant variable. You would first remove:

A.population of city
B.no. of vehicles per capita

C.no. of traffic offenses
D.average annual temp.

ANOVA DF SS MS F Probability Regression 4 180.029 45.00725 16.98742923... < 0.001 Residual 45 119.225 2.64944444... Total 49 299.254 Regression analysis R2 0.60159263... s 1.62771141... Regression coefficients Estimate Standard Error t Probability Intercept 19.82 3.145 6.30206677... < 0.001 Population
of city 2.567 0.0551 46.58802178... < 0.001 No. of vehicles
per capita 1.024 0.1622 6.31319359... < 0.001 No. of traffic offenses 0.297 0.2735 1.08592322... 0.28329605... Average annual
temp. 0.178 0.5943 0.29951203... 0.76592846...

Explanation / Answer

(a) null hypothesis is rejected, since p-value < 0.05.

(b) I would first remove "Average annual temp." because its p-value (0.7659) is very much higher than 0.05.

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