A major oil company is studying the relationship between the daily traffic count and the number of gallons of gasoline pumped at company stations. A sample of eight company owned stations is selecte and the following information is obtained:

Total Gallons of Gas Pumped Traffic Count of Vehicles Location

West Street 120 4

Willow Street 180 6

Mallard Road 140 5

Pheasant Road 150 5

I-75 210 8

Kinsey Road 100 3

College Street 90 3

Indiana Avenue 80 2

a. Develop a scatter diagram with the amount of gasoline pumped as the dependent variable.

b. Compute the coefficient of correlation.

c. Compute the coefficient of determination.

d. Interpret the meaning of the coefficient of determination.

e. Test to determine whether the correlation in the populations is zero, versus the alternate hypothesis that the correlation is greater than zero. Use the 0.05 significance level.

f. Compute the regression equation.

g. Compute the standard error of estimate.

h. Develop a 95 percent confidence interval for the mean amount of gasoline pumped for all stations where the traffic count is 4.

i. Develop a 95 percent prediction interval for the amount of gasoline pumped at the station at Dowling Road and I-60, which has a count of 4 (actually 400 cars).