1 Listed below are amounts of court income and salaries paid

1.      Listed below are amounts of court income and salaries paid to the town justices (based on data from the Poughkeepsie Journal). All amounts are in thousands of dollars, and all of the towns are in Dutchess County, New York. For the prediction interval, use a 99% confidence level with a court income of $800,000. Find the explained variation, unexplained variation, and indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions.

Court Income

65

404

1567

1131

272

252

111

154

32

Justice Salary

30

44

92

56

46

61

25

26

18

Multiple choice

A.) Explained variation 5378.22, unexplained variation 1342.72, prediction interval $7400<y<76500  

B.) Explained variation 3210.364, unexplained variation 932.87, prediction interval $ 15400<y<10500

C.) Explained variation 1517.298, unexplained variation 640.427, prediction interval $28700<y<93200    

D.) Explained variation 5378.22, unexplained variation 1345.72, prediction interval $15300<y<135700  

E.) Explained variation 3210.364, unexplained variation 1087.191, prediction interval $10400<y<105000  

Solution