Question

Listed below are amounts of court income and salaries paid to the town justices for a...

Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) 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. For the prediction​ interval, use a 99% confidence level with a court income of $800,000.

Court_Income   Justice_Salary
62 31
407 49
1558 90
1142 58
254 48
252 62
118 26
173 20
31 24

a. Find the explained variation.

b. Find the unexplained variation

c. Find the indicated prediction interval.

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