Listed below are amounts of court income and salaries paid to the town justices. 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
(a) Explained variation,
(b) Unexplained variation, and
(c) Indicated prediction interval. In each case, there is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions.

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Court Income 65 4041567 113 272 252 154 32 Justice Salary 30 44 92 56 466 25 26 18