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

Question

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

Explanation / Answer

Solution:- option (E). Explained variation 3210.364,unexplained variation 1087.191,prediction interval $10400<y<105000

=>the regression line obtained is y^ = 27.7015+0.0373x

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