Chapter 10.2, Problem 17BSC

Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section l0-3 exercises.)

17. Town Courts Listed below are amounts of court fine revenue and salaries paid to the town justices (based on data from the Poughkeepsie journal). All amounts arc in thousands of dollars, and all of the towns arc in Dutchess County, New York. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?

Court Income	65	404	1567	1131	272	252	111	154	32
Justice Salary	30	44	92	56	46	61	2S	26	18