A community researcher measured the correlation between the average cost of housing and the crime rate in eight local communities. The results of this hypothetical study are listed in the following table.
Average Cost of Housing ________________________ Crime Rates (per 100,000
_(in thousands of dollars) _____________________________population)______
___________X _________________________________________Y____________
20 ..............................................................96
80 ..............................................................65
220 ............................................................22
120 ............................................................31
180 ............................................................34
90 ..............................................................70
110 ............................................................30
300 ............................................................16
(a) Compute the Pearson correlation coefficient.
(b) Compute the coefficient of determination.
(c) Using a two-tailed test at a .05 level of significance, state the decision to retain or reject the null hypothesis.