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24. A community researcher measured the correlation between the average cost of housing and the crime rate in eight local communities. The results of this

24. 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 (in thousands of dollars) Crime Rate (per 100,000 population)
X Y
20 96
80 65
220 22
120 31
180 34
90 70
110 30
300 16
  1. Compute the Pearson correlation coefficient.
  2. Compute the coefficient of determination.
  3. Using a two-tailed test at a .05 level of significance, state the decision to retain or reject the null hypothesis.

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