Perform the Required Correlation Test The Sample Linear Correlation Coefficient Is R = 0

Essay

Perform the required correlation test. You may presume that the assumptions for regression inferences are met.
-The sample data below are the index of exposure (x)to radioactive waste for nine different Oregon counties and cancer mortality rate (y)(deaths per 100,000). $$\begin{array} { l l l l l l l l l l } \hline \mathrm { x } & 2.49 & 2.57 & 3.41 & 1.25 & 1.62 & 3.83 & 11.64 & 6.41 & 8.34 \\ \hline \mathrm { y } & 147.1 & 130.1 & 129.9 & 113.5 & 137.5 & 162.3 & 207.5 & 177.9 & 210.3 \\ \hline \end{array}$$ The sample linear correlation coefficient is r = 0.926. At the 5% significance level, do the data provide sufficient evidence to conclude that index of exposure and cancer mortality rate are linearly correlated?