The Sample Data Below Are the Index of Exposure (X)to

question 28

Essay

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). $$\begin{array}{l} \begin{array} { l l l l l l l l l l } \hline \mathrm { x } & 2.49 & 2.57 & 3.41 & 1.25 & 1.62 & 3.83 & 11.64 & 6.41 & 8.34 \\ \hline \mathrm { y } & 147.1 & 130.1 & 129.9 & 113.5 & 137.5 & 162.3 & 207.5 & 177.9 & 210.3 \\ \hline \end{array}\\ \hat { \mathrm { y } } = 114.72 + 9.23 x \end{array}$$ A 99% confidence interval for the slope of the population regression line that relates cancer mortality rate to index of exposure is 4.26 to 14.20. Provide an interpretation of this confidence interval.

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