The Index of Exposure to Radioactive Waste and the Cancer

question 4

Essay

The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000)were recorded for nine different geographic regions.Explain what the R-squared in this regression means.
Dependent variable is: Cancer Mortality Rate
R-squared = 85.8%
s = 14.00993 with 9 - 2 = 7 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 114.7156 & 8.045663 & 14.25807 & 0.00000198 \\\text { Index of Exp } & 9.231456 & 1.418787 & 6.506584 & 0.000332\end{array}$$

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Definitions:

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, indicating how spread out the data points are.

Margin Of Error

The range within which the true value lies in statistical sampling, with a certain level of confidence.

Confidence Intervals

A span of numbers that predicts the actual value of a population statistic within a certain confidence level.

Margin Of Error

An expression of the amount of random sampling error in a survey's results, defining a range within which the true population parameter is expected to lie.