The index of exposure to radioactive waste, x, and the cancer mortality rates, y

Question

The index of exposure to radioactive waste, x, and the cancer mortality rates, y, (deaths per 100,000) were recorded for nine different state counties and the regression equation y^= 114.7156 + 9.231456x was fit using the data. Suppose a county has a standardized residual of 7.5. Interpret this value. A. The actual cancer mortality rate for this county is 7.5 greater than the predicted cancer mortality rate. B. The variability of the cancer mortality rates for counties with this same index of exposure is 7.5. C. The cancer mortality rate for this county is 7.5 standard errors higher than what would be predicted for a county with the same index of exposure. D. The cancer mortality rate for this county is 7.5 standard errors lower than what would be predicted for a county with the same index of exposure. E. The predicted cancer mortality rate for this county is 7.5 greater than the actual cancer mortality rate.

Explanation / Answer

Option-C is the answer

This is because standardized residuals are explained in terms of standard error and also it is positive so it means higher

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