The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000)were recorded for nine different geographic regions.A 95% prediction interval for the cancer mortality rate of a region whose index of exposure is 5.79 is 133.0 to 203.4 deaths per 100,000.
Dependent variable is: Cancer Mortality Rate
R-squared = 85.8%
S = 14.00993 with 9 - 2 = 7 degrees of freedom
A)Based on this regression,we are 95% confident that the index of exposure will increase between 133.0 and 203.4 for each unit increase in the cancer mortality rate over 5.79.
B)Based on this regression,we know that 95% of all random samples of regions will have a mean cancer mortality rate that is between 133.0 and 203.4 deaths per 100,000.
C)Based on this regression,we are 95% confident that a region with an index of exposure of 5.79 will have a cancer mortality rate that is between 133.0 and 203.4 deaths per 100,000.
D)Based on this regression,we are 95% confident that the mean cancer mortality rate will increase between 133.0 and 203.4 deaths per 100,000 for each unit increase in the index of exposure over 5.79.
E)Based on this regression,we are 95% confident that the mean cancer mortality rate for regions with an index of exposure of 5.79 will be between 133.0 and 203.4 deaths per 100,000.

Question

The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000)were recorded for nine different geographic regions.A 95% prediction interval for the cancer mortality rate of a region whose index of exposure is 5.79 is 133.0 to 203.4 deaths per 100,000. 
Dependent variable is: Cancer Mortality Rate
R-squared = 85.8%
S = 14.00993 with 9 - 2 = 7 degrees of freedom 
A)Based on this regression,we are 95% confident that the index of exposure will increase between 133.0 and 203.4 for each unit increase in the cancer mortality rate over 5.79. 
B)Based on this regression,we know that 95% of all random samples of regions will have a mean cancer mortality rate that is between 133.0 and 203.4 deaths per 100,000. 
C)Based on this regression,we are 95% confident that a region with an index of exposure of 5.79 will have a cancer mortality rate that is between 133.0 and 203.4 deaths per 100,000. 
D)Based on this regression,we are 95% confident that the mean cancer mortality rate will increase between 133.0 and 203.4 deaths per 100,000 for each unit increase in the index of exposure over 5.79. 
E)Based on this regression,we are 95% confident that the mean cancer mortality rate for regions with an index of exposure of 5.79 will be between 133.0 and 203.4 deaths per 100,000.

Quizplus · Accepted Answer

The 95% prediction interval given in the question relates to the cancer mortality rate for a region with an index of exposure of 5.79. Therefore, option C is the correct choice. Options A, D, and E are incorrect because they suggest that the index of exposure is the independent variable, which is not the case in this question. Option B is incorrect because it suggests that the given interval represents a range of possible sample means, which is not the case either.

The Index of Exposure to Radioactive Waste and the Cancer