An estimated regression equation that was fit to estimate ductility in steel usi
ID: 3323589 • Letter: A
Question
An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significant at a = 0.05. The 95% prediction interval for the ductility of steel with 0.05% carbon content was determined to be 3.45 to 11.59. The correct interpretation is:
A)The ductility of steel with 0.05% carbon content will be between 3.45 and 11.59 most (95%) of the time.
B)We can be 95% confident that all steel will have ductility measurements between 3.45 and 11.59.
C)We can be 95% confident that the ductility of a particular type of steel with 0.05% carbon content is between 3.45 and 11.59.
D)95% of the time the average ductility of steel with 0.05% carbon content will be between 3.45 and 11.59.
E)We can be 95% confident that the average ductility of all steel with 0.05% carbon content is between 3.45 and 11.59.
Explanation / Answer
The correct interpretation of given prediction interval is:
We can be 95% confident that the ductility of a particular type of steel with 0.05% carbon content is between 3.45 and 11.59.
Option C is correct.