An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significant at α = 0.05. The 95% prediction interval
For the ductility of steel with 0.5% carbon content was determined to be 0.45 to 11.59.
The correct interpretation is
A) We can be 95% confident that the ductility of a particular type of steel with 0.5%
Carbon content is between 0.45 and 11.59.
B) We can be 95% confident that the average ductility of all steel with 0.5% carbon
Content is between 0.45 and 11.59.
C) The ductility of steel with 0.5% carbon content will be between 45 and 11.59
Most (95%) of the time.
D) 95% of the time the average ductility of steel with 0.5% carbon content will be
Between 0.45 and 11.59.
E) We can be 95% confident that all steel with have ductility measurements between 0.45 and 11.59.

Question

Quizplus · Accepted Answer

The 95% prediction interval gives us a range in which we can be 95% confident that the actual ductility of a particular type of steel with 0.5% carbon content will fall. It is not making an inference about the average ductility of all steel with 0.5% carbon content, nor is it claiming that this is true for 95% of all possible measurements or samples.

An Estimated Regression Equation That Was Fit to Estimate Ductility