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 correct interpretation of a 95% prediction interval is that we can be 95% confident that the ductility of a particular type of steel with 0.5% carbon content will fall within the given range (0.45 to 11.59). Prediction intervals are used for individual predictions, not averages or proportions of data within a range.

An Estimated Regression Equation That Was Fit to Estimate Ductility