An estimated regression equation that was fit to estimate ductility in steel usi
ID: 3265181 • 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 alpha = 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. What is the correct interpretation of this prediction interval? A. We can be 95% confident that the average ductility of all steel with 0.5% carbon content is between 0 45 and 11.59. B. We can be 95% confident that all steel with have ductility measurements between 0.45 and 11 59. C. 95% of the time the average ductility of steel with 0 5% carbon content will be between 0 45 and 11.59. D. We can be 95% confident that the ductility of a particular type of steel with 0.5% carbon content is between 0 45 and 1159.Explanation / Answer
here as for prediction interval we do not talk about average value but about future value for an observation
therefore option D is correct.,