An estimated regression equation hat was to estimate ductility in stee using its

Question

An estimated regression equation hat was to estimate ductility in stee using its carbon content was ound to be significant at r: 005 e 9 % pred ction 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 ductility of a particular type of steel with 0.5% carbon content is between 0.45 and 11.59 O 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. 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 all steel with have ductility measurements between 0 45 and 1159.

Explanation / Answer

The correct answer is C. 95% of the time the average ducility of steel with 0.5% carbon content will be between 0.45 and 11.59.

Please note that if the 95% confidence interval is (a,b), this means that 95% of all intervals contain the parameter in the range (a,b),

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