Using the first 10 observations, I need to
a) Obtain a 95% confidence interval for the mean
muscle mass of women aged 60. Interpret your confidence interval.
b) Obtain a 95% prediction interval for the muscle mass of a woman whose age is 60. Is the prediction interval relatively precise?
c) Determine the boundary values of the 95% confidence band for the regression line when Xh=60. Is your confidence band wider at this point than the confidence interval in part 1? Should it be?
Firstly, I am not even really sure what the difference is between all 3 of these questions. What is the difference between a confidence interval and a prediction interval? And aren't 2 and 3 the same question? I am confused, can someone show me how to solve these and explain the differences please. it would be greatly appreciated.
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