In: Statistics and Probability
The following sample observations were randomly selected:
X) 6 5 4 6 10
Y) 4 6 5 2 11
a.) Determine the 0.95 confidence interval for the mean predicted when x=9.
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b.) Determine the 0.95 prediction interval for an individual predicted when x=9
[ , ]
The excel output for prediction and confidence interval is:
Hence,
a) 0.95 confidence interval for mean:
[2.2083, 15.0225]
b) 0.95 prediction interval for an individual:
[-1.9774, 19.2081]