Figure A shows a scatterplot with the regression line for the ages and weights of a random sample of 19 college baseball players. Figure B gives a prediction (Fit), a prediction interval, and a confidence interval for a new observation at 20 years old.

a. Identify which interval is which, and explain why one of the intervals is larger than the other.
b. Interpret the confidence interval.
c. Interpret the prediction interval.

Transcribed Image Text:

Weight = 107.4 + 4.582 Age 220 210 200 190 180 170 17 18 19 20 21 22 23 24 Age of Baseball Players Predicted Values for New Observations New Obs Fit SE Fit 95% CI 1 199.02 2.06 (194.67, 203.37) (181.62, 216.41) 953 PI Values of Predictors for New observations New obs ge 1 20.0