Figure A shows a scatterplot with the regression line for predicting the father's education from the mother's education for a random sample of 29 students. Figure B shows the confidence interval and the prediction interval for the father for a new observation when the mother has 10 years of education.

a. Identify which interval is which. Explain what they show and why one interval is larger than the other.
b. Interpret the confidence interval.
c. Interpret the prediction interval.

Transcribed Image Text:

FatherEd 2.785 + 0.6370 MotherEd 18 16 12 10 2 10 15 20 Years of Education for the Mother Predicted Values for New observations New 95% PI 95% CI Obs Fit SE Fit 1 9.155 0.723 (7.672, 10.638) (1.560, 16.749) Values of Predictors for New Observations New Obs NotherEd 1 10.0