AP Statistics 5.3: Linear Regression Models
Use a linear regression model to calculate predicted responses and distinguish reliable interpolation from less reliable extrapolation.
- Syllabus
- Effective Fall 2025
- Course
- AP Statistics
Use a linear regression model to calculate predicted responses and distinguish reliable interpolation from less reliable extrapolation.
A student measured the heights and the arm spans, rounded to the nearest inch, of each person in a random sample of 12 seniors at a high school. A scatterplot of arm span versus height for the 12 seniors is shown.

Using the best model for prediction, calculate the predicted arm span for a senior with height 61 inches.
Part (c):
The predicted arm span is y^=11.74+0.8247x=11.74+0.8247(61)=62.05 inches.