The error term for a single data point is written as the observed y minus the:
AThe predicted y value
BMean of all y values
CMedian of y values
DLargest y value
Answer & Solution
Correct answer: A. The predicted y value
1. Residuals are measured vertically from the point to the line.
2. Each data point has the form (x, y) and the corresponding point on the line has the form (x, y-hat).
3. The term y0 minus y-hat0 is called the error or residual.
4. So the subtraction is the observed value minus the predicted value at the same x.
5. Subtracting the mean instead would give a deviation, which is a different quantity.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 12 'Linear Regression and Correlation', sections 12.1-12.6_
Keep practising Linear Regression and Correlation
Browse all Linear Regression and Correlation questions for AP Statistics, or explore more Statistics topics.
Related questions
Complete the regression rulesFit a regression line in orderTrue or false: regressionScatter plot or residuals plot?Match each regression termInterpreting the slope b in a fitted line means reading it as the change in y for:An outlier in a regression analysis shows up in a residuals plot as a point that is:Least-squares regression earns its name because the fitting rule minimises the sum of the