Statistics
Scatterplots and Correlation worksheets
Construct and read labeled scatterplots from actual paired observations, calculate Pearson r, and interpret linear association without claiming causation.
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Linear Regression and Residuals worksheets
Fit ordinary least-squares lines with intercepts, predict responses, calculate observed-minus-predicted residuals, and identify extrapolation.
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Fit an ordinary least-squares line with an intercept from the displayed pairs. Keep full precision until the final answer; residual equals observed y minus predicted y.
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Customize this worksheetKeep the paired observations visible
Every plot and calculation comes from the labeled x and y table printed beside it. Construction tasks keep the student plot blank, while reading tasks provide the actual point cloud and worked keys complete each requested diagram.
Learning objective
What this activity builds
Compute and interpret an OLS line from paired data, use it carefully for prediction, and calculate residuals with the correct sign.
Worked example
A fitted line is y-hat = 5 + 2x, and the observed value at x = 4 is 11. Find the residual.
11 - (5 + 2(4)) = -2.
Residual is observed minus predicted, so a negative residual lies below the fitted line.
Teaching notes
Make the practice count
- Compute Sxx and Sxy from the displayed observations before finding the slope.
- Keep unrounded coefficients for predictions and residuals.
- Mark predictions outside the observed x range as extrapolation.
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Choose paired-observation count, line-fitting/prediction/residual/interpretation tasks, and problem count. Keep the seed to reproduce the same worksheet.
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