Name: ______Residuals Notes & Worksheet
AP Statistics
x / y2 / 1
3 / 4
5 / 6
6 / 5
7 / 9
9 / 8
10 / 11
1. Plot the scatterplot for the points above.
2. Find the LSRL and correlation coefficient. (Round to 4 decimal places)
= ______r = ______
3. Use the LSRL to calculate the predicted (fitted) value for each x-value. Fill in the chart above.
4. Calculate the residuals () and fill in the chart above.
5. Create a residual plot by plotting a scatterplot of the 6. Create another residual plot by plotting
x-values on the horizontal axis and the residuals on the the -values on the horizontal axis and the
vertical axis. residuals on the vertical axis.
7. What do you notice about these two residual plots?
8. Is the LSRL from question 2 an appropriate model for this data? Explain.
One measure of the success of knee surgery is post-surgical range of motion for the knee joint following a knee dislocation.
Age 45 40 31 28 26 16 14 20 21
Range of Motion 205 137 133 122 135 135 108 120 127
9. Sketch a scatterplot of this data and calculate the LSRL.
Plot the LSRL on your scatterplot.
= ______
10. Does there appear to be an influential point? IF so, which one?
11. Remove the point from your list. Sketch a scatterplot of this
data and calculate the LSRL. Plot the LSRL on your scatterplot.
= ______r = _____ r2 = ______
12. Would you consider this point influential? Explain.
13. Write interpretations, in context, for the slope, r & r2 for question 11.
14. Which of these measures would be considered resistant? (LSRL, correlation coefficient (r), or coefficient of determination (r2))