Available under Creative Commons-ShareAlike 4.0 International License. Download for free at http://cnx.org/contents/733d1554-5d75-4798-9e54-7dcdc1ee5690@5.40
Solution to Example 6.11, Problem 2
The x values in the data are between 65 and 75. 90 is outside of the domain of the observed x values in the data (independent variable), so you cannot reliably predict the final exam score for this student. (Even though it is possible to enter x into the equation and calculate a y value, you should not do so!)
To really understand how unreliable the prediction can be outside of the observed x values in the data, make the substitution x = 90 into the equation.
The final exam score is predicted to be 261.19. The largest the final exam score can be is 200.
Note: The process of predicting inside of the observed x values in the data is called interpolation. The process of predicting outside of the observed x
values in the data is called extrapolation.
- 1622 reads
