http://www.ck12.org Chapter 15. Concepts of Statistics
5.1786 hours and 11.7246 hours are the number hours of sleep that predict a score of 1500.
When using the model in this direction, the results do not make as much sense and you need to be extremely careful
about what you say.
e. The actual score for someone who got 6 hours of sleep can be found in the original data to be 1720. The model
predicts 1627.9970. The difference between the model and what actually happened is 1720− 1627. 9970 = 92. 0030
Example C
Use your knowledge of function families to predict the best model for each of the following scatterplots.
Solution:
Concept Problem Revisited
For some data sets it is possible to use a polynomial or other complicated shape to exactly intersect every data point.
The downside is that the model will miss the overall relationship. Consider the following data and modeling a linear
relationship or cubic relationship.