Exploring Other Function Models
Resources for this lesson:
You will use your Algebra II Journal on this page.
> Glossary
> Calculator Resources
> Teacher Resources: Instructional Notes
With any model of best fit there is a caution. Even if the model is a nearly perfect fit, there may be limitations on the function to predict future values. In this case, Khalid will need to review more trends before concluding that the cost will rise to $25.29 in two months. It is possible, but it is also possible that this model is only appropriate for a restricted domain.
Let’s explore one more data set. For this scenario, you will simply be selecting potential models of best fit.
Real-Life Scenarios
> Text version for Real-Life Scenario
The growth of the trees is shown in the table below:
Age of Pine Tree (in years) |
Average Height of Tree (in feet) |
---|---|
1 |
5 |
2 |
8.5 |
3 |
12 |
4 |
14 |
5 |
15.5 |
6 |
16.5 |
7 |
17.25 |
Algebra II Journal: Reflection 2
Respond to the following reflection questions in your Algebra II Journal and submit to your teacher.
- Create a scatter plot for the data.
- Examine the scatter plot. Which possible models should you consider for a regression equation for this data set?