Open your copy of Hybrid CO2 Models Starter File and click "Run".

Building a hybrid model for the modern-table

Both periodic-sin and periodic-cos models are built to follow a horizontal midline with the equation f(x) = 419.87.

1 What line do we wish the model would follow instead?

2 Find hybrid-modern in the starter file and define it using function composition.

Hint: Like periodic-sin2 this function will use wave-sin. What will it use instead of midline-sin?

3 Fit hybrid-modern to the modern-table, and describe what you see:

Comparing Models

4 What S-value describes the expected error in our hybrid-modern model for this data? S-value y-units

5 What S-value describes the expected error in our linear-modern model for this data? S-value y-units

6 How much more / less error do we expect in predictions made using hybrid-modern than with the linear-modern model?

Percent Change   =   $$\displaystyle \frac{  \text{Difference}   \text{between}   \text{the}   \text{S-values} } {\text{S-value}   \text{for}   \text{linear}   \text{model}} \times 100   =  $$ $$\displaystyle \frac{\qquad}{\qquad}$$

We expect percent more / less error from predictions made with hybrid-modern than with linear-modern model!

Interpreting the Hybrid Model

This model predicts that:

  • The overall trend will be a(n) increase/decrease of rate of change x-variable every x-units.

  • Within this trend, the data fluctuates following a periodic pattern that rises and falls around this midline.
    The wave has an amplitude of amplitude and repeats every period x-units.

The error in the model is described by an S-value of about Sy-units. I strongly agree, agree, disagree, strongly disagree that this model is a good fit considering that y-variable in this dataset ranges from about lowest y-value to highest y-value.

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). CCbadge Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting contact@BootstrapWorld.org.