# Which Model Makes Sense?

### Resources for this lesson:

You will use your Algebra II Journal on this page.

> Glossary

> Calculator Resources

> Teacher Resources: Instructional Notes

Let’s check your understanding of modeling data sets with functions.

Marissa and her friend Khalid are gathering experimental data in physics class. They have a camera and laptop set to collect and record data as they throw a ball across the field. The camera collects the following data:**Height (Vertical Position) of the Projectile vs. Time**

Time (seconds) |
0 |
0.5 |
1 |
1.5 |
2 |
2.5 |
3 |
---|---|---|---|---|---|---|---|

Height of the Projectile (feet) |
5 |
26.5 |
38 |
44 |
40 |
29.5 |
11.5 |

**Velocity of Projectile vs. Time**

Time (seconds) |
0 |
0.5 |
1 |
1.5 |
2 |
2.5 |
3 |
---|---|---|---|---|---|---|---|

Velocity (feet per second) |
49 |
34 |
19 |
2.5 |
−14 |
−30.5 |
−45 |

## Real-Life Scenarios

> Text version for Real-Life Scenario

## Algebra II Journal: Reflection 2

Respond to the following in your Algebra II Journal . Submit your response to your teacher before moving to the next page.

- Create a scatter plot for the Height vs. Time data and determine which function type (linear, exponential or quadratic) may be the best fit for the data set.
- Calculate and review the residual plot to determine if the model is the best fit. If you selected a linear model, analyze the correlation coefficient.
- Justify why the model you selected is the best fit for the Height vs. Time data.