# Which Model Makes Sense?

### Resources for this lesson:

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) Height of the Projectile (feet) 0 0.5 1 1.5 2 2.5 3 5 26.5 38 44 40 29.5 11.5

Velocity of Projectile vs. Time

 Time (seconds) Velocity (feet per second) 0 0.5 1 1.5 2 2.5 3 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.