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Unit 9 - Lesson 6 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 9
Lesson 6: Using and Interpreting a Mathematical Model
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 9
Lesson 6: Using and Interpreting a Mathematical Model
CC BY 2021 Illustrative Mathematics®

Using a Mathematical Model (Optional)

In the previous activity, you found the equation of a line to represent the association between latitude and temperature. This is a mathematical model.
Use your model to predict the average high temperature in September at the following cities
that were not included in the original data set:
1.

Detroit (Lat: 42.14)

2.

Albuquerque (Lat: 35.2)

3.

Nome (Lat: 64.5)

4.

Your own city (if available)

5.

Draw points that represent the predicted temperatures for each city on the scatter plot.

The actual average high temperature in September in these cities were:

  • Detroit: 74°F
  • Albuquerque: 82°F
  • Nome: 49°F
  • Your own city (if available):
6.

How well does your model predict the temperature? Compare the predicted and actual temperatures.

7.

If you added the actual temperatures for these four cities to the scatter plot, would you move your line?

8.

Are there any outliers in the data? What might be the explanation?