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Keep students in the same groups of 3–4. If available, tell the students the latitude and average high temperature in September in their city.
Use Collect and Display to create a shared reference that captures students’ developing mathematical language. Collect the language students use to determine if the new data fits the model. Display words and phrases such as “close to the line,” “outlier,” “above the line,” and “lower than expected.”
In an earlier activity, you found the equation of a line to represent the association between latitude and temperature. This is a mathematical model.
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 degrees Fahrenheit
Albuquerque: 82 degrees Fahrenheit
Nome: 49 degrees Fahrenheit
Your own location (if available):
How well does your model predict the temperature? Compare the predicted and actual temperatures.
If you added the actual temperatures for these 4 cities to the scatter plot, would you move your line?
Are there any outliers in the data? What might be the explanation?