In an earlier 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 for the following cities that were not included in the original data set:
- Detroit (Lat: 42.33 degrees north)
- Albuquerque (Lat: 35.09 degrees north)
- Nome (Lat: 64.50 degrees north)
- Your own location (if available)
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Draw points that represent the predicted temperatures for each city on the scatter plot.
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The actual average high temperature in September in these cities were:
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Detroit: 74 degrees Fahrenheit
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Albuquerque: 82 degrees Fahrenheit
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Nome: 49 degrees Fahrenheit
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Your own location (if available):
How well does your model predict the temperature? Compare the predicted and actual temperatures.
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If you added the actual temperatures for these 4 cities to the scatter plot, would you move your line?
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Are there any outliers in the data? What might be the explanation?