1.1: Temperature Changes
What factors or variables can influence the outside temperature?

Make a list of different factors.

Write a sentence for each factor describing how changing it could change the temperature.
Let’s see if we can predict the weather.
What factors or variables can influence the outside temperature?
Make a list of different factors.
Write a sentence for each factor describing how changing it could change the temperature.
Andre and Lin are wondering if temperature is a function of latitude.
Andre says, “I think it is, as long as we fix the time when we are measuring the temperature.”
Lin says, “But what if you have two places with the same latitude? Look at this weather map for Washington State. Seattle and Spokane have the same latitude but different temperatures right now.”What do Andre and Lin mean?
Finding the temperature right now in cities with different latitudes.
Finding the daily high temperature at cities that have different latitudes.
Finding the average high temperature in a specific month, e.g., September, at cities that have different latitudes.
Finding the average yearly temperature at cities that have have different latitudes.
Lin and Andre decided that modeling temperature as a function of latitude doesn’t really make sense. They realized that they can ask whether there is an association between latitude and temperature.
What information could they gather to determine whether temperature is related to latitude?
What should they do with that information to answer the question?
What do you notice? What do you wonder?
Examine the data in the table.
city  latitude (degrees north)  average high temperature in September (degrees F)  

row 1  Atlanta, GA  33.38  82 
row 2  Portland, ME  43.38  69 
row 3  Boston, MA  42.22  73 
row 4  Dallas, TX  32.51  88 
row 5  Denver, CO  39.46  77 
row 6  Edmonton, AB  53.34  62 
row 7  Fairbanks, AK  64.48  55 
row 8  Juneau, AK  58.22  56 
row 9  Kansas City, MO  39.16  78 
row 10  Lincoln, NE  40.51  77 
row 11  Miami, FL  25.45  88 
row 12  Minneapolis, MN  44.53  71 
row 13  New York City, NY  40.38  75 
row 14  Orlando, FL  28.26  90 
row 15  Philadelphia, PA  39.53  78 
row 16  San Antonio, TX  29.32  89 
row 17  San Francisco, CA  37.37  74 
row 18  Seattle, WA  47.36  69 
row 19  Tampa, FL  27.57  89 
row 20  Tucson, AZ  32.13  93 
row 21  Yellowknife, NT  62.27  50 
Make a scatter plot of the data. Describe any patterns of association that you notice.
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:
Detroit (Lat: 42.14)
Albuquerque (Lat: 35.2)
Nome (Lat: 64.5)
Your own city (if available)
Draw points that represent the predicted temperatures for each city on the scatter plot.
Detroit: $74^\circ$ F
Albuquerque: $82^\circ$ F
Nome: $49^\circ$ F
Your own city (if available):
How well does you model predict the temperature? Compare the predicted and actual temperatures.
If you added the actual temperatures for these four cities to the scatter plot, would you move your line?
Are there any outliers in the data? What might be the explanation?
Refer to your equation for the line that models the association between latitude and temperature of the cities.