These data give the average daily maximum temperatures in April for various cities in North America, and the corresponding latitudes in degrees and minutes north.

a. Find the equation of the least squares line. Let x represent the latitude, and let y represent the temperature. (You will need to convert the latitudes to decimal degrees; for example,

b. What is an appropriate domain for this model?
c. Which cities do not appear to follow the pattern? Give a reason for each of these cases.
d. Choose two cities not on the list, and find the latitude of each. Use your model to predict the average daily maximum temperature in April for each city. Compare your result with the official average April temperature for the city. (An almanac is a good source for this information.)

Temp. (%) 87 73 50 74 City Acapulco, Mex. Bakersfield, CA Caribou, ME Charleston, SC Chicago, IL Dallas, TX Denver, CO Duluth, MN Great Falls, MT Juneau, AhK Kansas City, MO Los Angeles, CA Lat. 16 51 35 26 46 5 32 54 41 59' 32 54 3946 46 50 4729 5818 391 33 56 City Mexico City, Mex Mlami, FL New Orleans, LA New York City, NY 40 47 Ottawa, Ont. Phoenix, AZ Quebec, Que Salt Lake City, UT San Francisco, CA37 37 Seattle, WA Vancouver, BC Washington, DC Lat. Temp. (F) 1925* 25 49 295 78 7 75 54 52 56 39 59 69 46 26 33 26 46 48 40 47 51 83 45 58 65 56 58 47 27 49 1 3851 3526-3535.43*)