The Relationship Between Temperature and the Latitude and Longitude By: Angela Couture Jaime Frade Rita Argelo Abstract Question: Is there a relationship between temperature and global coordinates? Can latitude and longitude predict the temperature of that location? Answer: After analysis, latitude is a strong predictor of the temperature. 56 major cities that spanned across the US were chosen Each year, the daily min temp in January was tallied A monthly average was computed for each city This study will concentrate on temperatures collected in the US from 1931 to 1960 Data collection City, State Jan Temp Latitude Longitude Mobile, AL 44 31.2 88.5 Montgomery, AL 38 32.9 86.8 Phoenix, AZ 35 33.6 112.5 Little Rock, AR 31 35.4 92.8 Los Angeles, CA 47 34.3 118.7 San Francisco, CA 42 38.4 123.0 Denver, CO 15 40.7 105.3 New Haven, CT 22 41.7 73.4 Wilmington, DE 26 40.5 76.3 Washington, DC 30 39.7 77.5 Each city’s average temp was computed for the month of January Each city’s coordinates were recorded Preliminary Analysis Identify outliers in the data. Preliminary Analysis 75+ Jan.Temp- x x 50+ x x3 x xx x xx x x x xx2x x 25+ xx 22xx3 x x x xx 2xx x xx xx x x 2x x x 0+ xx ----+---------+---------+---------+---------+---------+--Latitude 25.0 30.0 35.0 40.0 45.0 50.0 Scatter plot for Latitude 75+ Jan.Tempx x 50+ x x xx x x x x x x x x 2 xxx x x x 25+ x 22xx x x x x x - x xx xx x x xx x x x 2 - xx x x x x 0+ x x --+---------+---------+---------+---------+---------+----Longitud 70 80 90 100 110 120 Scatter plot for Longitude Climate Cool Illustration Analysis of Variance The regression equation is Jan.Temp. = 109 - 2.11 Latitude Predictor Constant Latitude S = 7.156 Coef SE Coef 108.728 7.056 -2.1096 0.1794 R-Sq = 71.9% T P 15.41 0.000 -11.76 0.000 R-Sq(adj) = 71.4% Conclusion The temperature and latitude for each U.S. city has a strong negative linear association. In answer to our original research question, yes, it does appear that latitude is an adequate predictor of temperature in U.S. cities.