Q1) Many researchers at northeast southwestern state university were interested in using locations latitude to forecast its January temperature.  Data was gathered for 55 large U.S. cities.  Mean latitude for these cities was 39.02, with a standard deviation of 5.42.  The mean January temperature for these cities was 26.44 F, with standard deviation of 13.49F.  Correlation between latitude and January temperatures was -0.848.

i) Determine regression line for predicting January temperature from latitude.

ii) Interpret value of slope for this regression.

iii) Latitude of LA is 34. Detrmine the predicted mean January temperature here.

Q2) Southernmost city in US has a latitude of 25.  Assume someone wished to use this model to forecast average January temperature for cities in south America located on equator. (Latitude of 0). Do you feel this model is suitable for such predictions? Describe why or why not?