In: Statistics and Probability
1. A regression was done for 20 cities with the latitude (Latitude), a measurement of the distance of a location on the Earth from the equator in degrees and the average January temperatures (Temp) as the dependent variable measure in °F. The regression equation is
????=??.?−?.?? ×????????
a) What is the value of the slope? What does it mean in the
context of the problem?
b) If the coefficient of determination, ?2 = 66.2%, what does it
mean in the context of the problem? c) Calculate the temperature
for a latitude of 45 degrees.
d) If the actual average January temperature for a latitude of 45 degrees in theses 20 cities is 40°F, use part (c) to calculate the residual and state whether we have underestimated or overestimated.