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In: Statistics and Probability

1. A regression was done for 20 cities with the latitude (Latitude), a measurement of the...

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.

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