Winter in the city Summary statistics for the data relat-ing the latitude and average January temperature for 55 large U.S. cities are given below. a) What percent of the variation in January Temperaturescan be explained by variation in Latitude?b) What is indicated by the fact that the correlation isnegative? c) Write the equation of the line of regression for predict-ing January Temperature from Latitude. d) Explain what the slope of the line means.e) Do you think the y-intercept is meaningful? Explain.f) The latitude of Denver is 40° N. Predict the meanJanuary temperature there.g) What does it mean if the residual for a city is positive? Variable Mean StdDevLatitude 39.02 5.42JanTemp 26.44 13.49Correlation = -0.848

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Winter in the city Summary statistics for the data relat-
ing the latitude and average January temperature for 55
large U.S. cities are given below.
a) What percent of the variation in January Temperatures
can be explained by variation in Latitude?
b) What is indicated by the fact that the correlation is
negative?
c) Write the equation of the line of regression for predict-
ing January Temperature from Latitude.
d) Explain what the slope of the line means.
e) Do you think the y-intercept is meaningful? Explain.
f) The latitude of Denver is 40° N. Predict the mean
January temperature there.
g) What does it mean if the residual for a city is positive?
Variable Mean StdDev
Latitude 39.02 5.42
JanTemp 26.44 13.49
Correlation = -0.848
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