Use the dataset temperature on the companion website. A portion of this dataset was presented in given Exercise, in which the relationship between mean August temperature and geographic latitude was analyzed. For predicting mean April temperature (AprTemp), which of these two variables in the dataset is a stronger predictor: geographic latitude (latitude) or mean January temperature (JanTemp)? Support your answer with relevant statistics and plots.
Exercise
The data in the following table are the geographic latitudes and the average August and January temperatures (Fahrenheit) for 20 cities in the United States. The cities are listed in geographic order from south to north. (These data are part of the temperature dataset on the companion website.)
a. Draw a scatterplot of y = August temperature versus x = latitude.
b. Is the pattern linear or curvilinear? What is the direction of the association?
c. Are there any cities that appear to be outliers because they don't fit the pattern of the rest of the data? If so, which city or cities are they?