The managers of an electric utility wish to examine the relationship between temperature and electricity use in the utility's service region during the summer months. In particular, the managers wish to be able to predict total electricity use for a day from the maximum temperature that day. The bivariate data below give the maximum temperature (in degrees Fahrenheit) and the electricity use (in thousands of kilowatt hours) of electricity generated and sold for a random sample of summer days. A best-fitting line for the data, obtained from least-squares regression, is given by =y+83.852.67x, in which x denotes the maximum temperature and y denotes the electricity use. This line is shown in the scatter plot below.
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