An electric utility wishes to examine the relationship between temperature and electricity use in its service region during the summer months. The bivariate data below give the maximum temperature (denoted by , in degrees Fahrenheit) and the electricity use (denoted by , in thousands of kilowatt hours) for a random sample of fifteen summer days. The data are shown in the Figure 1 scatter plot. Also given is the product of the temperature and the electricity use for each of the fifteen days. (These products, written in the column labelled "", may aid in calculations.)
Temperature,
(in degrees Fahrenheit) Electricity use,
(in thousands of kilowatt hours)
82.7 315.5 26,091.85
89.9 326.7 29,370.33
82.0 322.6 26,453.2
95.6 333.1 31,844.36
89.6 303.0 27,148.8
91.9 344.0 31,613.6
71.8 291.5 20,929.7
72.1 235.3 16,965.13
97.5 382.3 37,274.25
96.5 297.7 28,728.05
84.6 354.7 30,007.62
69.7 275.8 19,223.26
95.7 347.8 33,284.46
82.9 254.7 21,114.63
75.1 291.4 21,884.14
What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a .)
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