What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

MATLAB: An Introduction with Applications
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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 x, in degrees Fahrenheit) and the electricity use (denoted by y, 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 are the products of the temperature values and values for electricity
use for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.)
Temperature, x Electricity use, y
(in degrees
Fahrenheit)
(in thousands of
kilowatt hours)
ху
71.4
275.4
19663.56
y
82.9
313.2
25964.28
400 +
97.4
389.6
37947.04
375+
89.6
319.0
28582.4
350 -
93.6
353.1
33050.16
75.7
289.0
21877.3
325
XX
92.9
352.9
32784.41
300-
71.5
234.5
16766.75
2751
81.3
319.6
25983.48
250
69.0
290.8
20065.2
X
95.1
334.3
31791.93
225
83.1
353.6
29384.16
76 86 85 96 9 100
96.4
304.6
29363.44
90.4
319.4
28873.76
Figure 1
83.5
265.0
22127.5
Send data to calculator
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a
list of formulas.)
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
decimal places.
Transcribed Image Text: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 x, in degrees Fahrenheit) and the electricity use (denoted by y, 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 are the products of the temperature values and values for electricity use for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.) Temperature, x Electricity use, y (in degrees Fahrenheit) (in thousands of kilowatt hours) ху 71.4 275.4 19663.56 y 82.9 313.2 25964.28 400 + 97.4 389.6 37947.04 375+ 89.6 319.0 28582.4 350 - 93.6 353.1 33050.16 75.7 289.0 21877.3 325 XX 92.9 352.9 32784.41 300- 71.5 234.5 16766.75 2751 81.3 319.6 25983.48 250 69.0 290.8 20065.2 X 95.1 334.3 31791.93 225 83.1 353.6 29384.16 76 86 85 96 9 100 96.4 304.6 29363.44 90.4 319.4 28873.76 Figure 1 83.5 265.0 22127.5 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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