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 is the product of the temperature and the electricity use for each of the fifteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, X (in degrees Fahrenheit) Electricity use, y (in thousands of kilowatt hours) 275.1 348.8 305.2 295.3 361.9 237.5 365.3 267.7 294.6 313.6 310.0 320.1 345.6 389.1 303.2 70.0 92.9 89.7 76.1 84.6 73.6 94.8 82.8 98.0 90.7 70.3 81.7 95.5 97.3 82.2 Send data to calculator xy 19,257 32,403.52 27,376.44 22,472.33 30,616.74 17,480 34,630.44 22,165.56 28,870.8 28,443.52 21,793 26,152.17 33,004.8 37,859.43 24,923.04 Electricity use (in thousands of kilowatt hours) X 400+ 375+ 350+ 325- 300- 275+ 250+ 225- Figure 1 80 85 90 95 100 Temperature (in degrees Fahrenheit) What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 0
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 is the product of the temperature and the electricity use for each of the fifteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, X (in degrees Fahrenheit) Electricity use, y (in thousands of kilowatt hours) 275.1 348.8 305.2 295.3 361.9 237.5 365.3 267.7 294.6 313.6 310.0 320.1 345.6 389.1 303.2 70.0 92.9 89.7 76.1 84.6 73.6 94.8 82.8 98.0 90.7 70.3 81.7 95.5 97.3 82.2 Send data to calculator xy 19,257 32,403.52 27,376.44 22,472.33 30,616.74 17,480 34,630.44 22,165.56 28,870.8 28,443.52 21,793 26,152.17 33,004.8 37,859.43 24,923.04 Electricity use (in thousands of kilowatt hours) X 400+ 375+ 350+ 325- 300- 275+ 250+ 225- Figure 1 80 85 90 95 100 Temperature (in degrees Fahrenheit) What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 is the product of the temperature and the
electricity use for each of the fifteen days. (These products, written in the column labelled "xy", may aid in
calculations.)
Temperature,
☐
(in degrees
Fahrenheit)
Electricity
use, y
(in thousands
of kilowatt
hours)
275.1
348.8
305.2
295.3
361.9
237.5
365.3
267.7
294.6
313.6
310.0
320.1
345.6
389.1
303.2
70.0
92.9
89.7
76.1
84.6
73.6
94.8
82.8
98.0
90.7
70.3
81.7
95.5
97.3
82.2
Send data to calculator
xy
19,257
32,403.52
27,376.44
22,472.33
30,616.74
17,480
34,630.44
22,165.56
28,870.8
28,443.52
21,793
26,152.17
33,004.8
37,859.43
24,923.04
Electricity use
X
kilowatt hours)
(in thousands
400+
375+
350+
325+
300+
275+
250-
225
Figure 1
70 75
80
85 90 95 100
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four
decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
Temperature
(in degrees Fahrenheit)
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