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 y answer to at least two decimal places. (If necessary, consult a list of formulas.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
icon
Related questions
Question
100%
An elecu ility 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 sixteen 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 sixteen days. (These products, written in the column labelled "xy", may aid in calculations.)
Electricity
Temperature,
use, y
(in thousands
of kilowatt
xy
(in degrees
Fahrenheit)
hours)
97.0
300.7
29,167.9
400-
89.2
304.2
27,134.64
375+
99.4
385.0
38,269
75.9
284.1
21,563.19
350-
71.4
274.3
19,585.02
325-
77.8
283.3
22,040.74
300-
83.9
263.4
22,099.26
275-
73.5
231.1
16,985.85
250-
81.0
325.8
26,389.8
225-
82.2
296.3
24,355.86
72.4
292.0
21.140.8.
Electricity use
(In thousands of kilowatt hours)
Transcribed Image Text:An elecu ility 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 sixteen 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 sixteen days. (These products, written in the column labelled "xy", may aid in calculations.) Electricity Temperature, use, y (in thousands of kilowatt xy (in degrees Fahrenheit) hours) 97.0 300.7 29,167.9 400- 89.2 304.2 27,134.64 375+ 99.4 385.0 38,269 75.9 284.1 21,563.19 350- 71.4 274.3 19,585.02 325- 77.8 283.3 22,040.74 300- 83.9 263.4 22,099.26 275- 73.5 231.1 16,985.85 250- 81.0 325.8 26,389.8 225- 82.2 296.3 24,355.86 72.4 292.0 21.140.8. Electricity use (In thousands of kilowatt hours)
300-
83.9
263.4
22,099.26
275
73.5
231.1
16,985.85
250
81.0
325.8
26,389.8
82.2
296.3
24,355.86
225-
72.4
292.0
21,140.8
70
75
80
85
90
95
100
94.0
357.0
33,558
Temperature
(in degrees Fahrenheit)
84.7
355.2
30,085.44
93.0
356.8
33,182.4
Figure 1
97.1
337.1
32,732.41
90.0
316.0
28,440
Send data to calculator
)(Send data to Excel
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 you
answer to at least two decimal places. (If necessary, consult a list of formulas.)
Electriclt
(In thousands of
Transcribed Image Text:300- 83.9 263.4 22,099.26 275 73.5 231.1 16,985.85 250 81.0 325.8 26,389.8 82.2 296.3 24,355.86 225- 72.4 292.0 21,140.8 70 75 80 85 90 95 100 94.0 357.0 33,558 Temperature (in degrees Fahrenheit) 84.7 355.2 30,085.44 93.0 356.8 33,182.4 Figure 1 97.1 337.1 32,732.41 90.0 316.0 28,440 Send data to calculator )(Send data to Excel 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 you answer to at least two decimal places. (If necessary, consult a list of formulas.) Electriclt (In thousands of
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill