4. From the regression equation, what is the predicted electricity use |(in thousands of kilowatt hours) when the temperature is 96.5 degrees Fahrenheit? (Round your answer to at least one decimal place.)

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O REGRESSION AND CORRELATION
Predictions from the least-squares regressio.
OC OO D
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 sixteen
summer days. A best-fitting line for the data, obtained from least-
squares regression, is given by =53.28 + 3.07.x, in which x denotes the
maximum temperature and y denotes the electricity use. This line is
shown in the Figure 1 scatter plot.
Temperature, x Electricity use, y
(in degrees
Fahrenheit)
(in thousands of
kilowatt hours)
78.4
295.4
72.5
232.1
00-
72.7
276.8
94.5
363.4
375
94.8
335.6
350
81.6
322.0
325
83.2
262.9
76.1
292.8
89.5
314.3
275
92.4
351.2
250
84.9
354.4
225
71.1
300.0
88.3
320.9
98.6
381.1
Figure 1
80.8
302.6
97.5
306.2
Send data to Excel
Based on this information, answer the following:
1. Fill in the blank: For these data, values for electricity use that are
greater than the mean of the values for electricity use tend to be
paired with temperature values that are
temperature values.
the mean of the
greater than
2. According to the regression equation, for an increase of one degree
Fahrenheit in temperature, there is a corresponding increase of how
many thousands of kilowatt hours in electricity use?
3.07
3. From the regression equation, what is the predicted electricity use
(in thousands of kilowatt hours) when the temperature is 89.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)
349 535
4. From the regression equation, what is the predicted electricity use
Cin thousands of kilowatt hours) when the temperature is 96.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)
Explanation
Check
O 2021 McGraw-Hill Education. Al Rights Reserved. Terms of Use I Privacy Accessibility
Transcribed Image Text:10:56 AA www-awn.aleks.com O REGRESSION AND CORRELATION Predictions from the least-squares regressio. OC OO D 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 sixteen summer days. A best-fitting line for the data, obtained from least- squares regression, is given by =53.28 + 3.07.x, in which x denotes the maximum temperature and y denotes the electricity use. This line is shown in the Figure 1 scatter plot. Temperature, x Electricity use, y (in degrees Fahrenheit) (in thousands of kilowatt hours) 78.4 295.4 72.5 232.1 00- 72.7 276.8 94.5 363.4 375 94.8 335.6 350 81.6 322.0 325 83.2 262.9 76.1 292.8 89.5 314.3 275 92.4 351.2 250 84.9 354.4 225 71.1 300.0 88.3 320.9 98.6 381.1 Figure 1 80.8 302.6 97.5 306.2 Send data to Excel Based on this information, answer the following: 1. Fill in the blank: For these data, values for electricity use that are greater than the mean of the values for electricity use tend to be paired with temperature values that are temperature values. the mean of the greater than 2. According to the regression equation, for an increase of one degree Fahrenheit in temperature, there is a corresponding increase of how many thousands of kilowatt hours in electricity use? 3.07 3. From the regression equation, what is the predicted electricity use (in thousands of kilowatt hours) when the temperature is 89.5 degrees Fahrenheit? (Round your answer to at least one decimal place.) 349 535 4. From the regression equation, what is the predicted electricity use Cin thousands of kilowatt hours) when the temperature is 96.5 degrees Fahrenheit? (Round your answer to at least one decimal place.) Explanation Check O 2021 McGraw-Hill Education. Al Rights Reserved. Terms of Use I Privacy Accessibility
place.)
4. From the regression equation, what is the predicted electricity use
(in thousands of kilowatt hours) when the temperature is 96.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)
?
Transcribed Image Text:place.) 4. From the regression equation, what is the predicted electricity use (in thousands of kilowatt hours) when the temperature is 96.5 degrees Fahrenheit? (Round your answer to at least one decimal place.) ?
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