City officials believe that the number of complaints to the city's heat complaint control board (for lack of heat) is directly related to the outdoor temperature. The following data have been collected: Number of complaints to Heat Control Board (24-hour period), y Outdoor Temperature, x 30°F 25°F 20°F 15ºF 10°F 5ºF 0°F 58 67 84 90 102 113 127 a. Determine the correlation coefficient between the outdoor temperature and the number of complaints. Is it reliable? b. Determine the least-squares prediction equation. c. What is the predicted number of complaints to the city's heat complaint control board when the outside temperature drops to 8°F?
City officials believe that the number of complaints to the city's heat complaint control board (for lack of heat) is directly related to the outdoor temperature. The following data have been collected: Number of complaints to Heat Control Board (24-hour period), y Outdoor Temperature, x 30°F 25°F 20°F 15ºF 10°F 5ºF 0°F 58 67 84 90 102 113 127 a. Determine the correlation coefficient between the outdoor temperature and the number of complaints. Is it reliable? b. Determine the least-squares prediction equation. c. What is the predicted number of complaints to the city's heat complaint control board when the outside temperature drops to 8°F?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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![City officials believe that the number of complaints to the city's heat complaint control board
(for lack of heat) is directly related to the outdoor temperature. The following data have been
collected:
Number of complaints to Heat Control Board
(24-hour period), y
Outdoor Temperature, x
30°F
25°F
20°F
15ºF
10°F
5ºF
0°F
58
67
84
90
102
113
127
a. Determine the correlation coefficient between the outdoor temperature and the
number of complaints. Is it reliable?
b. Determine the least-squares prediction equation.
c. What is the predicted number of complaints to the city's heat complaint control board
when the outside temperature drops to 8°F?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9ca0fe0-8326-4567-9bb6-5d60d0a741b4%2Ffa185874-253a-4fb2-855a-04871b215bd0%2Fjb15s8b_processed.png&w=3840&q=75)
Transcribed Image Text:City officials believe that the number of complaints to the city's heat complaint control board
(for lack of heat) is directly related to the outdoor temperature. The following data have been
collected:
Number of complaints to Heat Control Board
(24-hour period), y
Outdoor Temperature, x
30°F
25°F
20°F
15ºF
10°F
5ºF
0°F
58
67
84
90
102
113
127
a. Determine the correlation coefficient between the outdoor temperature and the
number of complaints. Is it reliable?
b. Determine the least-squares prediction equation.
c. What is the predicted number of complaints to the city's heat complaint control board
when the outside temperature drops to 8°F?
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