Calculate the correlation coefficient and interpret the result.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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2. According to World Health Organization (WHO), the recommended limit for a
noise level inside a classroom is 35 dBA. However, nine out of ten schools fail
to meet this recommendation. A researcher wishes to conduct a study relevant
to the prior information, but as a gap, he decides to include the area (in square
meters) of every classroom and how it could possibly affect the resulting noise
level. He selects 17 classrooms at random, and the noise levels are recorded in
the next slide. Calculate the correlation coefficient and interpret the result.
Transcribed Image Text:2. According to World Health Organization (WHO), the recommended limit for a noise level inside a classroom is 35 dBA. However, nine out of ten schools fail to meet this recommendation. A researcher wishes to conduct a study relevant to the prior information, but as a gap, he decides to include the area (in square meters) of every classroom and how it could possibly affect the resulting noise level. He selects 17 classrooms at random, and the noise levels are recorded in the next slide. Calculate the correlation coefficient and interpret the result.
Room
1
3
4
7
8.
Area
74.36
62.97
69.54
57.11
66.83
52.39
79.17
64.42
68.73
Noise
58.27
71.44
63.12
76.71
72.00
70.68
54.30
51.29
69.57
Level
Room
10
11
12
13
14
15
16
17
Area
75.99
81.31
51.65
64.18
71.92
67.41
73.25
58.04
Noise
53.47
60.62
73.84
69.88
53.27
72.06
59.13
75.20
Level
Transcribed Image Text:Room 1 3 4 7 8. Area 74.36 62.97 69.54 57.11 66.83 52.39 79.17 64.42 68.73 Noise 58.27 71.44 63.12 76.71 72.00 70.68 54.30 51.29 69.57 Level Room 10 11 12 13 14 15 16 17 Area 75.99 81.31 51.65 64.18 71.92 67.41 73.25 58.04 Noise 53.47 60.62 73.84 69.88 53.27 72.06 59.13 75.20 Level
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