As people age they begin to experience hearing loss. A study was done to determine the 'comfort level' of sound for people of different ages. The data are given below: Age (years) Comfort Level (decibels) 15 25 35 45 55 65 75 85 56 57 64 64 68 74 78 85 Note: Σx 400 , Σy-546 , Σ- 4200, ΣΥ-37986, Σw-290 10 %3D a) Calculate the linear correlatiof coefficient, r. b) Calculate the line-of-best-fit (linear prediction line.) c) If a person is 60 years of age, what do you predict the 'comfort level’ of sound would

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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As people age they begin to experience hearing loss. A study was done to
determine the 'comfort level' of sound for people of different ages. The data are given
below:
Age (years)
Comfort Level (decibels)
15
25
35
45
55
65
75
85
56
57
64
64
68
74
78
85
Note: Σx 400 , Σy-546 , Σ-24200, ΣΥ-37986 , Σw-29010
a) Calculate the linear correlatior coefficient, r.
b) Calculate the line-of-best-fit (linear prediction line.)
c) If a person is 60 years of age, what do you predict the 'comfort level' of sound would
be?
Transcribed Image Text:As people age they begin to experience hearing loss. A study was done to determine the 'comfort level' of sound for people of different ages. The data are given below: Age (years) Comfort Level (decibels) 15 25 35 45 55 65 75 85 56 57 64 64 68 74 78 85 Note: Σx 400 , Σy-546 , Σ-24200, ΣΥ-37986 , Σw-29010 a) Calculate the linear correlatior coefficient, r. b) Calculate the line-of-best-fit (linear prediction line.) c) If a person is 60 years of age, what do you predict the 'comfort level' of sound would be?
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