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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,