hs since January 1st. Month Average high temperatu can model this with a periodic function of the
hs since January 1st. Month Average high temperatu can model this with a periodic function of the
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
Related questions
Question
![The average high temperatures (in degrees Fahrenheit) for the city of Phoenix each month are given in the table below, where t is the number of
months since January 1st.
012 3 4 5 6 7 8 9 10 11
Average high temperature 67 71 77 85 95 104 106 105 100 89 76 66
Month
You can model this with a periodic function of the form
2n
H = A sin(t) + B cos(
t) +C
where P is the period (which is 12 months in this case).
a) Use regression and RStudio to find the best fit formula of this form.
sin(等り+ cos(部り+1 ]
cos(#t)+
H =
b) How far off (in degrees Fahrenheit) is the high temperature predicted by your model in June from the actual average high temperature in
June?
Answer. degrees Fahrenheit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90f6538a-55f5-44ce-9152-b625edd78bfa%2F0be59fcc-7202-4119-acc4-8a4101808e41%2Fr23gs4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The average high temperatures (in degrees Fahrenheit) for the city of Phoenix each month are given in the table below, where t is the number of
months since January 1st.
012 3 4 5 6 7 8 9 10 11
Average high temperature 67 71 77 85 95 104 106 105 100 89 76 66
Month
You can model this with a periodic function of the form
2n
H = A sin(t) + B cos(
t) +C
where P is the period (which is 12 months in this case).
a) Use regression and RStudio to find the best fit formula of this form.
sin(等り+ cos(部り+1 ]
cos(#t)+
H =
b) How far off (in degrees Fahrenheit) is the high temperature predicted by your model in June from the actual average high temperature in
June?
Answer. degrees Fahrenheit
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