A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: Cups of coffee (n) People (P) 1 1 2 3 4 4 5 5 20 21 19 15 13 14 12 11 Unless otherwise stated, you can round values to two decimal places. a. Using regression to find a linear equation for P(n): P(n)- b. Find the correlation coefficient r =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A particular professor has noticed that the number of people, P, who complain about his attitude is
dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the
following data:
Cups of coffee (n)
People (P)
2
1
20 21 19
3 4 4 5 5
15 13 14 12 11
Unless otherwise stated, you can round values to two decimal places.
a. Using regression to find a linear equation for P(n):
P(n) = [
b. Find the correlation coefficient r=
c. Does the correlation coefficient indicate a strong linear trend, a weak linear trend, or no linear trend?
strong linear trend
weak linear trend
no linear trend
nonlinear trend
d. Use your model to predict the number of people that will complain about his attitude if he drinks 8 cups of
coffee.
Transcribed Image Text:0 A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: Cups of coffee (n) People (P) 2 1 20 21 19 3 4 4 5 5 15 13 14 12 11 Unless otherwise stated, you can round values to two decimal places. a. Using regression to find a linear equation for P(n): P(n) = [ b. Find the correlation coefficient r= c. Does the correlation coefficient indicate a strong linear trend, a weak linear trend, or no linear trend? strong linear trend weak linear trend no linear trend nonlinear trend d. Use your model to predict the number of people that will complain about his attitude if he drinks 8 cups of coffee.
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