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:

 

People (P) 11 11 9 10 8 7 7 4
Cups of coffee (n) 1 1 2 3 3 4 4 5



Unless otherwise stated, you can round values to two decimal places.

a) Using regression to find a linear equation for P(n)

P(n)P(n) =    

b) Interpret the meaning of the slope of your formula in the context of the problem

 

c) Interpret the meaning of the P intercept in the context of the problem

 

d) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee.

   

e) Is the answer to part f reasonable? Why or why not?

 

f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.

 

ago in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

G(a) P(n)=12.75-1.52n

(b) The slope means that for each cup of coffee, there’s a reduction of 1.52 complaints. This implies that for every two cups of coffee there are about three fewer complaints.

(c) There will be about 13 complaints (12.75 in the model) if he doesn’t drink any coffee.

(d) The complaints drop below zero if he drinks 9 cups of coffee. The model goes negative, so perhaps he gets compliments instead of complaints!

(e) Yes, this is reasonable, because the model predicts no complaints if he drinks 8 or 9 cups of coffee.

(f) P(n)=0, n=12.75/1.52=8.4 cups.

ago by Top Rated User (804k points)
Hurray! You are back.

Related questions

1 answer
asked Jul 13, 2013 in Statistics Answers by Leon89 Level 1 User (160 points) | 359 views
1 answer
asked Mar 23, 2013 in Statistics Answers by Akilie Level 1 User (140 points) | 522 views
1 answer
asked Aug 11, 2014 in Statistics Answers by anonymous | 567 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,845 questions
91,604 answers
2,224 comments
15,949 users