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) Cups of coffee (n)

12 1

10 2

10 2

7 3

7 3

8 4

6 4

5 5

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

a) Using regression to find a linear equation for the number ofPeoplewho complain. Round the values in the equation to two places.

P

P

=

b) Use your model to predict the number of people that will complain about his attitude if he drinks 1 cups of coffee. Round to two places.

c) 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. Round to the nearest cup.