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)10,10,9,9,6,6,6,6Cups of coffee (n)1,2,2,3,4,4,5,5

Unless otherwise stated, you canround values to two decimal places.

(a)Using regression to find a linear equation forP(n)

P

(

n

)

P(n)

=(b)Find the correlation coefficient.r

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

Correct

(d)Use your model to predict the number of people that will complain about his attitude if he drinks 10 cups of coffee.

(e)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.