A particular professor has noticed that the number of people,P, who complain about his attitude is dependent on thenumber of cups of coffee, n, he drinks. From eight days oftracking he compiled the following data:
| People (P) | 10 | 11 | 9 | 9 | 8 | 6 | 7 | 5 |
|---|
| Cups of coffee (n) | 1 | 1 | 2 | 2 | 3 | 4 | 4 | 5 |
|---|
Unless otherwise stated, you can round values to two decimalplaces.
a) Using regression to find a linear equation forP(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
d) Interpret the meaning of the slope of your formula in thecontext of the problem
e) Interpret the meaning of the P intercept in the contextof the problem
f) Use your model to predict the number of people that willcomplain about his attitude if he drinks 10 cups of coffee.
g) Is the answer to part f reasonable? Why or why not?
h) How many cups of coffee should he drink so that no one willcomplain about his attitude? It is ok to round to one decimalplace.
