1. Consider the following data.

x y

6 6

1 7

3 3

2 2

5 14

(a) Make a scatter plot of the data. Look at the plot and answer the following

questions. (You do not have to print this graph.) Does there there appear to be

a relationship between X and Y? Is it linear or nonlinear? Is it weak or strong?

(b) Compute the sample correlation coeficient.

(c) Is there evidence of a signicant linear relationship? Answer this question by testing the null hypothesis H0 : = 0 against the alternative hypothesis H0 : 6= 0 with alpha = 0:05.