Given following data set,

x 1 1 2 3 5

y 2 5 3 4 9

Notice that just answer won't be accepted. Show all work for full credit.

(a) Find the value of the linear correlation coefficient

(b) Find the regression equation of the line, ^y = b0 + b1x

(c) Find predicted value when x=4.

(d) Use a 0.05 significance level to test the claim that there is a linear relationship between two variables.

Set up a claim:

Find critical value(s):

Find testing value:

Conclusion: