(a) Draw a scatter diagram.

(b) Determine the value of r, rounded to the nearest thousandth.

(c) Determine whether a correlation exists at α = 0.05.

(d) Determine whether a correlation exists at a = 0.01

x . . . . . . . . . y

12 . . . . . . . . 15

16 . . . . . . . . 19

13 . . . . . . . . 45

24 . . . . . . . . 30

100 . . . . . . . . 60

50 . . . . . . . . . 28