Given the following quantities, find the sample correlation coefficient, r, and test H0 : = 0

Given the following quantities, find the sample correlation coefficient, r, and test H0 : ρ = 0 at the indicated level.

(a) n = 27, (Yi −Y¯)

2 = 100, (Xi −X¯)

2 = 625,

(Xi −X¯)(Yi −Y¯) = 200, α = .01.

(b) n = 5, (Yi −Y¯)

2 = 16, (Xi −X¯)

2 = 25,

(Xi −X¯)(Yi −Y¯) = 10, α = .05.