Question

For the data below, determine the value of the linear correlation coefficient r between y and x²

x	1.2	2.7	4.4	6.6	9.5
y	1.6	4.7	9.9	24.5	39.0

A) 0.985

B) 0.913

C) 0.990

D) 0.873

Please show all work. Thank you.

Answer 1

X Values
∑ = 24.4
Mean = 4.88
∑(X - Mx)2 = SSx = 42.828

Y Values
∑ = 79.7
Mean = 15.94
∑(Y - My)2 = SSy = 973.492

X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 201.434

R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 201.434 / √((42.828)(973.492)) = 0.985

Hence answer here is

A) 0.985