Question

Questions 6 to 10 are based on the problem below:

Compute the Pearson Correlation Coefficient, r, for the following data

X	Y
2	3
3	1
6	5
4	4
5	2

The Pearson Correlation, r is

Answer 1

Solution:

X	Y	XY	X^2	Y^2
2	3	6	4	9
3	1	3	9	1
6	5	30	36	25
4	4	16	16	16
5	2	10	25	4

n	5
sum(XY)	65.00
sum(X)	20.00
sum(Y)	15.00
sum(X^2)	90.00
sum(Y^2)	55.00
Numerator	25.00
Denominator	50.00
r	0.5000
r square	0.2500
Xbar(mean)	4.0000
Ybar(mean)	3.0000
SD(X)	1.4142
SD(Y)	1.4142
b	0.5000
a	1.0000

r = 0.5000

The Pearson Correlation, r is 0.5000