Question

(c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) x 3 5 9

Answer 1

i)

Computational Table:

	X	Y	X2	Y2	XY
	3	4	9	16	12
	5	4	25	16	20
	9	5	81	25	45
Total	17	13	115	57	77

Now, find out correlation coefficient (r):

r = 0.945

ii)

Computational Table:

	X	Y	X2	Y2	XY
	4	3	16	9	12
	4	5	16	25	20
	5	9	25	81	45
Total	13	17	57	115	77

Now, find out correlation coefficient (r):

r = 0.945

Therefore, Correlation coefficient (r) for both the data set are same, i.e r = 0.945