Question

In: Math

Here is a bivariate data set. x y 39 45 43 43 12 48 36 38...

Here is a bivariate data set.

x	y
39	45
43	43
12	48
36	38
29	33
31	31
31	37
20	39
-4	51
52	31

Find the correlation coefficient and report it accurate to four decimal places.
r =

Expert Solution

Solution:

Given:

x	y
39	45
43	43
12	48
36	38
29	33
31	31
31	37
20	39
-4	51
52	31

We have to find the correlation coefficient r

where

Thus we need to make following table:

x	y	x^2	y^2	xy
39	45	1521	2025	1755
43	43	1849	1849	1849
12	48	144	2304	576
36	38	1296	1444	1368
29	33	841	1089	957
31	31	961	961	961
31	37	961	1369	1147
20	39	400	1521	780
-4	51	16	2601	-204
52	31	2704	961	1612

Thus

Thus the correlation coefficient r is:

milcah answered 4 months ago

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