Here is a bivariate data set. x y 43.1 71.8 37.6 -44.1 67.3 -60.2 45.3 160.1...

Here is a bivariate data set.

x	y
43.1	71.8
37.6	-44.1
67.3	-60.2
45.3	160.1
46.3	-61.5
43.7	-125.8
57.3	107.8
50.7	15.9
58.9	173.4
68.1	-48.8
22.3	40.5
47.3	181.4
45.1	191.7
35.9	216.3
46.8	100.7
49.5	-17.7
35.6	-188.7
23.8	364.3

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

Solutions

Expert Solution

Sr. No.	X	Y	(X-mean(x))	(y-mean(y))	(X-mean(X))(y-mean(y))	(X-mean(x))^2	(y-mean(y)) ^2
1	43.1	71.8	-2.7111	11.9611	-32.4279	7.3501	143.0682
2	37.6	-44.1	-8.2111	-103.9389	853.4538	67.4223	10803.2926
3	67.3	-60.2	21.4889	-120.0389	-2579.5023	461.7723	14409.3348
4	45.3	160.1	-0.5111	100.2611	-51.2446	0.2612	10052.2904
5	46.3	-61.5	0.4889	-121.3389	-59.3212	0.2390	14723.1260
6	43.7	-125.8	-2.1111	-185.6389	391.9043	4.4568	34461.7971
7	57.3	107.8	11.4889	47.9611	551.0199	131.9946	2300.2682
8	50.7	15.9	4.8889	-43.9389	-214.8123	23.9012	1930.6260
9	58.9	173.4	13.0889	113.5611	1486.3888	171.3190	12896.1260
10	68.1	-48.8	22.2889	-108.6389	-2421.4401	496.7946	11802.4082
11	22.3	40.5	-23.5111	-19.3389	454.6788	552.7723	373.9926
12	47.3	181.4	1.4889	121.5611	180.9910	2.2168	14777.1037
13	45.1	191.7	-0.7111	131.8611	-93.7679	0.5057	17387.3526
14	35.9	216.3	-9.9111	156.4611	-1550.7035	98.2301	24480.0793
15	46.8	100.7	0.9889	40.8611	40.4071	0.9779	1669.6304
16	49.5	-17.7	3.6889	-77.5389	-286.0323	13.6079	6012.2793
17	35.6	-188.7	-10.2111	-248.5389	2537.8582	104.2668	61771.5793
18	23.8	364.3	-22.0111	304.4611	-6701.5273	484.4890	92696.5682
Total	824.6	1077.1	0	0	-7494.0778	2622.5778	332690.9228

orchestra answered 1 year ago

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