Question

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) х 1 ألمانيا 4 5 6 7 8 9 10 11 y 7.27 12.74 11.11 15.98 15.75 18.22 20.79 21.66 22.83 25.2 26.87

Answer 1

	X	Y	XY	X​​​​​​2	Y​​​​​​2
	1	7.27	7.27	1	52.8529
	2	12.74	25.48	4	162.3076
	3	11.11	33.33	9	123.4321
	4	15.98	63.92	16	255.3604
	5	15.75	78.75	25	248.0625
	6	18.22	109.32	36	331.9684
	7	20.79	145.53	49	432.2241
	8	21.66	173.28	64	469.1556
	9	22.83	205.47	81	521.2089
	10	25.2	252	100	635.04
	11	26.87	295.57	121	721.9969
Sum =	66	198.42	1389.92	506	3953.6094

The correlation coefficient r is computed as-

r = iss Ssxy xx SSyy ssi Here Ssxy = Exiyi - (Exi) @ Y;) n = 1389.92 I (66 X 198.42) Ssxy 199.4 2 ssxx Ex: 2 - L (Exi)? 506 - + (56) Ssxx 110 Sex Syy {y: ² - 1 (29) ² 11 39534 609 I (198.42) bil Syy 3333333740473 2003 Now i De & logo4 Fox 3740473 בד y 0.982 correlation coefficient is is 0.982.

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