Calculate the coefficient of correlation, and interpret the result. (not from software or excel) X Y...

Calculate the coefficient of correlation, and interpret the result. (not from software or excel)

X	Y
1870	3.38
1330	1.16
1760	1.58
1520	2.65
1300	1.98
1520	2.39
1640	2.49
1490	2.81
1300	2.95
1360	1.69
1940	3.49
1730	2.8
1790	2.95
1780	3.8
1730	2.64
1380	2.36
1580	3.1
1900	1.96
1640	3.08
1540	2.24
1350	2.59
1380	2.43
1780	1.95
1700	2.07
1610	2.34
1720	3.59
2070	3.59
1210	2.12
1720	2.48
1510	2.37
1790	2.1
2100	2.55
1690	3.01
1490	2.67
1760	1.87
1540	2.21
1810	2.37
1430	3.37
1540	1.84
1270	2.96

Expert Solution

Following table shows the calculations:

	X	Y	X^2	Y^2	XY
	1870	3.38	3496900	11.4244	6320.6
	1330	1.16	1768900	1.3456	1542.8
	1760	1.58	3097600	2.4964	2780.8
	1520	2.65	2310400	7.0225	4028
	1300	1.98	1690000	3.9204	2574
	1520	2.39	2310400	5.7121	3632.8
	1640	2.49	2689600	6.2001	4083.6
	1490	2.81	2220100	7.8961	4186.9
	1300	2.95	1690000	8.7025	3835
	1360	1.69	1849600	2.8561	2298.4
	1940	3.49	3763600	12.1801	6770.6
	1730	2.8	2992900	7.84	4844
	1790	2.95	3204100	8.7025	5280.5
	1780	3.8	3168400	14.44	6764
	1730	2.64	2992900	6.9696	4567.2
	1380	2.36	1904400	5.5696	3256.8
	1580	3.1	2496400	9.61	4898
	1900	1.96	3610000	3.8416	3724
	1640	3.08	2689600	9.4864	5051.2
	1540	2.24	2371600	5.0176	3449.6
	1350	2.59	1822500	6.7081	3496.5
	1380	2.43	1904400	5.9049	3353.4
	1780	1.95	3168400	3.8025	3471
	1700	2.07	2890000	4.2849	3519
	1610	2.34	2592100	5.4756	3767.4
	1720	3.59	2958400	12.8881	6174.8
	2070	3.59	4284900	12.8881	7431.3
	1210	2.12	1464100	4.4944	2565.2
	1720	2.48	2958400	6.1504	4265.6
	1510	2.37	2280100	5.6169	3578.7
	1790	2.1	3204100	4.41	3759
	2100	2.55	4410000	6.5025	5355
	1690	3.01	2856100	9.0601	5086.9
	1490	2.67	2220100	7.1289	3978.3
	1760	1.87	3097600	3.4969	3291.2
	1540	2.21	2371600	4.8841	3403.4
	1810	2.37	3276100	5.6169	4289.7
	1430	3.37	2044900	11.3569	4819.1
	1540	1.84	2371600	3.3856	2833.6
	1270	2.96	1612900	8.7616	3759.2
Total	64570	101.98	106105700	274.051	166087.1

Sample size : n = 40

orchestra answered 3 years ago

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