12.1 Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7...

12.1 Determine the Pearson product-moment correlation coefficient for the following data.

x	1	11	9	7	5	3	2
y	9	4	6	5	7	7	8

(Do not round the intermediate values. Round your answer to 3 decimal places.)

Correlation coefficient, r = enter the Correlation coefficient rounded to 3 decimal places

Expert Solution

Solution:

x	y	x²	y²	x⋅y
1	9	1	81	9
11	4	121	16	44
9	6	81	36	54
7	5	49	25	35
5	7	25	49	35
3	7	9	49	21
2	8	4	64	16
x=38	y=46	x²=290	y²=320	xy=214

r = n ( xy )- (x ) (y) / n [ ( x² ) - ( x )² ] [ n (y² ) - ( y )²

^r = 7 (214) - (38 * 46) / [7 *290 - ( 38 ) ² [ 7 * 320 - ( 46 ) ² ]

r = 1498 - 1748 / 2030 - 1444 2240 - 2116

r = 250 / 586124

r = 250 / 269.5626

r = 2656 / 2910.80

r = - 0.9274

.The Correlation coefficient = - 0.927

milcah answered 1 year ago

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