x 1004 975 992 935 971 930 y 40 100 65 145 78 151 Use a...

x	1004	975	992	935	971	930
y	40	100	65	145	78	151

Use a calculator to verify that x = 5807, x2 = 5,624,671, y = 579, y2 = 65,735 and xy = 553,883. Compute r. (Round your answer to three decimal places.)

Expert Solution

Solution :

X	Y	XY	X^2	Y^2
1004	40	40160	1008016	1600
975	100	97500	950625	10000
992	65	64480	984064	4225
935	145	135575	874225	21025
971	78	75738	942841	6084
930	151	140430	864900	22801

n	6
sum(XY)	553883.00
sum(X)	5807.00
sum(Y)	579.00
sum(X^2)	5624671.00
sum(Y^2)	65735.00
Numerator	-38955.00
Denominator	39804.12
r	-0.9787
r square	0.9578

Xbar(mean)	967.8333
Ybar(mean)	96.5000
SD(X)	27.2728
SD(Y)	40.5411

b	-1.4548
a	1504.4974

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

r = -0.979

orchestra answered 1 year ago

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