Question

Given the following set of data what is the correlation value between these two variables? X:...

Given the following set of data what is the correlation value between these two variables? X: 0 1 2 3 4 5 6 7 8 9 10 Y: 563 552 541 530 519 508 497 486 475 464 453

Homework Answers

Answer #1

Solution :

X Y XY X^2 Y^2
0 563 0 0 316969
1 552 552 1 304704
2 541 1082 4 292681
3 530 1590 9 280900
4 519 2076 16 269361
5 508 2540 25 258064
6 497 2982 36 247009
7 486 3402 49 236196
8 475 3800 64 225625
9 464 4176 81 215296
10 453 4530 100 205209
n 11
sum(XY) 26730.00
sum(X) 55.00
sum(Y) 5588.00
sum(X^2) 385.00
sum(Y^2) 2852014.00
Numerator -13310.00
Denominator 13310.00
r -1.0000
r square 1.0000
Xbar(mean) 5.0000
Ybar(mean) 508.0000
SD(X) 1.7078
SD(Y) 18.7861
b -11.0000
a 563.0000

correlation = -1.00

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