\[x\] | 4 | 7 | 8 | 3 | 4 |
\[y\] | 5 | 8 | 6 | 3 | 5 |
A) \[\frac{63}{\sqrt{94\times 66}}\]
B) \[63\]
C) \[\frac{63}{\sqrt{94}}\]
D) \[\frac{63}{\sqrt{66}}\]
E) \[\frac{1}{\sqrt{94\times 66}}\]
Correct Answer: A
Solution :
Take A = 5 and B = 5\[{{x}_{i}}\] | \[{{y}_{i}}\] | \[{{u}_{i}}\]\[={{x}_{i}}-A\] | \[{{v}_{i}}\] \[={{y}_{i}}-A\] | \[{{({{u}_{i}})}^{2}}\] | \[{{({{v}_{i}})}^{2}}\] | \[{{u}_{i}}{{v}_{i}}\] |
4 | 5 | -1 | 0 | 1 | 0 | 0 |
7 | 8 | 2 | 3 | 4 | 9 | 6 |
8 | 6 | 3 | 1 | 9 | 1 | 3 |
3 | 3 | -2 | -2 | 4 | 4 | 4 |
4 | 5 | -1 | 0 | 1 | 0 | 0 |
\[\Sigma {{u}_{i}}=1\] | \[\Sigma {{v}_{i}}=2\] | \[\Sigma u_{i}^{2}\] =19 | \[\Sigma v_{i}^{2}\] =14 | \[\Sigma {{u}_{i}}{{v}_{i}}\]=13 |
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