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Question
The correlation coefficient is
Options
r(X, Y) = `(sigma_"x" sigma_"y")/("cov"("x","y"))`
r(X, Y) = `("cov"("x","y"))/(sigma_"x" sigma_"y")`
r(X, Y) = `("cov"("x","y"))/(sigma_"y")`
r(X, Y) = `("cov"("x","y"))/(sigma_"x")`
Solution
r(X, Y) = `("cov"("x","y"))/(sigma_"x" sigma_"y")`
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RELATED QUESTIONS
In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | ? | 8 | 7 |
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| Number of pairs of observation | 15 | 15 |
| Arithmetic mean | 25 | 18 |
| Standard deviation | 3.01 | 3.03 |
| Sum of squares of deviation from the arithmetic mean | 136 | 138 |
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