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प्रश्न
The correlation coefficient is
पर्याय
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")`
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उत्तर
r(X, Y) = `("cov"("x","y"))/(sigma_"x" sigma_"y")`
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संबंधित प्रश्न
Calculate the coefficient of correlation for the ages of husbands and their respective wives:
| Age of husbands | 23 | 27 | 28 | 29 | 30 | 31 | 33 | 35 | 36 | 39 |
| Age of wives | 18 | 22 | 23 | 24 | 25 | 26 | 28 | 29 | 30 | 32 |
Calculate the coefficient of correlation between X and Y series from the following data.
| Description | X | Y |
| 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 |
Summation of product deviations of X and Y series from their respective arithmetic means is 122.
Example for positive correlation is
If the values of two variables move in same direction then the correlation is said to be
If r(X,Y) = 0 the variables X and Y are said to be
The variable whose value is influenced (or) is to be predicted is called
If two variables moves in decreasing direction then the correlation is
The coefficient of correlation describes
Calculate the correlation coefficient from the data given below:
| X | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Y | 9 | 8 | 10 | 12 | 11 | 13 | 14 | 16 | 15 |
The value of the coefficient of correlation r lies between:
