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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")`
उत्तर
r(X, Y) = `("cov"("x","y"))/(sigma_"x" sigma_"y")`
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संबंधित प्रश्न
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 |
Estimate missing observation.
Find the coefficient of correlation for the following:
| Cost (₹) | 14 | 19 | 24 | 21 | 26 | 22 | 15 | 20 | 19 |
| Sales (₹) | 31 | 36 | 48 | 37 | 50 | 45 | 33 | 41 | 39 |
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.
From the following data, N = 11, ∑X = 117, ∑Y = 260, ∑X2 = 1313, ∑Y2 = 6580, ∑XY = 2827 the correlation coefficient is
The correlation coefficient
If two variables moves in decreasing direction then the correlation is
If r = – 1, then correlation between the variables
If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be:
The value of the coefficient of correlation r lies between:
