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प्रश्न
Define Correlation.
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उत्तर
Correlation is a statistical device that helps to analyze the covariation of two or more variables. Sir Francis Galton, is responsible for the calculation of the correlation coefficient.
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संबंधित प्रश्न
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 correlation coefficient for the following data.
| X | 25 | 18 | 21 | 24 | 27 | 30 | 36 | 39 | 42 | 48 |
| Y | 26 | 35 | 48 | 28 | 20 | 36 | 25 | 40 | 43 | 39 |
Find the coefficient of correlation for the following:
| X | 78 | 89 | 96 | 69 | 59 | 79 | 68 | 62 |
| Y | 121 | 72 | 88 | 60 | 81 | 87 | 123 | 92 |
Example for positive correlation is
If the values of two variables move in same direction then the correlation is said to be
If the values of two variables move in the opposite direction then the correlation is said to be
Correlation co-efficient lies between
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
The variable which influences the values or is used for prediction is called
The person suggested a mathematical method for measuring the magnitude of linear relationship between two variables say X and Y is
Find the coefficient of correlation for the following data:
| X | 35 | 40 | 60 | 79 | 83 | 95 |
| Y | 17 | 28 | 30 | 32 | 38 | 49 |
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 |
Calculate the correlation coefficient from the following data:
∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520, N = 25
If the points on the scatter diagram indicate that as one variable increases the other variable tends to decrease the value of r will be:
