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प्रश्न
The value of the coefficient of correlation r lies between:
विकल्प
0 and 1
-1 and 0
-1 and +1
-0.5 and +0.5
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उत्तर
-1 and +1
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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 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.
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 |
Example for positive correlation is
If the values of two variables move in same direction then the correlation is said to be
Correlation co-efficient lies between
The correlation coefficient is
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
If two variables moves in decreasing direction then the correlation is
If r = – 1, then correlation between the variables
The coefficient of correlation describes
If Cov(x, y) = – 16.5, `sigma_"x"^2` = 2.89, `sigma_"y"^2` = 100. Find correlation coefficient.
Calculate the coefficient of correlation from the following data:
∑X = 50, ∑Y = – 30, ∑X2 = 290, ∑Y2 = 300, ∑XY = – 115, N = 10
If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be:
State and explain the different kinds of Correlation.
