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Question
The coefficient of correlation describes
Options
the magnitude and direction
only magnitude
only direction
no magnitude and no direction
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Solution
the magnitude and direction
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RELATED QUESTIONS
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.
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 |
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
The correlation coefficient is
If Cov(x, y) = – 16.5, `sigma_"x"^2` = 2.89, `sigma_"y"^2` = 100. Find correlation coefficient.
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:
Define Correlation.
