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Question
The coefficient of correlation describes
Options
the magnitude and direction
only magnitude
only direction
no magnitude and no direction
Solution
the magnitude and direction
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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.
If the values of two variables move in the opposite direction then the correlation is 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