Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
N = 15, `bar"X"` = 25, `bar"Y"` = 18, ∑X2 = 138, ∑Y2 = 138, ∑XY = 122
Correlation coefficient
r = `(sum"XY")/(sqrt(sum"X"^2 sum "y"^2))`
= `122/(sqrt (136 xx 138))`
= `122/136.996`
= 0.891
APPEARS IN
संबंधित प्रश्न
The variable whose value is influenced (or) is to be predicted is called
The correlation coefficient
Scatter diagram of the variate values (X, Y) give the idea about
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
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 |
If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be:
Define Correlation.
State and explain the different kinds of Correlation.
Calculate the Karl Pearson Correlation Co-efficient for the following data:
| Demand for Product X: | 23 | 27 | 28 | 29 |
30 |
31 | 33 | 35 | 36 | 39 |
| Sale of Product Y: | 18 | 22 | 23 | 24 | 25 | 26 | 28 | 29 | 30 | 32 |
