Advertisements
Advertisements
प्रश्न
Find the coefficient of correlation for the following data:
| X | 35 | 40 | 60 | 79 | 83 | 95 |
| Y | 17 | 28 | 30 | 32 | 38 | 49 |
Advertisements
उत्तर
| X | Y | dx = X − 65 | dy = Y − 32 | dx2 | dy2 | dxdy |
| 35 | 17 | − 30 | − 15 | 900 | 225 | 450 |
| 40 | 28 | − 25 | − 4 | 625 | 16 | 100 |
| 60 | 30 | − 5 | − 2 | 25 | 4 | 10 |
| 79 | 32 | 14 | 0 | 196 | 0 | 0 |
| 83 | 38 | 18 | 6 | 324 | 36 | 108 |
| 95 | 49 | 30 | 17 | 900 | 289 | 510 |
| 392 | 194 | 2 | 2 | 2970 | 570 | 1178 |
`bar"X" = 392/6` = 65.33
`bar"Y" = 194/6` = 32.33
Coefficient of correlation
r(X, Y) = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/(sqrt("N"sum"dx"^2 - (sum"dx")^2) xx sqrt("N"sum"dy"^2 - (sum"dy")^2))`
= `(6(1178) - 2(2))/(sqrt(6(2970) - 4) xx sqrt(6(570) - 4))`
= `7064/(sqrt17816 xx sqrt3416)`
= `7065/((133.48) (58.45))`
= `7064/7801.91`
= 0.906
APPEARS IN
संबंधित प्रश्न
From the following data, N = 11, ∑X = 117, ∑Y = 260, ∑X2 = 1313, ∑Y2 = 6580, ∑XY = 2827 the correlation coefficient is
The correlation coefficient is
The correlation coefficient
Scatter diagram of the variate values (X, Y) give the idea about
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 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 |
A measure of the strength of the linear relationship that exists between two variables is called:
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:
