Advertisements
Advertisements
प्रश्न
The correlation coefficient from the following data N = 25, ∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520
विकल्प
0.667
− 0.006
– 0.667
0.70
Advertisements
उत्तर
0.667
Explanation:
r = `("N"sum"XY" - sum"X"sum"Y")/(sqrt("N"sum"X"^2 - (sum"X")^2) sqrt("N"sum"Y"^2 - (sum"Y")^2))`
= `(25(520) - 125 xx 100)/(sqrt(25 xx 650 - (125)^2) sqrt(25 xx 436 - (100)^2))`
= `(13000 - 12500)/(sqrt(16250 - 15625) sqrt(10900 - 10000))`
= `500/(sqrt625 sqrt900)`
= `500/(25 xx 30)`
= `2/3`
= 0.6666
= 0.667
APPEARS IN
संबंधित प्रश्न
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 |
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
Scatter diagram of the variate values (X, Y) give the idea about
If two variables moves in decreasing direction then the correlation is
The person suggested a mathematical method for measuring the magnitude of linear relationship between two variables say X and Y is
If r = – 1, then correlation between the variables
If Cov(x, y) = – 16.5, `sigma_"x"^2` = 2.89, `sigma_"y"^2` = 100. Find correlation coefficient.
Find the coefficient of correlation for the following data:
| X | 35 | 40 | 60 | 79 | 83 | 95 |
| Y | 17 | 28 | 30 | 32 | 38 | 49 |
