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
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 |
Example for positive correlation is
The variable which influences the values or is used for prediction is called
The correlation coefficient
Scatter diagram of the variate values (X, Y) give the idea about
If two variables moves in decreasing direction then the correlation is
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
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:
Define Correlation.
