Advertisements
Advertisements
प्रश्न
From the following data, N = 11, ∑X = 117, ∑Y = 260, ∑X2 = 1313, ∑Y2 = 6580, ∑XY = 2827 the correlation coefficient is
विकल्प
0.3566
– 0.3566
0
0.4566
Advertisements
उत्तर
0.3566
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))`
= `(11 xx 2827 - 117 xx 260)/(sqrt (11 xx 1313 - (117)^2) sqrt (11 xx 6580 - (260)^2))`
= `(31097 xx 30420)/(sqrt(14443 - 13689) sqrt (72380 - 67600))`
= `677/(sqrt 754 sqrt 4780)`
= `677/sqrt3604120`
= `677/1898.45`
= 0.3566
APPEARS IN
संबंधित प्रश्न
In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | ? | 8 | 7 |
Estimate missing observation.
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 correlation coefficient for the following data.
| X | 25 | 18 | 21 | 24 | 27 | 30 | 36 | 39 | 42 | 48 |
| Y | 26 | 35 | 48 | 28 | 20 | 36 | 25 | 40 | 43 | 39 |
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
The person suggested a mathematical method for measuring the magnitude of linear relationship between two variables say X and Y is
Calculate the correlation coefficient from the following data:
∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520, N = 25
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.
