Advertisements
Advertisements
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 |
उत्तर
Without deviation:
| Age of husbands (X) | Age of wives (Y) | X2 | Y2 | XY |
| 23 | 18 | 529 | 324 | 414 |
| 27 | 22 | 729 | 484 | 594 |
| 28 | 23 | 784 | 529 | 644 |
| 29 | 24 | 841 | 576 | 696 |
| 30 | 25 | 900 | 625 | 750 |
| 31 | 26 | 961 | 676 | 806 |
| 33 | 28 | 1089 | 784 | 924 |
| 35 | 29 | 1225 | 841 | 1015 |
| 36 | 30 | 1296 | 900 | 1080 |
| 39 | 32 | 1521 | 1024 | 1248 |
| 311 | 257 | 9875 | 6763 | 8171 |
∑X = 311, ∑Y = 257, ∑X2 = 9875, ∑Y2 = 6763, ∑XY = 8171
N = 10
Coefficient of correlation
r = `("N"sum"XY" - (sum"X")(sum"Y"))/(sqrt("N"sum"X"^2 - (sum"X")^2) sqrt ("N"sum"Y"^2 - (sum"Y")^2))`
= `(10 xx 8171 - 311 xx 257)/(sqrt (10 xx 9875 - (311)^2) sqrt(10 xx 6763 - (257)^2))`
= `(81710 - 79927)/(sqrt (98750 - 96721) sqrt (67630 - 66049))`
= `1783/(45 xx 39.76)`
= 0.9965
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 |
Correlation co-efficient lies between
If r(X,Y) = 0 the variables X and Y are said to be
If two variables moves in decreasing direction then the correlation is
The coefficient of correlation describes
Find the coefficient of correlation for the following data:
| X | 35 | 40 | 60 | 79 | 83 | 95 |
| Y | 17 | 28 | 30 | 32 | 38 | 49 |
Calculate the coefficient of correlation from the following data:
∑X = 50, ∑Y = – 30, ∑X2 = 290, ∑Y2 = 300, ∑XY = – 115, N = 10
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:
