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 |
Advertisements
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
Calculate the correlation coefficient for the following data.
| X | 5 | 10 | 5 | 11 | 12 | 4 | 3 | 2 | 7 | 1 |
| Y | 1 | 6 | 2 | 8 | 5 | 1 | 4 | 6 | 5 | 2 |
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 |
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 |
The variable whose value is influenced (or) is to be predicted is called
Scatter diagram of the variate values (X, Y) give the idea about
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 |
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:
State and explain the different kinds of Correlation.
Calculate the Karl Pearson Correlation Co-efficient for the following data:
| Demand for Product X: | 23 | 27 | 28 | 29 |
30 |
31 | 33 | 35 | 36 | 39 |
| Sale of Product Y: | 18 | 22 | 23 | 24 | 25 | 26 | 28 | 29 | 30 | 32 |
