Advertisements
Advertisements
प्रश्न
A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded.
| Estimated cost | 30 | 45 | 80 | 25 | 50 | 97 | 47 | 40 |
| Actual cost | 27 | 48 | 73 | 29 | 63 | 87 | 39 | 45 |
Calculate the value of spearman’s correlation.
Advertisements
उत्तर
| Estimated cost (X) | Actual cost (Y) | RX | RY | d = RX − RY | d2 |
| 30 | 27 | 2 | 1 | 1 | 1 |
| 45 | 48 | 4 | 5 | − 1 | 1 |
| 80 | 73 | 7 | 7 | 0 | 0 |
| 25 | 29 | 1 | 2 | − 1 | 1 |
| 50 | 63 | 6 | 6 | 0 | 0 |
| 97 | 87 | 8 | 8 | 0 | 0 |
| 47 | 39 | 5 | 3 | 2 | 4 |
| 40 | 45 | 3 | 4 | − 1 | 1 |
| ∑d2 = 8 |
Spearman’s Rank correlation coefficient
ρ = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`
= `1 - (6(8))/(8(8^2 - 1))`
= `1 - 6/63`
= 1 − 0.095
ρ = 0.905
APPEARS IN
संबंधित प्रश्न
Coefficient of rank correlation between x and y is 0.5 and `sumd_i^2`= 42. Assuming that no ranks are repeated, find the number of pairs of observations.
Calculate Spearman's Rank Correlation Coefficient between the following marks given by 'two' judges (A) and (B) to •eight' contestants in the elocution competition:
| Contestants | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Marks by A | 81 | 72 | 60 | 33 | 29 | 11 | 56 | 42 |
| Marks byB | 75 | 56 | 42 | 15 | 30 | 20 | 60 | 80 |
Compute the coefficient of correlation for the following data :
n = 100 ; `bar x` = 62 , ` bar y` = 53 . σx = 10 ; σ y = 12 ,
`sum ("x"_1 - bar x) ("y"_1 - bar y) = 8000`
Draw scatter diagram for the following data and identify the type of correlation.
| capital (₹ in crore) | 2 | 3 | 4 | 5 | 6 | 8 | 9 |
| Profit (₹ in lakh) | 6 | 5 | 7 | 7 | 8 | 12 | 11 |
In a partially destroyed laboratory record of an analysis of regression data, the following data are legible :
Variable of X = 9
Regression equations : 8x - 10g + 66 = 0 and 40x- 18g = 214
Find Mean values of X and Y on the basis of the above information .
Ranking of 8 trainees at the beginning (X) and at the end (Y), of a certain course are given below :
| Trainees | A | B | C | D | E | F | G | H |
| X | 1 | 2 | 4 | 5 | 6 | 8 | 3 | 7 |
| Y | 2 | 4 | 3 | 7 | 8 | 1 | 5 | 6 |
Calculate Spearman's rank correlation coefficient.
The following are the ranks obtained by 10 students in commerce and accountancy are given below:
| Commerce | 6 | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 10 | 5 |
| Accountancy | 4 | 1 | 6 | 7 | 5 | 8 | 10 | 9 | 3 | 2 |
To what extent is the knowledge of students in the two subjects related?
A random sample of recent repair jobs was selected and estimated cost and actual cost were recorded.
| Estimated cost | 300 | 450 | 800 | 250 | 500 | 975 | 475 | 400 |
| Actual cost | 273 | 486 | 734 | 297 | 631 | 872 | 396 | 457 |
Calculate the value of spearman’s correlation coefficient.
The rank of 10 students of the same batch in two subjects A and B are given below. Calculate the rank correlation coefficient.
| Rank of A | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Rank of B | 6 | 7 | 5 | 10 | 3 | 9 | 4 | 1 | 8 | 2 |
What are various steps for the calculation of rank order correlation?
