Calculate the rank correlation coefficient for the following data:
| Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Mathematics | 76 | 80 | 85 | 80 | 78 | 65 | 85 | 80 |
| Physics | 91 | 78 | 82 | 78 | 86 | 80 | 88 | 92 |
To calculate the rank correlation coefficient, you can use the Spearman's Rank Correlation Coefficient formula. First, you need to rank the data and then apply the formula. Here's how you can do it step by step:
1. Rank the data for both Mathematics and Physics separately, considering tied values by giving them the average rank:
For Mathematics:
- 65 gets rank 1.
- 76 gets rank 2.
- 78 gets rank 3.5 (average of 3 and 4).
- 80 gets rank 3.5 (average of 3 and 4).
- 80 gets rank 6.5 (average of 6 and 7).
- 85 gets rank 8.
- 85 gets rank 8.
- 80 gets rank 6.5 (average of 6 and 7).
For Physics:
- 78 gets rank 4.
- 78 gets rank 4.
- 80 gets rank 6.
- 82 gets rank 7.
- 86 gets rank 8.
- 88
_________ _____ _____ ______ ___ ______ __________.
___ ______ ______ ___ _________ _____ _________ ________ __________.
_________ ______ __________ ________ ____ ___ ________ _______ ___ ______.
________ _________ __________ _______ _______.
_________ _______ _________ _______ ______ ______ __________ _______ _____ _______.
________ _______ ______ _____ ___.
_______ ______ _______ ___ _______ ________ _______.
_____ __________ _______ _______ ____ _______ __________ ____ ____.
_________ __________ __________ _________ _______ ___ _____ ____ _________ ____ ____.
__________ _________ ______ __________ _________ ________ ___ _______ __________ __________ _____.
____ _______ ______ _______ _______ ______ ______ _______ ________.
______ ____ ____ ________ ________.
______ _______ ____ __________ _____ _______ _________ ___ ________ ________.
______ _________ __________ _______ _______ __________ ___ _______ _____ ______ ______.
___ ______ _________ __________ _____.
_________ _________ _____ ______ _____ ______ ______ ________ _________ ____ ______.
______ _______ ________ ____ ________ ________ _________ _______ ____.
___ _________ __________ _____ ______ _________ ____ _________ _____ __________ _______ ____.
__________ __________ ___ ____ __________ _________.
_____ ______ ______ _________ _________.
_________ ____ ______ ________ ____ ______ ____ ____ __________ ____ ____.
______ ____ _____ _______ __________.
____ _______ ___ ________ __________ ___ ___ ______ _______ __________.
___ ________ ________ _______ ______ _____ ___.
_________ __________ ____ _________ _________ _______ __________ __________ _______ ______ ___.
_____ __________ ________ ___ __________ ___ _______ ___ __________ __________ ________.
________ _______ ________ _______ ______ ___ ______ _________ ______ ____ _____ _______.
__________ ___ __________ ___ __________ ___ ______.
____.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
The correlation coefficient between two variables X and Y, 
If the regression coefficients 
of a data are 1.6 and 0.4, respectively, then the value of r(X, Y) is 0.8.
Describe the assumptions for correlation Prove that correlation coefficient is independent
of change of origin and scale both.
A company is interested in determining the strength of association between the
communication time of their employees and the level of stress-related problems observed
on job. A study of 120 assembly line workers reveals the following data:
|
| Stress | |||
|
| High | Moderate | Low | Total |
| Under 20 min | 10 | 10 | 15 | 35 |
| 20- 50 min | 15 | 10 | 25 | 50 |
| Over 50 min | 15 | 10 | 10 | 35 |
| Total | 40 | 30 | 50 | 120 |
Why are two different lines of regression used to obtain the optimum values of two
variables X and Y. The marks of lo students of a class in Mathematics and Statistics are given below:
| Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Mathematics | 40 | 46 | 42 | 30 | 35 | 28 | 39 | 43 | 25 | 45 |
| Statistics | 35 | 41 | 36 | 32 | 42 | 48 | 29 | 38 | 28 | 40 |