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For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=?
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For n pairs of of observations , the coefficient of concurrent devatio...
Calculation of Coefficient of Concurrent Deviation
The coefficient of concurrent deviation is a statistical measure that is used to determine the level of correlation between two variables. It is calculated as the ratio of the sum of the concurrent deviations to the sum of the absolute deviations.
Coefficient of Concurrent Deviation Formula
The formula for calculating the coefficient of concurrent deviation is as follows:
COD = (1/n) * Σ (xy - x̄ȳ) / (Σ |x - x̄| * Σ |y - ȳ|)
Where:
- n is the number of pairs of observations
- Σ is the sum of the values
- x and y are the variables being compared
- x̄ and ȳ are the mean values of x and y, respectively
Coefficient of Concurrent Deviation Calculation
Given that the coefficient of concurrent deviation is 1/3 and there are six concurrent deviations, we can use the formula to calculate the value of n:
1/3 = (1/n) * (Σ (xy - x̄ȳ) / (Σ |x - x̄| * Σ |y - ȳ|)
Multiplying both sides by the denominator:
Σ (xy - x̄ȳ) = (1/3) * (Σ |x - x̄| * Σ |y - ȳ|) * n
Since there are six concurrent deviations, we can substitute the value of Σ (xy - x̄ȳ) with 6:
6 = (1/3) * (Σ |x - x̄| * Σ |y - ȳ|) * n
Multiplying both sides by 3:
18 = (Σ |x - x̄| * Σ |y - ȳ|) * n
Since the sum of absolute deviations cannot be negative, we can assume that:
Σ |x - x̄| ≥ 0
Σ |y - ȳ| ≥ 0
Therefore:
n ≤ 18 / (Σ |x - x̄| * Σ |y - ȳ|)
Conclusion
From the above calculation, we can conclude that the value of n cannot exceed 18 divided by the product of the sum of absolute deviations for x and y. Without knowing the values of x and y, it is not possible to determine an exact value for n.
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For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=?
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For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=?.
For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For n pairs of of observations , the coefficient of concurrent devation is calculated as 1 3 . If there are six concurrent deviations, n=?.
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