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Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9?
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Find the coefficient of correlation when its probable error is 0.2 and...
Calculation of Coefficient of Correlation with Probable Error of 0.2 and 9 Pairs of Items
Explanation: To find the coefficient of correlation when the probable error is 0.2 and the number of pairs of items is 9, we need to first calculate the value of the probable error. Using the formula, we can calculate the standard deviation to be 0.889. Then, we can use the formula for coefficient of correlation to find that it is either positive or negative 0.6. The probable error represents the degree of uncertainty in the coefficient of correlation and in this case, it is relatively small, indicating a high degree of confidence in the calculated coefficient of correlation.
- Firstly, we need to find the value of the probable error using the formula:
- Probable error (P.E) = 0.6745 * Standard Deviation (S.D) / √n
- Here, n = number of pairs of items = 9
- Let's assume S.D = x
- So, P.E = 0.6745 * x / √9
- P.E = 0.22483x
- Given, P.E = 0.2
- 0.22483x = 0.2
- x = 0.889
- Therefore, S.D = 0.889
- Next, we can use the formula to calculate the coefficient of correlation:
- Coefficient of Correlation (r) = ± P.E * √n
- Since the probable error is given as 0.2, we can substitute the values in the formula:
- r = ± 0.2 * √9
- r = ± 0.6
- Therefore, the coefficient of correlation is either positive or negative 0.6.
Explanation: To find the coefficient of correlation when the probable error is 0.2 and the number of pairs of items is 9, we need to first calculate the value of the probable error. Using the formula, we can calculate the standard deviation to be 0.889. Then, we can use the formula for coefficient of correlation to find that it is either positive or negative 0.6. The probable error represents the degree of uncertainty in the coefficient of correlation and in this case, it is relatively small, indicating a high degree of confidence in the calculated coefficient of correlation.
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Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9?
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Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9? 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 Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9?.
Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9? 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 Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9?.
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