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For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.?
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For a bivariate data, sample correlation coefficient is 0.6 and r - PE...
Given Data:
- Sample correlation coefficient (r) = 0.6
- r - PE = 0.546
Finding the Number of Pairs of Observations:
1. Formula:
- r = n(r - PE) / sqrt(n + (r^2 - 1))
- Where n is the number of pairs of observations
2. Substitute the Given Values:
- 0.6 = n(0.546) / sqrt(n + ((0.6)^2 - 1))
3. Solve for n:
- 0.6 = 0.546n / sqrt(n + 0.36 - 1)
- 0.6 = 0.546n / sqrt(n - 0.64)
- 0.6 = 0.546n / sqrt(n - 0.64)^2
- (0.6 * sqrt(n - 0.64))^2 = 0.546n
- 0.36(n - 0.64) = 0.546n
- 0.36n - 0.23 = 0.546n
- 0.23 = 0.186n
- n ≈ 1.24
4. Conclusion:
- The number of pairs of observations is approximately 1.24. Since the number of pairs must be a whole number, we can round up to 2 pairs.
Therefore, there are 2 pairs of observations in the bivariate data.
- Sample correlation coefficient (r) = 0.6
- r - PE = 0.546
Finding the Number of Pairs of Observations:
1. Formula:
- r = n(r - PE) / sqrt(n + (r^2 - 1))
- Where n is the number of pairs of observations
2. Substitute the Given Values:
- 0.6 = n(0.546) / sqrt(n + ((0.6)^2 - 1))
3. Solve for n:
- 0.6 = 0.546n / sqrt(n + 0.36 - 1)
- 0.6 = 0.546n / sqrt(n - 0.64)
- 0.6 = 0.546n / sqrt(n - 0.64)^2
- (0.6 * sqrt(n - 0.64))^2 = 0.546n
- 0.36(n - 0.64) = 0.546n
- 0.36n - 0.23 = 0.546n
- 0.23 = 0.186n
- n ≈ 1.24
4. Conclusion:
- The number of pairs of observations is approximately 1.24. Since the number of pairs must be a whole number, we can round up to 2 pairs.
Therefore, there are 2 pairs of observations in the bivariate data.
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For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.?
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For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.?.
For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a bivariate data, sample correlation coefficient is 0.6 and r - PE.546. Find the number of pairs of observation.?.
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