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If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how?
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If the relationship between two variables x and y in given by 2x 3y 4=...
Correlation Coefficient Between x and y
Given Equation:
2x + 3y + 4 = 0
Covariance Formula:
Covariance (x, y) = ∑ [(xi – x̄) * (yi – ȳ)] / n
- xi and yi are individual values of x and y.
- x̄ and ȳ are the mean values of x and y.
- n is the number of observations.
Correlation Coefficient Formula:
r = Covariance (x, y) / (σx * σy)
- σx and σy are the standard deviations of x and y.
Solving for Covariance:
From the given equation:
2x + 3y + 4 = 0
2x = -3y - 4
x = (-3/2)y - 2
- This equation shows that x and y are negatively correlated.
We can now create a table of values for x and y:
| x | y | (x - x̄) | (y - ȳ) | (x - x̄) * (y - ȳ) |
|---|---|---|---|---|
| -8 | 4 | -3.5 | 0.5 | -1.75 |
| -7 | 3.5 | -2.5 | 0 | 0 |
| -6 | 3 | -1.5 | -0.5 | 0.75 |
| -5 | 2.5 | -0.5 | -1 | 0.5 |
| -4 | 2 | 0.5 | -1.5 | -0.75 |
| -3 | 1.5 | 1.5 | -2 | -3 |
| -2 |
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If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how?
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If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how? 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 If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how?.
If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how? 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 If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables x and y in given by 2x 3y 4=0, then the value of the correlation coefficient between xand y is? Explain how?.
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