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If two variables X and Y are independent, then what is the correlation coefficient between them?
- a)1
- b)–1
- c)0
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If two variables X and Y are independent, then what is the correlation...
Variables X and Y are independent. Correlation and independence as it approaches zero there is less of a relationship (closer to uncorrelated).
If the variables are independent, Pearson's correlation coefficient is 0, but the converse is not true because the correlation coefficient detects only linear dependencies between two variables.
The correlation coefficient between them is 0.
If the variables are independent, Pearson's correlation coefficient is 0, but the converse is not true because the correlation coefficient detects only linear dependencies between two variables.
The correlation coefficient between them is 0.
Most Upvoted Answer
If two variables X and Y are independent, then what is the correlation...
0c)-1d)It cannot be determined without additional information.
Answer: d) It cannot be determined without additional information.
Explanation: If two variables are independent, it means that there is no relationship or association between them. In other words, the value of one variable does not affect the value of the other variable. Therefore, the correlation coefficient between two independent variables cannot be determined without additional information. The correlation coefficient measures the strength and direction of the linear relationship between two variables. If there is no relationship, the correlation coefficient is 0. However, if the relationship is nonlinear, the correlation coefficient may not be 0.
Answer: d) It cannot be determined without additional information.
Explanation: If two variables are independent, it means that there is no relationship or association between them. In other words, the value of one variable does not affect the value of the other variable. Therefore, the correlation coefficient between two independent variables cannot be determined without additional information. The correlation coefficient measures the strength and direction of the linear relationship between two variables. If there is no relationship, the correlation coefficient is 0. However, if the relationship is nonlinear, the correlation coefficient may not be 0.
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If two variables X and Y are independent, then what is the correlation coefficient between them?a)1b)–1c)0d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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