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-1. Y falls as X rises. In fact the PMCC is precisely -1 (i.e. a perfect negative correlation).

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Q: Which correlation coefficient best describes the relation between X and Y below X10 20 30 40 50 Y 80 70 60 50 40 a -1 b 1?
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Related questions

When is the correlation coefficient zero?

The correlation coefficient is zero when there is no linear relationship between two variables, meaning they are not related in a linear fashion. This indicates that changes in one variable do not predict or explain changes in the other variable.


What is multiple correlation coefficient and partial correlation coefficient?

partial correlation is the relation between two variable after controlling for other variables and multiple correlation is correlation between dependent and group of independent variables.


What is the relation between Matthew correlation coefficient Sensitivity and Specificity?

The Matthew correlation coefficient considers true and false positives and negatives. The specificity correlation only considers the true classes or rejections.


What is the correlation coefficient of -2?

A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.


What are the properties of correlation coefficient?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .


Why the value of correlation coefficient is always between -1 and 1?

Why the value of correlation coefficient is always between -1 and 1?


What numbers will a correlation coefficient not ever be?

34.32245Correlation coefficient is less than -1 and greater than 1.Note: The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them.


Is the Correlation Coefficient of 35 strong?

The correlation coefficient must lie between -1 and +1 and so a correlation coefficient of 35 is a strong indication of a calculation error. If you meant 0.35, then it is a weak correlation.


What are the properties of correlation?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .


What does a correlation coefficient of zero indicates?

A coefficient of zero means there is no correlation between two variables. A coefficient of -1 indicates strong negative correlation, while +1 suggests strong positive correlation.


What does a coefficient of correlation of 0.70 infer?

A coefficient of correlation of 0.70 infers that there is an overall correlation between the trends being compared. The correlation is not perfect, but enough to be acknowledged and researched further.


What is the weakest correlation coefficient?

The weakest correlation coefficient is 0, which means there is absolutely no relationship between the two variables you are correlating.