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A mistake in calculations! ;)

If the calculations are done correctly then the sample correlation must lie within the closed interval [-1, 1].

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11y ago

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What is the range of correlation coefficient and what does its value tell?

The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.


Is the slope of a line positive when doing linear regression if the correlation coefficient is negative?

No, the slope of a line in linear regression cannot be positive if the correlation coefficient is negative. The correlation coefficient measures the strength and direction of a linear relationship between two variables; a negative value indicates that as one variable increases, the other decreases. Consequently, a negative correlation will result in a negative slope for the regression line.


What is the maximum and minimum value of the correlation coefficient?

The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).


If the r-value or correlation coefficient of a data set is negative the coefficient of determination is negative?

The coefficient of determination, denoted as (R^2), is always a non-negative value, regardless of whether the correlation coefficient (r-value) is negative or positive. The value of (R^2) indicates the proportion of the variance in the dependent variable that can be explained by the independent variable(s). While a negative r-value signifies an inverse relationship between the variables, (R^2) will still be a positive number, ranging from 0 to 1. Thus, a negative r-value does not imply a negative coefficient of determination.


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.


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

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


How change of origin or scale effect value of co-efficient of co-relation?

The correlation coefficient is unaffected by change of origin or scale unless one of the sets of variables is multiplied by a negative term, in which case the correlation coefficient will become negative.


What is the acceptable range of correlation coefficient?

The correlation coefficient, typically denoted as "r," ranges from -1 to +1. A value of +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation. Generally, values between 0.1 and 0.3 suggest a weak correlation, 0.3 to 0.5 indicate a moderate correlation, and above 0.5 show a strong correlation. The interpretation may vary depending on the context and the specific fields of study.


What does it mean for variables to show correlation?

A positive correlation coefficient means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases. A negative correlation coefficient indicates that as one variable increases, the other decreases, and vice-versa.


Value of the sample correlation coefficient calculator?

It will be invaluable if (when) you need to calculate sample correlation coefficient, but otherwise, it has pretty much no value.


Measure of how closely one thing is related to another?

This is referred to as correlation, which quantifies the strength and direction of the relationship between two variables. The correlation coefficient can range from -1 to 1, where values closer to 1 indicate a strong positive relationship, values close to -1 indicate a strong negative relationship, and a value of 0 indicates no relationship.


What is the value of correlation coefficient r for perfect positive correlation?

1.