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This means that the data points lie perfectly on a line with negative slope.

For example, the points (0,4), (1,3), (2,2), (4,0) are perfectly correlated since they lie on the line y = -x + 4.

It is a negative correlation since the slope of the line is -1, a negative number, or alternatively because as x rises, y falls.

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Q: What is perfect negative linear correlation?
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Related questions

What is a negative correlation?

A negative correlation is a measure of the linear component of a relationship where one variable increase as the other decrease.


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.


If two variables have a negative linear correlation is the slope of the least squares negative?

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What is a large but not perfect positive linear correlation?

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Difference between positive and negative correlation?

If the two variables increase together and decrease together AND in a linear fashion, the correlation is positive. If one increases when the other decreases, again, in a linear fashion, the correlation is negative.


What is the meaning of correlation coefficient?

The correlation coefficient is a statistical measure that quantifies the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.


What will be the correlation for the graph of this equation y equals 14x?

Since y=14x is a perfect linear relation, the correlation would be 1.


What is the data telling you with a positive or negative correlation?

If the data have a positive or negative correlation, it means the data have a linear relationship in the form of an equation of a line; or Y = mX + b.


What is a Pearson correlation and an example of it?

A Pearson correlation measures the strength and direction of a linear relationship between two continuous variables, ranging from -1 (perfect negative correlation) to 1 (perfect positive correlation). An example could be studying the correlation between the amount of rainfall and crop yield in agricultural research to understand how variations in rainfall affect crop productivity.


When doing linear regression if the correlation coefficient is positive the slope of the line is negative?

False.


What sorts of linear models have the property that y decreases as x increases?

A negative correlation


What is the meaning of no correlation?

It means that here is no linear relationship between the two variables. There may be a perfect non-linear relationship, though.