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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?

Negative


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 a large but not perfect positive linear correlation?

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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.


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.


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 is Karl pearsons correlation co-efficient?

Pearson's correlation coefficient, also known as the product moment correlation coefficient (PMCC), and denoted by r, is a measure of linear agreement between two random variable. It can take any value from -1 to +1. +1 indicates a perfect positive linear relationship between the two variables, a value of 0 implies no linear relationship whereas a value of -1 shows a perfect negative linear relationship. A low (or 0) correlation does not imply that the variables are unrelated: it simply means a there is no linear relationship: a symmetric relationship will give a very low or zero value for r.The browser which we are compelled to use is not suited for any serious mathematical answer and I suggest that you look up Wikipedia for the formula to calculate r.