Yes, a coefficient of a variable can be negative.
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The dependent variable has an inverse linear relationship with the dependent variable. When the dependent increases, the independent decreases, and conversely.
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.
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A coefficient is a number before a variable. For example, in 2x, the 2 would be the coefficient
The Coefficient