# What does the correlation coefficient of -0.962 from a regression line mean?

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### 1 Answer

The regression line

y = a + bx

slope *b* of the regression line is *=`-0.962`*

*The correlation coefficient=r((S_y)/(S_x))=-.962*

**When the slope of the regression line is negative (meaning that the value of b is negative) the value of y decreases as x increases**. The strength of these relationships is given by the correlation coefficient (r) which can be calculated.For paired data (*x,y*) we denote the standard deviation of the *x* data by *sx* and the standard deviation of the *y* data by *sy*. The formula for the

slope *b* of the regression line is -0.962* =`r((S_y)/(S_y))` *.