What does the correlation coefficient of -0.962 from a regression line mean?
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))` .