0 like 0 dislike
0 like 0 dislike
Linear Regression

1 Answer

0 like 0 dislike
0 like 0 dislike
r is the **correlation coefficient** and will be a number between -1 and +1.  The sign of r tells you whether the regression line is decreasing (r is negative) or increasing (r is positive).  If r is close to +1 or -1, then the linear relationship between the two variables is strong.  If r is close to 0, then the linear relationship is weak.

r^2 is the **coefficient of determination** and will be a number between 0 and 1.  Unlike r, you can not tell just from r^2 whether the slope of the regression line will be positive or negative.  You can however interpret r^2 as the percentage of variation in the y-values that is explained by the linear relationship with the x-values.  For example, if r^2 = 0.81 then 81% of the variation in the y-values is explained by the linear relationship with the x-values (i.e. the straight-line model with one independent variable is explaining most of what is going on).

No related questions found

24.8k questions

103k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!