Q: Why are two regression line?

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Regression techniques are used to find the best relationship between two or more variables. Here, best is defined according to some statistical criteria. The regression line is the straight line or curve based on this relationship. The relationship need not be a straight line - it could be a curve. For example, the regression between many common variables in physics will follow the "inverse square law".

The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.

on the lineGiven a linear regression equation of = 20 - 1.5x, where will the point (3, 15) fall with respect to the regression line?Below the line

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There are two regression lines if there are two variables - one line for the regression of the first variable on the second and another line for the regression of the second variable on the first. If there are n variables you can have n*(n-1) regression lines. With the least squares method, the first of two line focuses on the vertical distance between the points and the regression line whereas the second focuses on the horizontal distances.

Regression techniques are used to find the best relationship between two or more variables. Here, best is defined according to some statistical criteria. The regression line is the straight line or curve based on this relationship. The relationship need not be a straight line - it could be a curve. For example, the regression between many common variables in physics will follow the "inverse square law".

(mean x, mean y) is always on the regression line.

The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.

on the lineGiven a linear regression equation of = 20 - 1.5x, where will the point (3, 15) fall with respect to the regression line?Below the line

by regrsioning it.

Linear Regression is a method to generate a "Line of Best fit" yes you can use it, but it depends on the data as to accuracy, standard deviation, etc. there are other types of regression like polynomial regression.

yes.

There is no line that shows the correlation between two data sets. The correlation is a variable that ranges between -1 and +1.You may be thinking about regression which, although related, is not the same thing.There is no line that shows the correlation between two data sets. The correlation is a variable that ranges between -1 and +1.You may be thinking about regression which, although related, is not the same thing.There is no line that shows the correlation between two data sets. The correlation is a variable that ranges between -1 and +1.You may be thinking about regression which, although related, is not the same thing.There is no line that shows the correlation between two data sets. The correlation is a variable that ranges between -1 and +1.You may be thinking about regression which, although related, is not the same thing.

It is often called the "Least Squares" line.

line that measures the slope between dependent and independent variables

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