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Why are two regression line?

Updated: 9/25/2023
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Q: Why are two regression line?
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Why are there two regression lines?

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.


What is regression line?

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".


A point that is always on the regression line?

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


What is regression coefficient and correlation coefficient?

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.


Given a linear regression equation of equals 20 - 1.5x where will the point 3 15.5 fall with respect to the regression line?

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


How do you solve regression line?

by regrsioning it.


Is the line of best fit the same as linear regression?

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.


Are regression and trend line the same?

yes.


What is a line that shows the correlation between two data sets called?

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.


What is another name for the regression line?

It is often called the "Least Squares" line.


What is the line of regression?

line that measures the slope between dependent and independent variables


What is the regression line that is superimposed on the scatter plot?

trur