Does Switching the Explanatory and Response Variables?
Switching the Explanatory and Response Variables Will Not Change the Least-Squares Regression Line. Ii. the Slope of the Line Is Very Sensitive to Outliers in...
Switching the explanatory and response variables will not change the least-squares regression line. II. The slope of the line is very sensitive to outliers in the x direction with large residuals. ... A value of r^2 close to 1 does not guarantee that the relationship between the variables is linear.
What happens if you switch the explanatory and response variables?
Facts about the least–squares regression line
The distinction between the explanatory and response variables is important. Since the regression line only looks at the deviations of the data points from the line in the vertical direction, if we switch the variables we will get a different regression line.
What effect does switching the explanatory and response variables have on the correlation coefficient?
The correlation does not change when the units of measurement of either one of the variables change. In other words, if we change the units of measurement of the explanatory variable and/or the response variable, it has no effect on the correlation (r).