Question

Please use RStudio, thanks!
3. This problem uses the prostate data set in the faraway package.

(a) Plot lpsa against lcavol. Use the R function lm() to fit the regressions of lpsa on lcavol and lcavol on lpsa.
(b) Display both regression lines on the plot. At what point do the two lines intersetct? Give a brief explanation.

Answer 1

From the property of linear Regression model we know that regression line will always passes through the () if we fit the model y on x

and it will also pass through the same point if we fit x on y because the points will remain the same.

So the line passes through