In a simple regression with an intercept and a single explanatory variable,the variation in Y can be decomposed into the explained sums of squares and the sum of squared residuals (see,for example,equation (4.35)in the textbook).
Consider any regression line,positively or negatively sloped in {X,Y} space.Draw a horizontal line where,hypothetically,you consider the sample mean of Y to be.Next add a single actual observation of Y.
In this graph,indicate where you find the following distances: the
(i)residual
(ii)actual minus the mean of Y
(iii)fitted value minus the mean of Y

Question

In a simple regression with an intercept and a single explanatory variable,the variation in Y  can be decomposed into the explained sums of squares  and the sum of squared residuals  (see,for example,equation (4.35)in the textbook).
Consider any regression line,positively or negatively sloped in {X,Y} space.Draw a horizontal line where,hypothetically,you consider the sample mean of Y  to be.Next add a single actual observation of Y.
In this graph,indicate where you find the following distances: the
(i)residual
(ii)actual minus the mean of Y
(iii)fitted value minus the mean of Y

Quizplus · Accepted Answer

The Answer of In a simple regression with an intercept and a single explanatory variable,the variation in Y  can be decomposed into the explained sums of squares  and the sum of squared residuals  (see,for example,equation (4.35)in the textbook).
Consider any regression line,positively or negatively sloped in {X,Y} space.Draw a horizontal line where,hypothetically,you consider the sample mean of Y  to be.Next add a single actual observation of Y.
In this graph,indicate where you find the following distances: the
(i)residual
(ii)actual minus the mean of Y
(iii)fitted value minus the mean of Y

In a Simple Regression with an Intercept and a Single