Find the least squares regression line for the points shown in the graph.
A) $y = \frac { 2 } { 5 } x + 1$
B) $y = \frac { 2 } { 5 } x + 2$
C) $y = \frac { 7 } { 10 } x + 1$
D) $y = \frac { 3 } { 10 } x + 2$
E) $y = \frac { 7 } { 10 } x + 2$

Question

Find the least squares regression line for the points shown in the graph. 
A) $y = \frac { 2 } { 5 } x + 1$ 
B) $y = \frac { 2 } { 5 } x + 2$ 
C) $y = \frac { 7 } { 10 } x + 1$ 
D) $y = \frac { 3 } { 10 } x + 2$ 
E) $y = \frac { 7 } { 10 } x + 2$

Quizplus · Accepted Answer

The least squares regression line can be obtained by finding the equation of the line that minimizes the sum of the squared distances between the line and each point. By using a calculator or regression tool, we can find that the equation of the least squares regression line for these points is $y = \frac{7}{10}x + 2$. Therefore, the answer is choice E.

Find the Least Squares Regression Line for the Points Shown y=25x+1y = \frac { 2 } { 5 } x + 1y=52​x+1

Find the Least Squares Regression Line for the Points Shown $y = \frac { 2 } { 5 } x + 1$