Question

Andrea drew a regression line for this paired data set.

Her line passed through (1, 5) and (5, 13) .

What is the equation of Andrea's regression line?

yˆ

=x+5

yˆ =2x+3

yˆ =1.75x+6.25

yˆ =0.7x−2.5

Answer 1

The equation of the line that passes through the points

(1,5) and (5,13) is y=2x+3

Answer 2

The correct option is 2.

Explanation:

If a line passing through two points, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

It is given that Andrea drew a regression line for this paired data set. Her line passed through (1, 5) and (5, 13) .

The equation of Andrea's regression line is

`y-5=(13-5)/(5-1)(x-1)`

`y-5=(8)/(4)(x-1)`

`y-5=2(x-1)`

`y-5=2x-2`

`y=2x-2+5`

`y=2x+3`

The equation of Andrea's regression line is y=2x+3. Therefore correct option is 2.