Question

Andrea drew a regression line for this paired data set.

Answer 1

The equation of the line that passes through the points

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

Answer 2

Answer:

The correct option is 2.

Step-by-step explanation:

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-5=\frac{13-5}{5-1}(x-1)$

$y-5=\frac{8}{4}(x-1)$

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

$y-5=2x-2$

$y=2x-2+5$

$y=2x+3$

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