Answer:
The correct option is 2.
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
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
[tex]y-5=\frac{13-5}{5-1}(x-1)[/tex]
[tex]y-5=\frac{8}{4}(x-1)[/tex]
[tex]y-5=2(x-1)[/tex]
[tex]y-5=2x-2[/tex]
[tex]y=2x-2+5[/tex]
[tex]y=2x+3[/tex]
The equation of Andrea's regression line is y=2x+3. Therefore correct option is 2.
