Question

Use technology to create an appropriate model of the data. (-2,-9), (0,-3), (1,0), (3,6), (5,12)

Answer 1

Answer with explanation:

A line of best fit is that linear line which shows appropriate relation between two variables which is Quantitative in nature.It may pass through all the points, some of the points or none of the point in coordinate plane that is set of points given.

→→Set of Points lying in the coordinate plane

(-2,-9), (0,-3), (1,0), (3,6), (5,12)

The regression line will pass through all five points,  (-2,-9), (0,-3), (1,0),(3,6) and (5,12).

Equation of line passing through two points by selecting any points among five points ,chosen two points (0,-3), (1,0),  is given by

$\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{y-0}{x-1}=\frac{-3-0}{0-1}\\\\ y=3(x-1)$

Points, (-2,-9),(3,6),and (5,12) satisfies the equation of the line , y=3 x -3.

So, equation of Regression line is

  y=3 x-3

Answer 2

Screenshots of the model are attached.