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

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

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

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

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