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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
A. y= -1.5x + 6
B. y= 1.5x +6
C. y= 1.5x - 12
D y=2x+6

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the lineA y 15x 6B y 15x 6C y 15x 12D y2x6 class=

Respuesta :

We can rule out choice A because the slope for choice A is negative, but the line is not moving downhill (read it from left to right)

We can also rule out choice C as the y intercept is definitely not -12. The y intercept is some positive value above 5, so 6 is probably a good guess or the correct y intercept.

This leaves choice B or choice D. They both have a y intercept of 6, so let's ignore that part. The slopes are different. For choice B we have 1.5 as the slope and choice D we have 2 as the slope.

Pick the two points closest to the line which are (4, 12) and (20,36). Start by using the graph to find the two closest points. Then use the table to confirm that you have the proper numeric values.

Slope formula:
m = (y2-y1)/(x2-x1)
m = (36-12)/(20-4)
m = 24/16
m = 1.5

So this points to choice B as the final answer

abidemiokin

Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6

The standard formula of expressing the equation of a line is;

y = mx + b where;

m is the slope

b is the y-intercept

Using the coordinate points (20,36) and (4, 12)

Get the slope:

[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]

The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6

Get the required equation:

[tex]y=mx+b\\y=1.5x + 6[/tex]

Hence the required for the linear model in the scatter plot is y = 1.5x + 6

Learn more here: https://brainly.com/question/17003809

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