Question

Question: What is the equation of this trend line?

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K=_ J+_

Answer 1

Take 2 points (J,K)

• (2,24)
• (4,20)

`\\ \tt\longmapsto m=(20-24)/(4-2)=(4)/(2)=2`

Equation

`\\ \tt\longmapsto K-24=2(J-2)`

`\\ \tt\longmapsto K-24=2J-4`

`\\ \tt\longmapsto K=2J+20`

Answer 2

A trend line is a straight line that illustrates the points on a scatter plot.

The equation of the trend line is: k = -2j + 24

Explanation:

From the graph, we have the following points

(j, k) = (6, 12)(4, 16)

Start by calculating the slope

m = k2 - k1 / j2 - j1

So, we have:

m= 16 - 12 / 4 - 6

m = 4 / -2

m= -2

The equation is then calculated as:

k=m(j – j1) + k1

This gives:

k= -2(j - 6) +12

Expand

k= -2j + 12 +12

k= -2j + 24