A linear regression is a regression that can be represented by a linear line of best fit.
The equation of the line of best fit is [tex]y = 2.4x +33.2[/tex]
How to determine the equation
From the graph, we have the following ordered pairs
(x,y) = (50,150) and (100,270)
The slope (m) is then calculated as:
[tex]m = \frac{270 - 150}{100 - 50}[/tex]
This gives
[tex]m = 2.4[/tex]
The regression line crosses the y-axis at b = 33.2
A linear regression is represented as:
y = mx + b
So, we have:
[tex]y = 2.4x +33.2[/tex]
Hence, the equation of the line of best fit is [tex]y = 2.4x +33.2[/tex]
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