The equation of the regression line is y = 4/5x - 36/5
The equation of the regression line
From the graph, we have the following points
(x,y) = (29,16) and (34,20)
Calculate the equation of the line, using:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{20 -16}{34 -29} * (x - 16) + 29[/tex]
Evaluate the differences
[tex]y = \frac{4}{5} * (x - 16) + 29[/tex]
Expand
[tex]y = \frac{4}{5}x - \frac{4}{5}* 16 + 29[/tex]
Evaluate
[tex]y = \frac{4}{5}x - \frac{35}{5}[/tex]
This is approximately y = 4/5x - 36/5
Hence, the equation of the regression line is y = 4/5x - 36/5
Read more about regression equations at:
https://brainly.com/question/17844286
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