The function that best models the data set is y = 3x + 11
"The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"
"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is, [tex]\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}[/tex] "
For given question,
If we draw the line of best fit, then the the line would pass through points (3, 20) and (8, 35)
Let [tex](x_1,y_1)=(3, 20),(x_2,y_2)=(8, 35)[/tex]
Then the equation of the line would be,
[tex]\Rightarrow \frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1} \\\\ \Rightarrow \frac{y-20}{35-20} =\frac{x-3}{8-3} \\\\ \Rightarrow \frac{y-20}{15} =\frac{x-3}{5} \\\\ \Rightarrow y-20=15\times \frac{x-3}{5}\\\\ \Rightarrow y-20=3(x-3)\\\\ \Rightarrow y-20=3x-9\\\\ \Rightarrow y=3x+11[/tex]
Therefore, the function that best models the data set is y = 3x + 11
Learn more about the equation of the line here:
https://brainly.com/question/2564656
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