Respuesta :
The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For a line of best-fit, the y-intercept is given by:
[tex]b = \overline{y} - m\overline{x}[/tex]
The parameters in this problem are given as follows:
[tex]m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088[/tex]
Then:
[tex]b = 10.088 - 4.915(14.347) = -60.428[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
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