Respuesta :
Answer:
The y-intercept of the line is −4.683.
Step-by-step explanation:
Given information: Slope = 2.334, [tex]\overline{x}=6.607[/tex] and [tex]\overline{y}=10.738[/tex].
The general equation of line of best fit is
[tex]y=a+bx[/tex]
where, a is y-intercept and b is slope.
[tex]b=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]
[tex]a=\overline{y}-b\overline{x}[/tex]
We need to find the value of y-intercept (value of a).
Substitute [tex]\overline{x}=6.607[/tex], [tex]\overline{y}=10.738[/tex] and b=2.334 in the above equation.
[tex]a=10.738-2.334(6.607)[/tex]
[tex]a=10.738-15.420738[/tex]
[tex]a=-4.682738[/tex]
[tex]a\approx -4.683[/tex]
Therefore the y-intercept of the line is −4.683.
