Given:
The given graph shows the scatter points.
We need to determine the equation for the line of best fit.
Slope of the equation:
From the figure, it is obvious that the slope of the line is [tex]m=2.33[/tex]
Rounding off to the nearest tenth, we get;
[tex]m=2.3[/tex]
Thus, the slope of the equation is [tex]m=2.3[/tex]
Value of y - intercept:
From the figure, it is obvious that the y - intercept is [tex]b=33.153[/tex]
Rounding off to the nearest tenth, we get;
[tex]b=33.2[/tex]
Thus, the y - intercept of the equation is [tex]b=33.2[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y=mx+b[/tex]
Substituting [tex]m=2.3[/tex] and [tex]b=33.2[/tex], we get;
[tex]y=2.3x+33.2[/tex]
Thus, the equation for the line of best fit is [tex]y=2.3x+33.2[/tex]
