Answer:
[tex]y=1.383x-1.526[/tex]
Step-by-step explanation:
The given data table is
x : 4 7 10 12 13
y : 5 7 12 14 18
We need to find the equation of the best fit line.
The general form of a best fit line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
[tex]m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]
[tex]b=\overline{y}-b\overline{x}[/tex]
Using the graphing calculator we get
[tex]m=1.38321\approx 1.383[/tex]
[tex]b=-1.52555\approx -1.526[/tex]
Substitute m=1.383 and b=-1.526 in equation (1).
[tex]y=1.383x-1.526[/tex]
Therefore, the equation of best fit line is [tex]y=1.383x-1.526[/tex].
