Answer:
The correct option is C.
Step-by-step explanation:
The general form of linear regression equation is
[tex]y=a+bx[/tex] .... (1)
where,
[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]
Using the graphing calculator, we get
[tex]a=0.0142857[/tex]
[tex]b=2.01071[/tex]
Substitute the values of a and b in equation (1).
[tex]y=0.0142857+2.01071x[/tex]
The equation of line of best fit is y=0.0142857+2.01071x, where x is number of years and y is height of trees.
Substitute x=22 to find the height of trees after 22 years.
[tex]y=0.0142857+2.01071(22)[/tex]
[tex]y=44.2499057[/tex]
[tex]y=44.25[/tex]
The height of trees after 22 years is 44.25 ft. Therefore the correct option is C.
