PLEASEEEEE HELP ME About how tall would you expect one of these trees to be after 22 years ? A. 22.31 ft B. 35.2 ft C. 44.25 ft D. 46.2 ft

Question

asked Mar 5, 2019 12.1k views

2 Answers

Adriaanp · Answer 1 · 2019-03-09T15:06:51+0000

Answer:

The correct option is C.

Explanation:

The general form of linear regression equation is

y=a+bx .... (1)

where,

$b=\frac{\sum_(i=1)^nx_iy_i-n\overline{x}\overline{y}}{\sum_(i=1)^nx_i^2-n\overline{x}^2}$

$a=\overline{y}-b\overline{x}$

Using the graphing calculator, we get

a=0.0142857

b=2.01071

Substitute the values of a and b in equation (1).

y=0.0142857+2.01071x

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.

y=0.0142857+2.01071(22)

y=44.2499057

y=44.25

The height of trees after 22 years is 44.25 ft. Therefore the correct option is C.