Question

What is the equation of the line of best fit for the following data? Round the

slope and y-intercept of the line to three decimal places.
A y=-4.105x+1.560

B. y = 1.560x - 4.105

c. y= -1.560x+ 4.105

d. y = 4.105x – 1 560
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Answer 1

Answer: B. y = 1.560x - 4.105*****

Answer 2

Option B.

Explanation:

The general equation of best fit line is

`y=mx+b` .... (1)

where, m is slope and b is y-intercept.

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

`b=\overline{y}-b\overline{x}`

Using the graphing calculator we get

`m=1.56015\approx 1.560`

`b=-4.10526\approx -4.105`

Substitute m=1.560 and b=-4.105 in equation (1).

`y=1.560x-4.105`

The equation of the line of best fit for the following data y = 1.560x - 4.105.

Therefore, the correct option is B.