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

Answer:

Option B.

Step-by-step 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.