Question

What is the equation of the line best fit for the following data? Round the slope and y-intercept of the line to three decimal places. X=4,7,10,12,13 y= 5,7,12,14,18

Answer 1

y = 1.383x - 1.526

Explanation:

Intercept- -1.526

Slope- 1.383

Line of best fit- y = 1.383x - 1.526

Answer 2

`y=1.383x-1.526`

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

`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=1.38321\approx 1.383`

`b=-1.52555\approx -1.526`

Substitute m=1.383 and b=-1.526 in equation (1).

`y=1.383x-1.526`

Therefore, the equation of best fit line is
`y=1.383x-1.526`.