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

Answer:

y = 1.383x - 1.526

Step-by-step explanation:

Intercept-    -1.526

Slope-  1.383

Line of best fit- y = 1.383x - 1.526

Answer 2

Answer:

$y=1.383x-1.526$

Step-by-step 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 $y=1.383x-1.526$.