Question

HURRY IM BEING TIMED! The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny’s house.

Answer 1

Answer:

$y = \frac{11}{8}x + 50$

Step-by-step explanation:

Given

See attachment for plot

Required

The line of best fit

From the attached plot, we have:

$(x_1,y_1) = (0,50)$

$(x_2,y_2) = (80,160)$

Calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

So, we have:

$m = \frac{160 - 50}{80-0}$

$m = \frac{110}{80}$

$m = \frac{11}{8}$

The line of best fit is then calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = \frac{11}{8}(x - 0) + 50$

$y = \frac{11}{8}x + 50$