Question

After six weeks of the coupon offer, the owner of the restaurant needs to decide if the restaurant should continue to run the same special or offer a new one. Use the provided scatter plot to write an equation for the line of best fit.

Answer 1

The equation of the line of the best fit on the scatter plot is y = 150x  + 598

How to determine the equation of the line of best fit?

From the line in the scatter plot, we have the following points

(x,y) = (3,1048) and (6,1498)

The equation is then calculated using:

$y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_2$

The equation becomes

$y = \frac{1498 -1048}{6 - 3} *(x - 3) + 1048$

Evaluate

y = 150 *(x - 3) + 1048

Expand the bracket

y = 150x - 450 + 1048

Evaluate the sum

y = 150x  + 598

Hence, the equation of the line of the best fit is y = 150x  + 598

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