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.

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 class=

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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:

[tex]y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_2[/tex]

The equation becomes

[tex]y = \frac{1498 -1048}{6 - 3} *(x - 3) + 1048[/tex]

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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