x = 12 hours will be the best estimated time.
In the graph attached y value represents the number of customers and the x value represents the time in hours the shop is open.
The equation which represents the whole system is y = 25.36x - 0.23
Now for the value of y = 310, we have to calculate the value of x.
Scattered data consists of a set of points X and corresponding values V, where the points have no structure or order between their relative locations. There are various approaches to interpolating scattered data. One widely used approach uses a Delaunay triangulation of the points.
We plug in the point (x, 310) in the equation
310 = 25.36x - 0.23
25.36x = 310.23
[tex]x=\frac{310.23}{25.36}[/tex]
x=12.23
Therefore the best estimate of hours that the store will have been open will be 12.
To learn more about the scattered data visit:
https://brainly.com/question/2749543
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