You can have a line of best fit. It is the line that cuts through the points with the least amount of distance to all the data.
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No, it's not consider as a linear scatter plot, because, it's non-linear.
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A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.
a scatter plot is a piece of data that shows you how to make a prediction
In my view, the best plot for bivariate data is a scatter plot.