randomness of data
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line of fit
Not necessarily. In a scatter plot or regression they would not.
a scatter plot is a piece of data that shows you how to make a prediction
You can have any two variables. In fact, you can also have just one variable over two points in time - for example, a scatter plot of the price of something plotted against the price of the same thing a year earlier.
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.