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Q: Which is the best equationof a line of best fit this scatterplot?

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It is very useful and interesting to be able to enter data for two variables, graph those points in a scatter plot, and then generate a line of best fit through those points. From the line of best fit, it is fairly simple to generate a linear equation. A line of best fit is drawn through a scatterplot to find the direction of an association between two variables. This line of best fit can then be used to make predictions.

It tells you that if there were a linear relationship between the two variables, what that relationship would look like and also how much the observations differed from that linear fit.

It tells you that if there were a linear relationship between the two variables, what that relationship would look like and also how much the observations differed from that linear fit.

It is a line that passes through or nearly passes through the plotted points on the coordinated grid.

Yes but phrased differently

The line of best fit does not have to start from 0.

The line that minimized the sum of the squares of the diffences of each point from the line is the line of best fit.

A line of best-fit.

Because the "best fit" line is usually required to be a straight line, but the data points are not all on one straight line. (If they were, then the best-fit line would be a real no-brainer.)

The line of best fit is the best possible answer you can get from raw data. They also can be used to make predictions.

Finding the line of best fit is called linear regression.

The line of best fit does not have to pass through the 0 (origin) and rarely does

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