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The line of best fit is a concept in statistics rather than algebra. Given two variables, X and Y, they can be plotted (a scatter plot). Before going any further, it is good practise to look at the scatter plot and see if the points look like they are approximately in a straight line. If not, a line of best fit is not appropriate: you may need to transform one or both variable.

For each observed value, xi, there will be a value yi where i ranges over all the observations: that is, your data comprises the set of ordered pairs (xi, yi). You can then draw a line over the scatter plot. Many points will not lie on the line but some distance above or below it. If the value on the line. corresponding to xi is yi-fitted, then ei = (yi-fitted - yi) is the error between the fitted and observed values. Then the line of best fit is the one which minimises the sum of (ei)2.

It is not easy to explain this in plain text, and more so when you are handicapped by a rubbish browser. Although the calculations may look daunting, they are not that bad, and there packages which will do away with the drudgery.

Q: What is the line of best fit mean in algebra?

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a line of fit mean perfect line.

Yes but phrased differently

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.)

Finding the line of best fit is called linear regression.

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you mean line of best fit?

a line of fit mean perfect line.

Yes but phrased differently

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.)

What is the difference between a trend line and a line of best fit

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

Finding the line of best fit is called linear regression.

A best-fit line is the straight line which most accurately represents a set of data/points. It is defined as the line that is the smallest average distance from the data/points. Refer to the related links for an illustration of a best fit line.

Check out the related links section below to see an example of a line of best fit.

The line of best fit is simply the line that shows the general direction of the graph. The trick is to make the line go through as many points on the graph as possible. Some scatter plots have no line of best fit.