Student Question

If the line of best fit goes through all the points in a graph, what does that tell me of the data? 

Does that mean it is more reliable? Thank you very much! 

Expert Answers

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If you are looking at linear data points on a graph, the line of best fit is the one that passes through and closest to all of the points on the graph.  A value called the "r value" can be calculated to see how close all of the data points are to a perfectly linear relationship.  The closer the r value is to one, the better the linear fit is.  If the line of best fit passes perfectly through every data point then the data are not only reliable but perfectly linear in relation to each other.  The r value would be 1.  This is extremely rare with experimental data.  It would mean that the data points are highly reliable.

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