Line where the sum of the squares of the differences to all data points Mathematically speaking, the line that give the "best fit" is that line 3 does not fit the data points perfectly, but seems to have the best fit of these three lines.line 2 does not fit the data points very well because too many points are above the line.line 1 does not fit the data points very well because too many points are the the right.no straight line can pass through all data points exactly.In each case we have taken a line that somehow passes through the data points. What we mean by "fits best", but for now let's look at three examples: We want to fit a straight line through these data points in such a way In the previous section we came up with a Predict the freshmen GPA, if we know that the high school GPA ofĪnother student is, say, 3.4. High school GPA and the freshmen GPA, and we would like to be able to Would like to know whether there is a linear relationship between the School GPA and their freshmen GPA in college the subsequent year. Let's use the same example that we have used before:Ī group of 11 students was selected at random and asked for their high
Relationship, if any, and develop some formulas that will allow us to Related, but we want to determine the exact nature of that Time we again want to look at data from two variables that are possibly
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