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One method fits a line by making the gaps between the line and the plotted readings as small as possible overall. What is that method called?
ALeast squares regression fitting of the line
BInterpolation between the plotted readings
CExtrapolation beyond the plotted readings
DRounding of the plotted readings to the line
Answer & Solution
Correct answer: A. Least squares regression fitting of the line
1. Every plotted reading sits some distance from any line drawn through the cloud of dots.
2. A fitting method can be judged by how small it makes those distances taken together.
3. The method that makes them as small as possible is least squares regression.
4. Interpolation is a way of predicting inside the readings, not a way of fitting a line.
5. Extrapolation is a way of predicting outside the readings, again not a fitting method.
6. Rounding readings onto a line would change the data rather than fit it, so option D is not a method at all.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.3 Fitting Linear Models to Data_
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