Use residuals to assess the strength of the model for a data set.
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Below is a set of data.
On the left is an incorrect line of best fit, and on the right is the least squares regression line.
$${y=x+1}$$$${y=.9x+2.5}$$
A student explains that the line on the left is more appropriate, because it goes through three points in the data set.
What calculations can you do to convince this student that even though the line of best fit does not go through any of the points on the graph on the right, it is a better model for the data?
What function will be the best fit for this set of data? How can we use residuals to determine this?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Meerkats have a gestation time of days.
Algebra I > Module 2 > Topic D > Lesson 15 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..