MATH102 December 2017
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Shown below are a number of functions approximating the data points
Choose the function with the smallest sum of squared residuals.
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!
We need to find the sum of the differences between the actual values (at the points) and the functional values.
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The sum of squared residuals, are computed as follows:
Function B: so it is not the smallest. The situation is similar for other functions.
Function D: Function E: Function F:
So Function has the smallest sum of squared residuals.