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Effects of Data Changes Using Least Squares Method

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Consider the following dataset: (20,525) (17,57) (10,19) (9,18) (7,14) (16,41) (3,5) (5,10) (10,23) (12,24) (9,15) (20,571) (18,102) (16,56). Calculate a best fit equation using the Least Squares Method. Now, add 20 to each y-value of the dataset. Explain what happens to the Least Squares equation in this case. Contrast this with what happens when you multiply each x-value by 2 and then recalcuate the Least Squares equation.

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Solution Summary

The effects of data changes using least squares methods are provided. Methods are used to solve functions.

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Consider the following dataset: (20,525) (17,57) (10,19) (9,18) (7,14) (16,41) (3,5) (5,10) (10,23) (12,24) (9,15) (20,571) (18,102) (16,56). Calculate a best fit equation using the Least Squares Method. Now, add 20 to each y-value of the dataset. Explain what happens to the Least Squares equation in this case. Contrast this with what happens when ...

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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