Practice - Curve Fitting by Least Squares
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Practice Questions
Test your understanding with targeted questions
Define curve fitting.
💡 Hint: Think about what it means to match a line or curve to collected data.
What is the least squares method used for?
💡 Hint: Consider how we ensure the curve fits the data well.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the least squares method minimize?
💡 Hint: Consider whether you want to minimize absolute differences or squared ones.
True or False: Fitting a parabola only applies to data with a linear trend.
💡 Hint: Think about what a parabola represents in graphical form.
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Challenge Problems
Push your limits with advanced challenges
Given a data set of points (1, 2), (2, 3), (3, 5), derive the coefficients for the best-fit line using the least squares method.
💡 Hint: Use the least squares formula for slope and intercept.
A data set follows a quadratic pattern. How would you establish this? Apply the least squares to fit it and explain your method.
💡 Hint: Set up the normal equations derived from the least squares criterion for quadratic functions.
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