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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define curve fitting.
💡 Hint: Think about what it means to match a line or curve to collected data.
Question 2
Easy
What is the least squares method used for?
💡 Hint: Consider how we ensure the curve fits the data well.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the least squares method minimize?
- The sum of absolute values
- The sum of squared residuals
- The maximum value of differences
💡 Hint: Consider whether you want to minimize absolute differences or squared ones.
Question 2
True or False: Fitting a parabola only applies to data with a linear trend.
- True
- False
💡 Hint: Think about what a parabola represents in graphical form.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation