Practice Fitting A Parabola (4.2) - Statistics - Mathematics III (PDE, Probability & Statistics)

Practice: Fitting a Parabola

Lesson 4.2Statistics

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the general form of a parabolic equation?
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Think about what we discussed today.
Question 2.
What does the term 'a' represent in the equation?
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This is where the curve hits the y-axis.
3Question 3.
What is the equation of a parabola used for fitting data?
- y = mx + b
- y = a + bx + cx²
- y = a + bx
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Think about the shape!
4Question 4.
True or False: The least squares method is only applicable to linear models.
- True
- False
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Recall what we discussed about curve fitting!
Question 5.
An analysis of a sports team's performance shows that scores initially rise but later decline over several games. Create a model using a parabola to predict future outcomes. Provide your fitted model's coefficients.
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Examine the trends in the dataset when determining your coefficients.
Question 6.
For a certain crop yield at different water levels, the data points collected suggest a parabolic trend. How would you fit a parabola, and what steps would you take to evaluate your model's efficiency?
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Ensure you validate your model with residual analysis after determining coefficients.

4 more questions in this section. Enroll free to practise them all.