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Given data with outliers, how can polynomial fitting be adapted to reduce outlier impact?

hard📝 Application Q9 of 15
SciPy - Curve Fitting and Regression
Given data with outliers, how can polynomial fitting be adapted to reduce outlier impact?
ARemove polyfit and use mean calculation
BIncrease polynomial degree to fit outliers exactly
CUse weighted polynomial fitting giving less weight to outliers
DFit polynomial only to x values
Step-by-Step Solution
Solution:
  1. Step 1: Understand outlier effect on fitting

    Outliers can distort polynomial fit if treated equally.
  2. Step 2: Use weighted fitting to reduce outlier influence

    Assigning lower weights to outliers reduces their impact on the fit.
  3. Final Answer:

    Use weighted polynomial fitting giving less weight to outliers -> Option C
  4. Quick Check:

    Weighted fitting reduces outlier effect [OK]
Quick Trick: Weight data points to lessen outlier influence [OK]
Common Mistakes:
  • Increasing degree to fit outliers
  • Ignoring outliers
  • Fitting only x values

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