3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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3. We learned in class that for a given A, the f(r) that minimizes the cost function
i=1
is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the
penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.
Transcribed Image Text:3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a natural cubic spline with knots at the unique values of the data points r1,.., rn Explain why the penalty term A f{{"(x)}*dr can't equal infinity when f(r) is a natural cubic spline. Justify your answer.
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