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Suppose that a curve is icomputed to smoothly fit a set of points using the following formula
where represents the th derivtive of (and ). Provide the functional form of in the following scenarios.
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Suppose we fit a curve with basis functions , . We fit the regression model
and obtain the coefficient estimates as and . Plot the estimated curve between and .
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Consider the two curves and defined by
where represents the th derivative of .
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as , will or have the smaller training RSS ?
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as , will or have the smaller test RSS ?
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as , will or have the smaller training and test RSS ?