Which of the following statement is false about a quadratic spline with 2 knots? A. It has 5 degrees of freedom. B. The fitted curve is continuous at each knot. C. The fitted curve maintains continuity of the first derivative at each knot. D. The fitted curve maintains continuity of the second derivative at each knot.
Added by Andrea M.
Step 1
A quadratic spline with 2 knots has 3 intervals, and in each interval, the function is a quadratic polynomial. Since a quadratic polynomial has 3 coefficients, the total number of coefficients for the spline is 3 * 3 = 9. However, we have continuity constraints at Show more…
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