Question by Student 201427122 professor, I think A Newton polynomial of Question #3 is (C), not (B). And at Question #1, $$y=C_1+C_2\sqrt x+C_3x$$, I use algorism by Least square - combination of functions. If I use algorism by just Least square, Is it same correct algorism?
 11.22.17
Your question is too messy, I can not read it. Don't use a capital letter to start a word within a sentence except for names or for "I". Always use a capital letter when starting a sentence. Check your spelling. After you correct those, I'll answer your question.
 Question by Student 201427122 Professor, I think that A newton polynomial of Question #3 is not (B) but (C). And at Question #1 $$y=C_1+C_2\sqrt x+C_3x,$$ I use algorism by Least square - combination of functions. I do like this: $$f_1(x_1)=1, f_2(x_2)=\sqrt x, f_3(x_3)=x.$$If I use algorism by just Least square, Is it same correct algorism?
Yes, this seems OK. You're on the right track. You need to further improve your spelling and orthograph thus.
 Question by Student 201529190 Dear professor, in Assignment #6 Question#3 .What mean is "multidimensional piecewise-linear interpolation" ? Is it use "multidimensional interpolation "solving ideas ,but use piecewise-linear method?
 11.26.17
Yes exactly!
 Question by Student 201529190 Dear professor, in Assignment #6 Question#3 .answer should be -0.9,0.7333. Given answer that the order is reversed
True. It's fixed now. 1 point bonus.
 Question by Student 201529193 professor, when we use cubic spline to interpolate n+1 points (x0,y0),(x1,y1),...(xn,yn), we can get n piecewise cubic polynomials for n intervals. However, why should we calculate n+1 b in the matrix?
 11.27.17
Because $b$ is needed on the boundary nodes as well as on the inner nodes to close the system. Thus, you need $N$ $b$, not $(N-1=n)$ $b$.
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