How do I find a polynomial equation with MATLAB if I only have points on the curve?

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I have seven points on the curve and none of them are intercepts. How would I find the answer WITHOUT using any of the polynomial-specific functions (e.g. polyfit())?
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B
B am 22 Nov. 2017
James Tursa, this is homework. I do not know how to do a least squares polynomial fit. Is that process the algorithm for polyfit?

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