IGNOU MMT 2 2026 - Use least squares method to find a quadratic polynomial that fit

Question

Use least squares method to find a quadratic polynomial that fits the following data:

(-2, 15.7), (-1, 6.7), (0, 2.7), (1, 3.7), (2, 9.7).

10 Jan 2026

Answer :

Word Count : 185

Let the required quadratic polynomial be ( y = ax^2 + bx + c ). For the data points ((-2,15.7), (-1,6.7), (0,2.7), (1,3.7), (2,9.7)), compute the needed sums: [ \sum x = 0,\quad \sum x^2 = 10,\quad \sum x^3 = 0,\quad \sum x^4 = 34 ] [ \sum y = 38.5,\quad \sum xy = -15,\quad \sum x^2y = 112 ] The normal equations for least squares fitting of (y =

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