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The least squares method is used to fit a quadratic polynomial of the form: \[ y = ax^2 + bx + c \] to the given data points: \((-2, 15.7)\), \((-1, 6.7)\), \((0, 2.7)\), \((1, 3.7)\), and \((2, 9.7)\). ### Step 1: Set Up the Normal Equations The least squares approach requires solving the normal equations: \[ \sum y = a \sum x^2 + b \sum x + c n \] \[ \sum xy = a \sum x^3 + b \sum x^2 + c \sum x \] \[ \sum x^2y = a \sum x^4 + b \sum x^3 + c \sum x^2 \] where: - \( n = __________ ___ __________ _____ ____ _______ ______ __________ ____ ____ ________ _____.
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