Question: Problem 2: Interpolation, least squares, and finite difference Consider the following data table: 0 6 0.4 6.304 2 = f(x.) = 0.8 7.472 1.2 9.888

Problem 2: Interpolation, least squares, and finite difference Consider the following

Problem 2: Interpolation, least squares, and finite difference Consider the following data table: 0 6 0.4 6.304 2 = f(x.) = 0.8 7.472 1.2 9.888 Using Lagrange linear interpolation between data points .2 = 0.4 and 3 = 0.8, the value obtained at a = 0.5 is (Chop after 2 decimal places) O 6.59 None of the choices. O 7.12 O 6.88 O 6.97

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