Problem 3 (10 points, CCO 2) An experiment produces 4 measur…
Problem 3 (10 points, CCO 2) An experiment produces 4 measurements for the pair . The experiment is repeated 4 times resulting in the below 4 different data sets A, B, C, and D. Data Set A2 measurements yielding the same values of 2 3 3 4 4 5 5 7 Data Set Bsame value of in all entries 0 1 2 3 5 5 5 5 Data Set Csame value of in all entries 2 2 2 2 -1 0 7 5 Data Set D4 unique data pairs with unsorted -2 -1 2 1 -1 5 0 1 For the methods as covered in class, answer the following questions with either Y for Yes, or N for No. Can linear least squares regression be used for data set A? Can linear least squares regression be used for data set B? Can linear least squares regression be used for data set C? For data set A, does polynomial regression for a quadratic polynomial result in a function that passes through all data points? For data set A, can interpolation with Lagrange polynomials be done? For data set B, can interpolation with Lagrange polynomials be done? Does the method covered in class to generate a cubic spline result in a valid interpolation method for data set D?
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