Task 1a: Explain what the least-squares problem and solution is. In the explanation the following words/phrases...

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Task 1a: Explain what the least-squares problem and solution is. In the explanation the following words/phrases must be used: Distance between vectors Normal equations Orthogonal projection Task 1b: Choose two functions fo(x) and f(x) which both have the form: y = xn ne Z Use the Python code least_squares_fitting.py to determine the value of the coefficients po and so that the function = Bo fo(x)+B fi(x) makes the best fit to the data in the document FittingData.txt. Justify your choice of functions. J Task 1a: Explain what the least-squares problem and solution is. In the explanation the following words/phrases must be used: Distance between vectors Normal equations Orthogonal projection Task 1b: Choose two functions fo(x) and f(x) which both have the form: y = xn ne Z Use the Python code least_squares_fitting.py to determine the value of the coefficients po and so that the function = Bo fo(x)+B fi(x) makes the best fit to the data in the document FittingData.txt. Justify your choice of functions. J