Answer the question below. ( Linear Algebra and Numerical Method, Computer Science)

It is expected that you would be limited to using the functions in the course Library of MATLAB Procedures (Lin_LS, Quad_LS, Cubic_LS, and polyfit for n = 4, 5, 6), however, if you wish (and think are able) to use more advanced methods (e.g., other MATLAB functions based on more sophisticated techniques) you can do that.

Problem 2 Background and Data: Wolfgang Amadeus Mozart (1756-1791) was one of the most prolific composers of all time. In 1862, the German musicologist Ludwig von Kchel made a chronological list of Mozart's musical work. This list is the source of the Kchel numbers, or "K numbers", that now accompany the titles of Mozart's pieces (e.g., Sinfonia Concertante in E-flat major, K. 364). The table below gives the Kchel numbers and composition dates of 17 of Mozart's works. K. No Year 1 43 75 155 196 219 271 318 351 385 425 466 503 537 575 599 626 1761 1767 1771 1772 1774 1775 1777 1779 1780 1782 1783 1785 1786 1788 1789 1791 1791 Questions: . Construct the linear, quadratic, and cubic Least Squares Approximations for the data and determine the best one. Mozart's String Quartet K. 173 was composed in 1773. What applied models predict the correct date? If Mozart had lived, when would he have finished his next 100 works, i.e., in what year, in accordance with the linear, quadratic, and cubic models, would he have finished K. 726? Which number out of the three seems to be most reliable? Why? . Problem 2 Background and Data: Wolfgang Amadeus Mozart (1756-1791) was one of the most prolific composers of all time. In 1862, the German musicologist Ludwig von Kchel made a chronological list of Mozart's musical work. This list is the source of the Kchel numbers, or "K numbers", that now accompany the titles of Mozart's pieces (e.g., Sinfonia Concertante in E-flat major, K. 364). The table below gives the Kchel numbers and composition dates of 17 of Mozart's works. K. No Year 1 43 75 155 196 219 271 318 351 385 425 466 503 537 575 599 626 1761 1767 1771 1772 1774 1775 1777 1779 1780 1782 1783 1785 1786 1788 1789 1791 1791 Questions: . Construct the linear, quadratic, and cubic Least Squares Approximations for the data and determine the best one. Mozart's String Quartet K. 173 was composed in 1773. What applied models predict the correct date? If Mozart had lived, when would he have finished his next 100 works, i.e., in what year, in accordance with the linear, quadratic, and cubic models, would he have finished K. 726? Which number out of the three seems to be most reliable? Why