1. Given the data x 01.01.5 2.3 2.54.05.16.06.5 7.8.19.0 0.2 08 2.5 2.5 3.5 4.3 .05.03.52.41.32.0 x9.311.011.312.1 13.1 14.0 15.5 16.017.5 17.819.0 20.0 f(x) -0.3 -1.3 -3.0 -4.0 -4.9 -4.0-5.2 -3.0 -3.5 -1.6 -1.4 -0.1 Choose the most suitable low order polynomial and fit it to this data using the least- squares criterion. Also examine methods of using the least-squares criterion to fit other suitable nonpolynomials (such as a sin function) to the data. 1. Given the data x 01.01.5 2.3 2.54.05.16.06.5 7.8.19.0 0.2 08 2.5 2.5 3.5 4.3 .05.03.52.41.32.0 x9.311.011.312.1 13.1 14.0 15.5 16.017.5 17.819.0 20.0 f(x) -0.3 -1.3 -3.0 -4.0 -4.9 -4.0-5.2 -3.0 -3.5 -1.6 -1.4 -0.1 Choose the most suitable low order polynomial and fit it to this data using the least- squares criterion. Also examine methods of using the least-squares criterion to fit other suitable nonpolynomials (such as a sin function) to the data