numerical methods

This assignment will be counted as one of the quizzes Calculate your factor f as the very first thing in answering hw questions. E max (0.15, Jast two digits of your idy100). You data for the Hw is; X Y 99 2+214.1-3f 4+266.8-3f 5-2f8.7+3f 9-2f23.7+31 12-f|50.2+31 Qi. Fit a linear regression line to the data. Determine the coefficient of determination and correlation. Comment on the goodness of fit. (X is the independent variable and Y is the dependent variable. DO NOT use the excel function to fit a linear regression line) Q2. Draw the plot of the data and decide which data transformation to use (check the slides for three data transformations). Apply the data transformation you choose. Fit a linear regression line to the transformed data. Obtain the nonlinear line that fits to the data using the linear line you obtained. Determine the coefficient of determination and correlation (You need to use the nonlinear line, not the linear fit, when finding Sr). Comment on the goodness of fit. Q3. Fit a 3rd degree polynomial to the data. (You can use Matlab/excel to solve the system of linear equations). Find Sr. Q4. Fit a Newtonian polynomial to the data. Draw the fitted polynomial and the data on the same plot. To be submitted; - Word file with your calculations, answers, plots (you can use excel for calculations and imbed tables, plots into word). Word file will be graded, not excel file. - Excel file(s) used