MATLAB QUESTION

You have the following 10 data points recorded in an experiment (x is the independent variable and y is the dependent variable):

a) You decide to use the built-in Matlab function polyfit() to fit the data with a 9th order polynomial, using the input: p = polyfit(x,y,9).

Find the value of r² for this fit. explain this answer

b) These data points describe the percentage of surveyed people, y, who have been to the dentist within the last x years. Discuss your interpretation of the fit and what it means for interpolated and/or extrapolated values using this function. Explain your reasoning

0.5 13 1.0 17 1.7 19 2.0 23 2.2 28 2.7 31 3.1 35 3.6 44 3.9 45 4.5 54