You have the following 10 data points recorded in an experiment (x is the indepe...
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You have the following 10 data points recorded in an experiment (x is the independent variable and y is the dependent variable):
| 0.5 | 1.0 | 1.7 | 2.0 | 2.2 | 2.7 | 3.1 | 3.6 | 3.9 | 4.5 | |
| 13 | 17 | 19 | 23 | 28 | 31 | 35 | 11 | 45 | 5.4 |
You decide to use the built-in Python function nppoly.polyfit() to fit the data with a 9th order polynomial, using the input: p = nppoly.polyfit(x,y,9).
a) Find the value of for this fit. Give your answer to 2 decimal places.
b) Explain/interpret your value from the previous question (1 sentence).
c) 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 (2-4 sentences).