. Fit the following data in the table using: a) cubic spline interpolation, b) linear regression, and c) cubic regression. I 1 y 26.7 2 20.2 3 16.8 4 15.3 5 6 7 8 9 10 15.1 9.3 5.1 2.8 -1.1 -8.4 a) Plot the data points and all the fitting curves - make sure you provide a legend. b) Between linear and cubic regression, which one is the better fit? (use the coefficient of determination R² to assess that) c) Determine the value of y when x = 7.2 using the better regression model and print the value out

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. Fit the following data in the table using: a) cubic spline interpolation, b) linear regression, and c) cubic
regression.
I
1
y
26.7
2
20.2
3
16.8
4
15.3
5
6
7
8
9
10
15.1 9.3
5.1
2.8
-1.1
-8.4
a) Plot the data points and all the fitting curves - make sure you provide a legend.
b) Between linear and cubic regression, which one is the better fit? (use the coefficient of determination R²
to assess that)
c) Determine the value of y when x = 7.2 using the better regression model and print the value out
Transcribed Image Text:. Fit the following data in the table using: a) cubic spline interpolation, b) linear regression, and c) cubic regression. I 1 y 26.7 2 20.2 3 16.8 4 15.3 5 6 7 8 9 10 15.1 9.3 5.1 2.8 -1.1 -8.4 a) Plot the data points and all the fitting curves - make sure you provide a legend. b) Between linear and cubic regression, which one is the better fit? (use the coefficient of determination R² to assess that) c) Determine the value of y when x = 7.2 using the better regression model and print the value out
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