(a) Curve-fit the data with a third-order polynomial. Use the polynomial to estimate the height in week 6.

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Chapter2: Second-order Linear Odes
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Growth data of a sunflower plant is given in the following table:
Week
1
5 79
13
3
11
Height (cm)
22
51
127
202
227
248
252
(a) Curve-fit the data with a third-order polynomial. Use the polynomial to
estimate the height in week 6.
(b) Fit the data with linear and spline interpolations and use each interpola-
tion to estimate the height in week 6.
In each part make a plot of the data points (circle markers) and the fitted curve
or the interpolated curves. Note that part (b) has two interpolation curves.
Transcribed Image Text:Growth data of a sunflower plant is given in the following table: Week 1 5 79 13 3 11 Height (cm) 22 51 127 202 227 248 252 (a) Curve-fit the data with a third-order polynomial. Use the polynomial to estimate the height in week 6. (b) Fit the data with linear and spline interpolations and use each interpola- tion to estimate the height in week 6. In each part make a plot of the data points (circle markers) and the fitted curve or the interpolated curves. Note that part (b) has two interpolation curves.
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