To fit a curve of the form
𝑦
=
𝑎
𝑥
2
+
𝑏
𝑥
+
𝑐
y=ax
2
+bx+c to the given data, we can use the method of least squares. The process involves solving a system of linear equations for
𝑎
a,
𝑏
b, and
𝑐
c based on the data points. Here's how we can proceed:
Given Data:
𝑥
=
[
87.5
,
84
,
77.8
,
63.7
,
46.7
]
x=[87.5,84,77.8,63.7,46.7]
𝑦
=
[
292
,
283
,
270
,
235
,
197
]
y=[292,283,270,235,197]
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