Find the least squares approximation of the the data (0, 1), (1, 2), (2, 1/2) (3, 3) using the quadratic function p(x) = a_0 + a_1 x + a_2 x^2. plot p(x) along with the data to compare.

The required function is .

Step-by-step explanation:

The given data points are (0, 1), (1, 2), (2, 1/2) and (3, 3).

Let the quadratic function is defined as

             .... (1)

Using graphing calculator, we get

Substitute , and in function (1), to find the quadratic function.

Therefore the required function is .

The graph of data points and quadratic function is shown below.

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