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Find the best parabola to fit the data points: (−2, 2),(0, 1),(1, 1),(2, 3).

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User Doug F
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1 Answer

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Final answer:

To find the best parabola to fit the data points, use the method of least squares regression.

Step-by-step explanation:

To find the best parabola to fit the data points, we can use the method of least squares regression. This involves finding the equation of the parabola that minimizes the sum of the squared differences between the actual data points and the predicted values from the parabola.

Using a graphing calculator, we can enter the data points and plot them on a scatter plot. Then, we can use the calculator's regression function to find the equation of the least-squares regression line, which in this case will be a parabola.

After finding the equation, we can plot the parabola on the same graph as the scatter plot to visualize how well it fits the data.

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User SVG
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