Question

What type of model should be used to make a prediction from the given data?

(0,0), (1,3), (2,4), (3, 3), (4, 1).

linear
cubic
square root
quadratic

Answer 1

I think that the answer is quadratic

Answer 2

Option d. quadratic is the answer.

Explanation:

When we plot the given points on a graph, we find that with the increase in values of x, y coordinates initially increase then decrease.

This clearly indicates to be a curve opening downwards.

A curve with its vertex as (0,0) will be represented by y = x² (Parabola).

If this curve is opening downwards that means it is y = -x²

Therefore, we can predict that the given data is of a quadratic equation.

Now we can check the graph by plotting the given points.

The given graph is representing y = -(x - 2)² + 4 which is a translated form of parent graph y = -x² (quadratic equation).

Therefore, Option d. quadratic is the answer.