Question

practice modeling real-world scenarios using linear, quadratic, or exponential regressions. which type of function best models the data shown on the scatterplot?

Explanation:

Step1: Analyze the shape of the scatter - plot

A linear function has a straight - line pattern. An exponential function has a pattern that either grows or decays at an increasing or decreasing rate (like a J - shape or a reverse J - shape). A quadratic function has a parabolic shape (either opening up or down).
Looking at the scatter - plot, we can observe that the data points first increase and then decrease. This is characteristic of a quadratic function. A quadratic function \(y = ax^{2}+bx + c\) (where \(a
eq0\)) has a parabolic graph. If \(a<0\), the parabola opens downwards (which is the case here as the data first rises and then falls).

Answer:

Quadratic function