Question

h. a scatterplot showing the salary and years of experience of the employees of a company is shown. what type of function best models this relationship?

Explanation:

Step1: Analyze the scatter - plot trend

Observe the general direction and curvature of the data points. In a linear function, the data points would approximately follow a straight - line pattern. In a quadratic function \(y = ax^{2}+bx + c\) (\(a
eq0\)), the data would have a parabolic (U - shaped or inverted U - shaped) trend. In an exponential function \(y = ab^{x}\) (\(a
eq0,b>0,b
eq1\)), the data would show a rapid increase or decrease.
Looking at the scatter - plot of salary (dependent variable) versus years of experience (independent variable), the data points seem to follow a pattern that can be approximated by a straight - line. Although there is some scatter, the overall trend is such that as the years of experience increase, the salary increases in a relatively consistent, non - curved (linear) fashion.

Answer:

A linear function best models this relationship.