By visual inspection ,determine the best fitting regression model for the scatter plot

if the scatter plot has a curve like the one attached does then it is quadratic  regression.

Step-by-step explanation:

Exponential growth is a specific way that a quantity may increase over time. ... Described as a function, a quantity undergoing exponential growth is an exponential function of time, that is, the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).

Exponential growth is a specific way that a quantity may increase over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.

This means if it has a curve that doesn't represent same value proportions to another axis. that is different to exponential then we say it is quadratic regression.

The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship.