If you had the following what model is most appropriate?

y 3 1 0 -1

x 2 1 0, 0

quadratic

linear

exponential

line

since it decreased, then came back to the last value, that indicates that it has started to rise again. Looks like a parabola (quadratic) to me.

wait a minute. I think you have x and y switched. You cannot have two y values for a single x value (0).

the 1st x value is 1/2

To determine the appropriate model for the given data, it is important to understand the relationship between the dependent variable (y) and the independent variable (x).

In the provided data, we have:

y: 3, 1, 0, -1
x: 2, 1, 0, 0

To determine the type of relationship between y and x, we can plot these data points on a graph.

Once you have plotted the points on a graph, you can visually analyze the relationship between the variables. Here's what the graph would look like:

|
3 +
|

2 +
|

1 +
|

0 + +
|

-1
|

-2 x
--------------
0 1 2

From the graph, it appears that the relationship between y and x is best represented by a straight line. This suggests a linear relationship.

Therefore, the most appropriate model for the given data is a linear model.