We have been given a graph that represents the data of population of butterflies since the 2005 migration cycle. We are asked to find the line of best fit for the given data.
Upon looking at our given data, we can see that the data has a negative correlation, so slope of line of best fit will be negative.
We can see that 2nd and 4th option has a negative slope. So our choice will be from these two options.
We can also see that the data shows only positive y-axis and x-axis.
We know that initial value is the point, where line intersects y-axis. Out line will intersect y-axis above 300, so y-intercept will be positive 320.
So our required equation would be
.
Therefore, 4th option is the correct choice.