what is a good equation for a scatter plot with no correlation?

A scatter plot with no correlation indicates that there is no relationship or pattern between the two variables being plotted. In this case, any equation would be acceptable as long as it shows no trend or correlation.

A common example would be the equation of a horizontal line, where the y-coordinate remains constant for all values of x:

y = constant

For instance:

y = 5

This equation results in a scatter plot where the y-coordinate is the same (5) regardless of the x-coordinate, indicating no correlation between the variables.