The equation that best represents the given data in the scatter plot can be determined by observing the trend indicated by the points and the trend line. Typically, the trend line suggests a linear, quadratic, or perhaps a more complex relationship between the variables.
To find the exact equation, one would usually perform a regression analysis. For a linear trend line, the equation would be of the form y = mx + b, where m is the slope and b is the y-intercept. If the trend is non-linear, such as a curve, the equation might resemble y = ax^2 + bx + c for quadratic relationships, or even more complex forms for polynomial or exponential relationships.
In practice, look at the scatter plot and identify the pattern. If the points tend to cluster around a straight line as they rise or fall, a linear equation is likely the best fit. Conversely, if the points show a curved pattern, a non-linear equation would be more appropriate.
Ultimately, analyzing the scatter plot and possibly using graphing software or statistical tools will help in determining which specific equation fits your data best.