Final answer:
To estimate the value of y when X=14, one would usually use the line of best fit, but with the given points not following a recognizable pattern, it's impractical to do so without advanced statistical tools.
Step-by-step explanation:
To estimate the value of y when X=14 using the provided set of data points (-2,18), (0,7), (3,16), (4,25), (6,60), you would typically try to find the line of best fit through the points and then use that line to predict the value of y for X=14. However, without calculation tools or a graphing method, it's challenging to determine an exact equation for the line of best fit from the given points, as they do not follow a clear linear, quadratic, or any recognizable pattern.
Instead, I will demonstrate a simple linear interpolation between the two points closest to X=14, even though this method would be less accurate for values of X beyond the range of provided data points.
Since the points (6,60) and (4,25) are the highest X values given, we cannot interpolate and thus cannot confidently predict the value of y when X=14 based on these points alone. To better answer the question, additional methods such as regression analysis would be needed to derive an equation based on more sophisticated statistical techniques.