It depends on what you are trying to do.
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When the data on the graph is continuous,it does make sense to connect the points on the graph of 2 related variables.
You do not connect the dots on a graph when the data points are discrete and not continuous. In other words, when the values represent distinct and unrelated data points rather than a continuous sequence. Connecting the dots in such cases would imply a relationship or trend between the points that does not exist. It is important to consider the nature of the data being represented to determine whether connecting the dots is appropriate.
either a scatter graph or a line graph xx :)
The graph showed the results from his experiment. You can graph the data points to see what type of curve your equation defines.
a non linear graph pretty much means the points on the graph do not create a straight line. in order for a graph to be linear both the x axis and y axis have to increase/decrease at a constant rate, while in a non-linear graph when you connect the point it creates a line that isn't straight. however, in experimental data if the points are a bit off, but still in one general area, it can be considered linear.