It can do but does not have to.
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A scatter plot will show the data points on a straight line through the origin, whose slope is the constant of proportionality.
A scatter graph may use a positive correlation or negative correlation, to shows points of the graph in either a dipping or climbing line, and is fairly easy to read the data. A zero correlation is when the points are scattered across the graph and this can make seeing the data difficult. It's a bit like "dot to dot" in a children's puzzle book, but without the numbers at the side of the dots!
I like to use age and height in a scatter plot using male and female separate then together. It shows two lines of regression.
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It is misleading to use the mean as a descriptor of a data set when the median or mode would be more representative of the data set as a whole.