Answer :
Final answer:
The scatter diagram of two interval variables can reveal patterns like a correlation (either positive or negative) or no apparent relationship.
Explanation:
In general, the scatter diagram of two interval variables may reveal a variety of patterns. These patterns can include a correlation, where as one variable increases, the other does too or the contrary where one decreases as the other increases. It can also reveal no relationship, where there's no apparent pattern - the points just represent scatter widely in the diagram.
For example, if we consider something like the period-luminosity relation for variable stars, the scatter plot wouldn't reveal a straight line as the points representing many stars scatter widely. Hence, the distances derived from them also have some built-in scatter or uncertainty.
In visualizing data using scatter plots, one can assess if the X and Y variables would be good candidates for linear regression. If the scatter visually follows an upward or downward trend, then linear regression can be applied. It is also important to know that there might be a slight difference or variation when comparing scatter plots, even if they present similar patterns or class intervals. This difference is due to the data represented in each scatter plot.
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