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Algebra 25 Online
OpenStudy (anonymous):

CAN ANYONE HELP ME WITH SCATTER PLOTS AND LINE OF BEST FIT ? HELP PLEASE !

OpenStudy (anonymous):

Erm, well I'm not sure what the question is, so I'll just do a general explanation. Scatter plots are quite literally named. It's a plot where the results are scattered across the graph. For example, if you were polling students on the color of their backpack and their grades. There's really no relationship between those two factors (at least not in this case) so you may get people with red backpacks not get just As, but Bs and Cs and Ds. Likewise with any other color. When there's no clear relationship between points, it creates this scatter plot. On the reverse side, you don't see people with As buy red backpacks, they might get yellow ones, blue, or green. The best fit line tries to find a possible average. Let's say in general you find that those with blue, green, and purple backpacks tend to get lower grades than those with red, orange, or yellow backpacks. Of course, like I explained earlier, this doesn't have to be the case. So while most people with ROY backpacks get As and Bs, you may still have a few people with ROY backpacks get Cs and Ds. Likewise with BGP backpacks, most have poor grades, few have good ones. The best fit line doesn't account for those outliers, it reflects the average line being created by the majority of the dots. Of course, not all scatter plots have best fit lines. If there is truly no relationship between backpacks and grades, then no best fit line should exist. NOTE: Scatter plots, unless explicitly stated, DO NOT show causation. The chart in the example used should not inspire people to go out and get ROY backpacks to boost their grades. It merely shows correlation, in that there is a shared trend between two factors, if any.

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