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# Example of direction in scatterplots

AP.STATS:
DAT‑1 (EU)
,
DAT‑1.A (LO)
,
DAT‑1.A.2 (EK)
,
DAT‑1.A.3 (EK)
,
DAT‑1.A.4 (EK)
CCSS.Math:

## Video transcript

the graphs below show the test grades of the student of the students in Dexter's class the first graph shows the relationship between test grades and the amount of time the students spent studying so this is study time on this axis and this is the test grade on this axis and the second graph shows a relationship between test grades and shoe size so shoe size on this axis and then test grade choose the best description of the relationship between the graphs so first let's just before even looking at these let's just look at these let's just look at that before looking at the at the explanations let's let's look at the actual graphs so this one on the Left right over here it looks like there is a positive a positive linear relationship right over here I could almost fit a line that would go just like that and it makes sense that there would be that the more time that you spend studying that a better score that you would get now there for a certain amount of time studying some people might do better than others but it does seem like there is this relationship here it doesn't seem like there's really much of a relationship you see you see the shoe sizes for a given shoe size some people do not so well and some people do very well for some some people someone with the size 10 and a half it looks like is that it size 10 and a half someone they look like they flunk the exam someone else looks like they got a a minus or a b-plus on the exam and it really would be hard to somehow fit a line here no matter no matter how you draw a line it doesn't seem like it would really fit some type of a these dots don't seem to form a trend so let's see which of these choices apply there's a negative linear relationship between study time and score now that's not true it looks like there's a positive a positive linear relationship the more you study the better your score would be a negative linear relationship would trend downwards like that there is a nonlinear relationship between study time and score and a negative linear relationship between shoe size and score well that doesn't seem right either a nonlinear relationship you would it would not be easy to fit a line to it and this one seems like a line would be very reasonable and there isn't any type of it doesn't seem like there's any type of relationship between shoe size and score so I wouldn't pick this one either there is a positive linear relationship between studies time and score that's right and no relationship between shoe size and score well I'm going to go with that one both graphs show positive linear trends of approximately equal strength no not at all this one doesn't show a linear relationship of really any strength