First notice that the triangle with sides
and the triangle with sides
are similar. This is true because the angle between sides
in the smaller triangle is clearly
, while the angle between sides
in the larger triangle is clearly
. So the triangles are similar with sides
corresponding to
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is
, then the length of the longer leg is
and the hypotenuse has length
.
Since
is the shortest leg in the larger triangle, it follows that
, so
First I let's represent our data in the table and make a scatter plot ( i attached the image).
Points labeled
A are called data set.
Point labelled
B is called the outlier. The outlier is a point that does not fit well with the rest of our data set. Posible
reason for point B is that someone is super smart and they don't need to spend a lot of time studying to achieve good results.
PartBWe can see from the graph that the number of hours spent on social media and test scores are negatively correlated. See a scatter plot, I added the trend line.
In other words, the more hours you spend on social media the lower your test scores should be.