AP Statistics 2017

(Marvins-Underground-K-12) #1

(quadratic). Population tends to grow exponentially, at least for a while. Even though you could find an
LSRL for nonlinear data, it makes no sense to do so. The AP Statistics course deals only with two-
variable data that can be modeled by a line OR nonlinear two-variable data that can be transformed in
such a way that the transformed data can be modeled by a line.


example: The    number  of  a   certain type    of  bacteria    present (in thousands)  after   a   certain number  of
hours is given in the following chart:

What    would   be  the predicted   quantity    of  bacteria    after   3.75    hours?
solution: A scatterplot of the data and a residual plot [for = a + b (Hour )] shows that a
line is not a good model for this data:

Now,    take    ln  (Number )   to  produce the following   data:
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