Ap Statistics Worksheets With Answers Page 4
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23(c) The paper appeared in 1995, 45 years after 1950. How many children were killed in 1995,
according to the paper?_
If x = number of years after 1950, then y = the number of children killed x
=
=
× 10
13
x
45
years after 1950 = 2
. At x = 45,
y
2
3.52
,
or
35, 200,000, 000, 000 (35
trillion
!)
(d) Let L3 = log (# children) = log (L2). Look at scatterplot of year vs log (# of children) (L1 vs L3)
This should appear linear.
= −
+
ˆ
(e) Find LSRL of scatterplot above.
log
y
587.0085 .30103
x
r =
1
Make sure to look at residual plot.
(f) Perform the inverse transformation to express y ˆ as an exponential equation.
=
∧
ˆ 10
eqt:
y
y
Sketch a scatterplot of the original data with the exponential curve model
1
superimposed. Is your exponential function a satisfactory model for the data?
YES!
4
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