Unformatted text preview: 3846 Exponential Transformation
Exponential Now look at the new
Now
scatterplot of (x, log y)
scatterplot
This scatterplot looks
This
more centered about a
line as opposed to a
curve.
curve. 3.5
3
2.5
Barrels in Millions 2 Series1 1.5
1
0.5
0
0 20 40
years since 1880 60 80 Check that’s it linear
Check How do we check
How
that the data is
linear?
linear? Now that it is linear,
Now
we do a leastwe
squares regression
squares
line on the
transformed (x, log y)
transformed Exponential Transformation
Exponential log y = 1.54+.0305x 2.5
Popula tion in Thous ands The rsquared value
The
looks good (0.987)
looks
The regression line
The
(LSRL) is given as:
(LSRL)
y = 1.54+.0305x
This is not quite right
This
as it should be:
as 2
1.5
1
0.5
0
0.5 0 20 40 60 80 60 80 1...
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 Winter '13
 Jessell
 Exponential Function, Exponentiation, Natural logarithm, Logarithm, exponential transformation

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