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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Expand Your Knowledge: Logarithmic Transformations, Exponential Growth Model Let x= day of observation and y= number of locusts per square meter during a locust infestation in a region of North Africa.
|
x |
2 |
3 |
5 |
8 |
10 |
|
y |
2 |
3 |
12 |
125 |
630 |
(a) Draw a scatter diagram of the (x, y) data pairs. Do you think a straight line will be a good fit to these data? Do the y values almost seem to explode as time goes on?
(b) Now consider a transformation y’ = log y. We are using common logarithmsof base 10. Draw a scatter diagram of the (x, y’) data pairs and compare this diagram with the diagram of part (a). Which graph appears to better fit a straight line?
(c) Use a calculator with regression keys to find the linear regression equation for the data pairs (x, y’). What is the correlation coefficient?
(d) The exponential growth model is y = abx. Estimate α and β and write theexponential growth equation.
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