Ecologists believe that organic material decays over time according to an exponential decay model. This is the
Question:
a. Construct a scatter-plot. Why is a straight-line model inappropriate?
b. Show that the ordinary regression model gives the fit, = 54.98 - 3.59x. Find the predicted weight after x = 20 weeks. Does this prediction make sense? Explain.
c. Plot the log of y against x. Does a straight-line model now seem appropriate?
d. The exponential regression model has prediction equation = 80.6(0.813)x. Find the predicted weight
(i) initially and
(ii) after 20 weeks.
e. Interpret the coefficient 0.813 in the prediction equation.
Transcribed Image Text:
0 75.0 1 60.9 2 518 3 45.2 4 34.7 5 34.6 6 26.2 7 20.4 8 14.0 9 12.3 11 8.2 15 3.1 20 1.4
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a A straightline model is inappropriate because the scatterplot ...View the full answer
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Related Book For
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin
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