Smitley and Davis studied the changes in gypsy moth egg mass density over one generation as...

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Smitley and Davis studied the changes in gypsy moth egg massdensity over one generation as a function of the initial egg massdensity in a control plot and two treated plots. The data below arefor the control plot.

Initial Egg Mass (per 0.04 ha)5075100160175180200
Change in Egg Mass Density (%)250-100-25-25-50500


A. On the basis of the data given in the table, find thebest-fitting logarithmic function using least squares. State thesquare of the correlation coefficient. (Note that the authors usedlogarithms to the base 10.) (Use 4 decimal places in youranswers.)
y(x) =


r2 =


B. Use this model to estimate the change in egg mass density withan initial egg mass of 120 per 0.04 ha. (Use 4 decimal places inyour answer.)
With an initial egg mass of 120 per 0.04ha, the change in massdensity is

%

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3.9 Ratings (524 Votes)
Smitley and Davis studied the changes in gypsy moth egg mass density over one generation as a function of the initial egg mass density in a control plot and two treated plots The data below are for the control plot Initial Egg Mass per 004 ha 50 75 100 160 175    See Answer
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