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) | 50 | 75 | 100 | 160 | 175 | 180 | 200 |
| Change in Egg Mass Density (%) | 250 | -100 | -25 | -25 | -50 | 50 | 0 |
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
%
