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 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 the best-fitting logarithmic function using least squares. State the square of the correlation coefficient. (Note that the authors used logarithms to the base 10.) (Use 4 decimal places in your answers.) y(x) = r2 = B. Use this model to estimate the change in egg mass density with an initial egg mass of 120 per 0.04 ha. (Use 4 decimal places in your answer.) With an initial egg mass of 120 per 0.04ha, the change in mass density is %
Smitley and Davis studied the changes in gypsy moth egg mass density over one generation as a
| 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 the best-fitting logarithmic function using least squares. State the square of the
y(x) =
r2 =
B. Use this model to estimate the change in egg mass density with an initial egg mass of 120 per 0.04 ha. (Use 4 decimal places in your answer.)
With an initial egg mass of 120 per 0.04ha, the change in mass density is
%
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