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 cont plot. Initial Egg Mass (per 0.04 ha) Change in Egg Mass Density (%) 250 -100 -25 -25 -50 50 0 |50 75 100 160 175 180 200 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) = 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.)

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 cont plot. Initial Egg Mass (per 0.04 ha) Change in Egg Mass Density (%) 250 -100 -25 -25 -50 50 0 |50 75 100 160 175 180 200 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) = 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.)

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Description: 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)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.)

- $y(x) = \underline{\hspace{20mm}}$

- $r^2 = \underline{\hspace{20mm}}$

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 $\underline{\hspace{20mm}}\%$.

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