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.)

Name: Smitley and Davis studied the changes in gypsy moth egg mass density
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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 controlplot.50 75Change in Egg Mass Density (%

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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