Karr and Coats studied the effects of several chemicals on the growth of the German cockroach. the following table gives their data for the percent of the chemical ?-terpineol in the diet of 20% ?-terpineol. Percent ?-terpineol 1 10 25 Days to Adult Stage 129 113 115 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. (Use 4 decimal places in your answer.) y(x) = r2 = B. Use this model to estimate the days to adult stage with a diet of 20% ?-terpineol. (Round to the nearest day.) When a 20% ?-terpineol, then there are days to adult stage.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Karr and Coats studied the effects of several chemicals on the growth of the German cockroach. the following table gives their data for the percent of the chemical ?-terpineol in the diet of 20% ?-terpineol.

Percent ?-terpineol 1 10 25
Days to Adult Stage 129 113 115


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. (Use 4 decimal places in your answer.)
y(x) = 

 
 
 


r2 = 

 
 
 


B. Use this model to estimate the days to adult stage with a diet of 20% ?-terpineol. (Round to the nearest day.)
When a 20% ?-terpineol, then there are 

 
 
 

 days to adult stage.

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