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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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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