Check your model by performing an exponential regression on this data set 19. a. How do the values of a and b in the exponential regression compare with of your model? b. How well does the exponential regression fit the data? Switch the XList and YList in the settings for your scatter plot to view the inverse data. 20. Use algebra to find the inverse of the model you created by finding a and b. Record it here. Check your function by graphing it in Y1. 21. How well does the log function model the data? Graph the original data and the inverse data together. 22. What do you notice about the two sets of data? 23. Imagine if you drew a vertical line through each point in Plot1 and a horizontal line through each point in Plot2. a. Where do you think these lines would cross? b. What line you draw between the two data sets so that one data set was the reflection of the other over that line? Test your answer to Question 23b by graphing the equation of the line in Y1. 24. How was the difference between the two experiments (removing vs. adding coins) represented in their exponential and logarithmic models? Foundations of Math III Name_______________________________ 1. Given the function , graph and on the same axes. Fill in the table for and Domain
Check your model by performing an exponential regression on this data set 19. a. How do the values of a and b in the exponential regression compare with of your model? b. How well does the exponential regression fit the data? Switch the XList and YList in the settings for your scatter plot to view the inverse data. 20. Use algebra to find the inverse of the model you created by finding a and b. Record it here. Check your function by graphing it in Y1. 21. How well does the log function model the data? Graph the original data and the inverse data together. 22. What do you notice about the two sets of data? 23. Imagine if you drew a vertical line through each point in Plot1 and a horizontal line through each point in Plot2. a. Where do you think these lines would cross? b. What line you draw between the two data sets so that one data set was the reflection of the other over that line? Test your answer to Question 23b by graphing the equation of the line in Y1. 24. How was the difference between the two experiments (removing vs. adding coins) represented in their exponential and logarithmic models? Foundations of Math III Name_______________________________ 1. Given the function , graph and on the same axes. Fill in the table for and Domain