Exponential regression math 30 pure

AI Thread Summary
The discussion revolves around finding the inverse of the exponential regression equation y = (8.7166)(0.93240)^x. The user derived the inverse as x = (8.7166)(0.93240)^y and attempted to express it using logarithms. There is confusion about whether to substitute x with -5 to solve for y or to isolate x in the original form. Additionally, the user seeks clarification on how to determine which model, exponential regression or geometric sequence, better fits a given scenario. The thread highlights the need for understanding both the mathematical manipulation of equations and the conceptual application of models.
cathoderay
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Homework Statement


Determine the inverse of the exponential regression equation that you foun in the first bullet.


Homework Equations



y=ab^x

The Attempt at a Solution



  • in the first bullet i got the equation

y= (8.7166)(0.93240)^x

  • then i found using logs that x = -5

so the exponential regresion inverse

would be

x= (8.7166)(0.93240)^y
  • this wil become
log(0.9324)^(x / 8.7166)=y

  • so would that be the answerd ..or would i have to replace the x for the -5 and then solve for y
  • and isolate x to leave the formula as x=ab^y were i have all the values for a b and y ...??

thank in advance for your help and time reading my Thread .
 
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hello one more thing ..
the next bullet ask me the following...

  • state whether the exponential regression model or the geometric sequence model better describes the given scenario.(explain your reasoning)

what are thay asking me to do..could anyone refrace that i don't understant even wht it means...thanks..
 
this athachement are part of the 1st post... it shows other parts of the same question mentioned...
thanks..
 

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