Evaluate Non-Linear Models Part 3
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Lesson Summary:
In this lesson, the focus is on evaluating the logistic function by finding the values of its three parameters. The instructor uses Solver to solve for the parameters and then shows how to make a prediction about monthly sales based on the logistic model. The lesson emphasizes the importance of understanding the various versions of the problem and being able to solve for the parameters before attempting to evaluate the function symbolically or numerically. The lesson concludes with a preview of the next part, which will cover composition in these functions.
Lesson Description:
Be able to evaluate (i.e. find an output given an input) and of the three model functions both numerically and symbolically.
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Additional Resources:
- Notes - Notes from this lesson
- Problem Set With Solutions 1 - A problem set with student solutions
- Problem Set Solutions 2 - Solutions to the problem set from this lesson
- Linear Demand and Revenue Notes - Notes about linear demand and revenue
- Inverse and Logarithm Notes - Notes on inverses and logarithms
- Solving Literal Non-Linear Equations Notes - Notes on solving literal non-linear equations
- Solving Literal Non-Linear Equations Problem Set With Solutions - A problem set with solutions for solving literal non-linear equations
Questions answered by this video:
- How do you evaluate a non-linear model?
- If you are given an input for a non-linear model, how do you find the output?
- If you have 2 parameters for a logistic equation, how do you find the third parameter?
- How can you use the Equation Solver on a TI graphing calculator to solve for a parameter in a logistic model?
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Staff Review
This lesson shows the logistic model, and explains how to enter and evaluate a logistic function on a TI graphing calculator, which is used to help model and evaluate the function. All steps are shown and explained in this calculator / function tutorial.
