Questions: Figure 1 shows a typical composition of neurons in a net. This discussion questions aimed at learning how natural composition of neural nets can be mimicked to derive algorithms that can provide prediction at higher levels of complexity. Consider a multiple regression model of your choice containing two predictors. Calculate the values of the regression equation with a range chosen by you for the values of the predictors. Provide the graph of the regression equation which is a plane. Augment your regression model by a sigmoid posterior filter. Calculate the values of the regression equation within the range chosen in part 1. Provide the graph of the regression equation, which will be a sigmoidal surface. Show that this graph cannot have a local extremum. Now, add another regression model with sigmoid posterior containing the same two predictors in the previous part. Repeat parts 1 and 2 for this new regression model.  Now consider a model of a neural net, which has two parallel hidden layers, which are the two regression models considered above. The output of the net is simply the superposition of the two regression models. Show that by proper choice of the parameters you can have an output, which has a local extremum within the choice for the range of the values of the predictor. Provide the graph of the regression equation.  How does this observation indicate an application of neural networks modeling in practice?     Figure 1 Typical Composition of Neurons in a Net Bowerman, B., Drougas, A. M., Duckworth, A. G., Hummel, R. M. Moniger, K. B., & Schur, P. J. (2019). Business statistics and analytics in practice (9th ed.). McGraw-Hill ISBN 9781260187496

As a manager, you have the following data collected by your data analyst regarding the price and quantity demanded: Price of One Shirt (P) Demand (D) 2300 152 2000 159 1700 164 1500 171 1300 176 1200 180 1000 189 Note that you are asked to use a graphing utility in this assignment. A recommended online utility is https://www.desmos.com/calculator (Links to an external site.). It allows graphing and then copying and posting into a Word document. Using a graphing utility, draw a scatter diagram with price as a function of demand. Using a graphing utility, build a logarithmic model from the data. Graph the logarithmic function in the scatter diagram. Use the function you found above to predict the number of quantities that will be demanded if the price is $1750. Use the function you found in #2 to predict the price, if the quantity demanded is 174. Requirements: Your paper should be 2-3 pages (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource. Include a title page, introduction, body, conclusion, and a reference page. The introduction should describe or summarize the topic or problem. It might discuss the general applications of the topic or it might introduce the unique terminology associated with the topic. The body of your paper should address the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment. The conclusion should summarize your thoughts about what you have determined from your analysis in completing the assignment. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.

You use the template to help figure out the 4 questions on the word document. Let me know if you have any questions. Thanks!!!! :)It is due tonight. :(