The project is designed as a chance for you to display your understanding of the material covered in unit 2.
Desmos: This project can be done entirely in desmos.
Task 1: Stock Data
1. Pick a stock you like: (apple, amazon, anything on the stock market.) Check yahoo finance, or search for stock tickers.
a. httPs://www.nasdaq.com/articles/10-clever-stock-tickers-2015-10-12
b. https://finance.yahoo.com/
2. Either record the opening value of the stock every day for two weeks or gather historical data.
3. Create a table containing the date and the opening value of the stock. Use x=0 for the first day you start recording. Your table should contain 10 days’ worth of data. (The market is only open Monday through Friday). Use the table to create a scatterplot (in desmos or excel.)
4. Use technology to find a linear model. Include a screenshot or desmos link.
5. Use technology to find an exponential model for the data. Include a screenshot or desmos link.
6. Determine which model is the best fit(linear or exponential) for your data. Explain your choice using the graph and the correlation coefficient.
7. Identify the two parameters (m,b for linear or a, b for exponential) of your chosen model and interpret them in conte..
8. Use the model to predict the value of your stock for a future date from the data you recorded(this prediction does not need to be for an actual future date). Show your work either graphically, written explanation, or algebraically.
9. Record the actual value of the stock on the day of your prediction. How well did your model predict the actual value of the stock, Why might the prediction have been good or why was it bad.
Federal Outlays Data
1. Use the randomly generated year assigned to you for your starting year. Pick every third year from the starting Year and generate a data set of 10 values using the federal outlays spreadsheet. Choose the budget line of most interest to you.
2. Generate a scatterplot of your data. Use desmos, google sheets, excel, or some other program to draw the scatterplot. Include a screenshot of your data.
3. Determine a model of best fit(linear or exponential) for your data. Explain your choice using the concepts from unit 2.
4. Identify the two parameters of your model and interpret them in context.
5. Use your model to preclict the total amount spent on your budget line for 2019. Show your work.
6. Calculate the difference between your predicted value and the actual value from the excel document.
7. Calculate the relative difference between your predicted value and the actual value from the excel document.
Task 3: Interesting Data Set
1. Generate a set of data you think is interesting. You can find the data set online or you can make one yourself. Your data from project 1 might work. Note the only requirement is that the data has some sort of context and is not just a list of numbers.
2. Describe the data set including how you chose the and values.
3. Create a model of best fit (linear or exponential) to generate predictions
4. How accurately will your model predict the y values? Would there be any value in predicting x values from y values based on your x and y values,
Task 4: Analysis
1. What are the strengths and weaknesses of linear models?
2. What are the strengths and weaknesses of exponential models?
3. Why do scientists use models in their work?
4. What other model types exist and how might they be useful?
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