Up to 100 points
Part A
Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data can be in tabular form or in a scatter plot. Choose data that has a reasonable number of data points so you’re able to uncover trends. For the purposes of this activity, the data must not show a linear association. Describe the data you’ve identified in a sentence or two, and include a link to the data.

Part B

Create a scatter plot of your data from part A using the tool’s data feature. Then manually fit a variety of function types to the data, using the sliders for the given parent functions.

Be sure to adjust the upper and lower values of each slider before trying to fit a function to the plotted data. Narrowing the interval on the slider moves the function slowly and accurately. Widening the interval on the slider moves the function farther and more coarsely.

Part C

Identify the function from part B that best fits the scatter plot of your real-world data.

Part D

Why did you choose the function that you did in part C? Explain your answer.
Part E
Let’s say you had to make a prediction for the behavior of your data set that extends beyond the existing data points. Based on its end behavior, which type of function would best fit your scatter plot for long-term data projections? Do transformations play a role? Explain your reasoning.