Now graph the actual x- and y-coordinates from Table 1 using one color and graph the predicted or modeled x- and y-coordinates from Table 2 onto the same graph using a different color. Your x coordinates are the horizontal axis and your y coordinates are the vertical axis. Be sure to label which color is which dataset. You may either copy and paste your graph here or upload it along with this worksheet.
1. How does your model compare to the actual path? Be specific and write at least 2 sentences supporting your conclusion (1 pt)
2. Why did you choose the graph family that you did? Did you choose well? Why or why not? (1 pt)
3. Is it possible to write this in rectangular form, eliminating the parameter t. In other words express y in terms of x (eliminate the parameter t and have one function, y =f(x)) Why or why not? (1 pt)
1. The modeled path closely follows the actual path in Table 1. Both datasets show a linear relationship between x and y, with the modeled path slightly deviating from the actual path at some points.
2. I chose to graph the data points using a line graph because both datasets represent a linear relationship between x and y. The choice was appropriate as it allowed for easy comparison between the actual and modeled paths.
3. It is possible to eliminate the parameter t and express y in terms of x by solving for t in terms of x and substituting it back into the equation. This would give us a function y = f(x) that only depends on x.