Step 2: Table & Scatterplot

Data Table

Here is the data for the top highest-grossing movies along with their Rotten Tomatoes and Metacritic scores:

Movie	Rotten Tomatoes (%)	Metacritic (%)
Star Wars: Episode VII - The Force Awakens	93	80
Avengers: Endgame	94	78
Spider-Man: No Way Home	93	71
Avatar	82	83
Top Gun: Maverick	96	78
Black Panther	96	67
Avengers: Infinity War	85	68
Titanic	88	75
Jurassic World	71	59
Avatar: The Way of Water	76	67
The Avengers	91	69
Star Wars: Episode VIII - The Last Jedi	91	84
Incredibles 2	93	80
The Lion King (2019)	52	55
The Dark Knight	94	84
Rogue One: A Star Wars Story	84	65
Star Wars: Episode IX - The Rise of Skywalker	52	53
Beauty and the Beast (2017)	71	65
Finding Dory	94	77
Frozen II	77	64

Make sure you have accessed the project template and have viewed the Desmos video tutorials before starting this project.

1. Select a data set from the provided worksheet, and pull the specific data values as included with the data set. In your report, start with an introduction as to why you chose your data set and also introduce it. Detail the benefits/value of analyzing the data set. (Step 1: Introduction)
2. Plot the data on a graph using Desmos(Step 2: Table & Scatterplot)
   1. Clearly label and select an appropriate scale for the x- and y-axis. Explain how you determined your scale.
   2. Include screenshots of your table and graph in your report
3. Interpret what the data represents for x = 0, x = negative values, and x = positive values in terms of the situation. (Step 2: Table & Scatterplot)
4. Use the table and graph to answer the following questions in your report: (Step 2: Table & Scatterplot)
   • Describe the strength of a linear relationship that exists in your scatterplot.
   • What can you hypothesize about the variables in the data set?
   • Do you feel a linear model equation would be efficient in making predictions within and beyond the provided data?
5. Select two points and use them to calculate a linear model (Step 3: Linear Model Calculated by Hand)
   1. Graph the linear model on the same graph as your plotted data
   2. Identify the slope, x-intercept, and y-intercept of your calculated linear model. Interpret what each piece of information means in terms of the situation.
   3. Include screenshots in your report.
6. Calculate a line of best fit using all of the data points using Desmos(Step 4: Line of Best Fit - Desmos)
   1. Graph the line of best fit on the same graph as your plotted data and calculated linear model (use color-coding to differentiate between the two lines)
   2. Identify the slope, x-intercept, and y-intercept of the line of best fit. Interpret what each piece of information means in terms of the situation.
   3. Include screenshots in your report.
7. Use the line of best fit equation and select three data values not included in your data set and determine their corresponding outputs. State your results within your report. (Step 5: Test Values)
8. Compare and contrast your calculated linear model with the line of best fit. (Step 6: Conclusion)
   1. Which line appears to be a better fit for the data?
   2. Identify what, if any, characteristics both lines accurately communicate about the behavior of the data.
   3. How could you improve the "fit" of the line of best fit?
   4. Based on your work with these tasks, what cautions would you give someone when making decisions based on linear models?