Problem 3 - Gasoline Consumption - Setup PREPARATION a) Find the last two digits of your student id number, call it DD. b) Calculate ((DD)mod 50) + 1. You can use an online calculator: https : //www.calculators . org/math/modulo.php You can learn more about the modulo operator at the website. Modulo is an important operator in number theory, computer science, and home loans. c) Go to the Excel le with our data at: https : //tinyur1 . com/LuiGasoline2021 You may copy or download the le to your own computer. d) Include in your report/ writeup, o The last two digits of your student ID 0 (DD)mod50 +1 0 Your state INFORMATION 0 I took the data of gasoline consumption for each of the 50 states in the US. The original data starts in 1983 and gives the average gasoline consumption in thousand of gallons per day. I took that value and multiplied it by 365 days to give a rough value for the consumption in million of gallons per year. a Data was taken from the U.S. Energy Information Administration website: https ://www . cia. gov/dnav/pet/pet_cons_prim_a_EPMO_P00_Mgalpd_a . him 0 For more information, you can view more tracking data at covid19 . ca . gov/state-dashboard/ Go to the next page for the analysis. Problem 3 - Gasoline Consumption - continued a) Starting with the year 2010, copy and paste your state's data into the Desmos graph with regression lines. Which regression line models the data the best? Feel free to create an alternative model. https ://www . desmos . com/calculator/unngwvmcw 10 b) Let f (t) be the model you chose or created for the data. What does f (t) dt represent? 0 Explain in your own words with complete sentences. 10 c) Evaluate f (t) dt. Interpret the value you get in a complete sentence with proper units. 0 Imagine you are writing an explanation to someone. d) Using the data points, find the value of the left and right Riemann sums. Show your work clearly so I can see which values you used. You can use a calculator to nd the value. Interpret your answers in a sentence using the correct units