Please answer everything. MAT 152 - Chapter 10 Project - Scatterplots and RegressionThe price of gasoline in the U.S. has varied greatly in recent years. In this activity, you willexplore relationships and trends in gasoline prices since 2000.Use the following set of data to complete the activity:Price ($)$4.00$3.50Scatterplot and Regression1. Make a scatter plot of the data:$3.00$2.50$2.00$1.50$1.00$0.50$0.000Years since 2000●1012234567891031112Average Price ($) of Regular Unleaded Gasoline at thebeginning of the yearSGas Price perGallon6$1.30$1.47$1.14$1.47$1.59$1.82$2.32$2.27$3.05$1.79$2.737$3.09$3.40Years since 20009●10111213 2. What observations can you make about gas prices over the 12 year span? How wouldyou describe the trend?Strong positive linear3. Make a guess! Based on the trend of this data, when do you think gas prices will reach$6.00?20224. Using your calculator, find a linear regression equation for this data. Use LinReg(ax +b). Enter your data into L1 and L2 (Stat, Edit), then use Stat, Calc, #4.Y=0.17247x+1.075935. Now, using your regression equation, estimate when gas prices will reach $6.00.20286. How good was your guess? Write a statement about your guess compared to the actualvalueyou found with your equation from #5.I guessed 2022 and it was 2028. My guess was 6 years off.7. What are the r and r² values for this set of data? How good of a linear model do youthink this is for this set of data, based on these values?Quadratic Regression8. Where you find linear regression on the calculator, if you scroll down a little further, youwill find QuadReg (Quadratic Regression). This will find a quadratic, or curved, line thatmay sometimes fit the data better. Find the quadratic regression line on the same set ofdata. It will be in the form y = ax2+bx+c. Round a, b, and c to 3 or 4 decimal places.9. Now, using the quadratic model, predict what the price of gas will be in the year 2020.10. What are the r and r² values for the quadratic model? Do you think the linear or thequadratic model is a better fit, and why? (Hint: The calculator will not give you rdirectly, you must take the square root of r² to find it.)

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From the question, it appears that TI calculators have to be used to perform the operations.Steps to…