QUESTION #2 (40 PTS) Because of the coronavirus pandemic, many retirees and investors are concerned about their retirement savings or investments. For this question, let us look at the trend of the S&P 500, a stock market index that tracks the stocks of 500 large-cap U.S. companies. It represents the stock market's performance by reporting the risks and returns of the biggest companies. Below is a historical data of the average closing price of the S&:P 500 'om the year 2001 to the year 2019. Let x be the number of years from the year 2000 and y is the average closing price. Average S&P 500 Closing Price 2001 $1,192.57 2003 $ 965.23 2005 $1,207.23 2007 $1,477.18 2015 $2,061.03Ir 2019 $2,913.36 2020 $3,217.86 a. Do a linear regression and provide the linear equation that best ts the data. Then, predict the average closing price for the year 2020 based on this mathematical model. Paste your scatter diagram and provide your answers below: b. Do an exponential regression and provide the exponential equation that best ts the data. Then, predict the average closing price for the year 2020 based on this mathematical model. Paste your scatter diagram and provide your answers below: c. Do a logarithmic regression and provide the natural logarithmic (LN) equation that best ts the data. Then, predict the average closing price for the year 2020 based on this mathematical model. Paste your scatter diagram and provide your answers below: d. Check the average price for the year 2021 on this website (scroll down to see the data): hgps:www.macrotrendsneb'2324IsESOO-historical-chart-data. Of the three estimates that you calculated, which do you think is the best mathematical model to estimate the average closing price for the year 2021 '? Explain your answer below