Because of the coronavirus pandemic and rising inflation rate, 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 of500 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 from the year 2001 to the year 2021.

Letx be the number of years from the year 2000 andy is the average closing price.

YEAR	Average Closing Price
2001	$1,192.57
2003	$965.23
2004	$1,130.65
2005	$1,207.23
2006	$1,310.46
2008	$1,220.04
2009	$948.05
2010	$1,139.97
2011	$1,267.64
2013	$1,643.80
2014	$1,931.38
2015	$2,061.07
2016	$2,094.65
2018	$2,746.21
2019	$2,913.36
2020	$3,217.86
2021	$4,273.41

b. Do an exponential regression and provide the exponential equation that best fits the data. Then, predict the average closing price for the year 2023 based on this mathematical model.READ THE DEFINITION OFx, DO NOT JUST COPY THE YEARS

Paste your scatter diagram and provide your answers below:

c. Do a logarithmic regression and provide the natural logarithmic (LN) equation that best fits the data. Then, predict the average closing price for the year 2023 based on this mathematical model.READ THE DEFINITION OFx, DO NOT JUST COPY THE YEARS

Paste your scatter diagram and provide your answers below:

reference: https://www.macrotrends.net/2324/sp-500-historical-chart-data