8. (20 points) gression, develop a projection for the amount of the prize for the win- ner for the year 2021 based on the information you have provided through this part of the problem. Identify the independent and depend- ent variables you are using considering the problem statement. The Farr-Kroger Classic is a women's professional golf tournament played each year in Ohio. Listed below are the total purse winnings (the amount of money that is distributed to the top golfers) and the prize for the winner for the 15 years from 2006 through 2020. The op- erators of this golf tournament believe that there is a relationship be- tween the purse winnings and the prize. There is also a belief that both of these are increasing over time. b) Using linear regression, develop a projection for the amount of the prize for the winner for the year 2021 based only on the relationship between the prize and the purse winnings. From the $1,000,000 Purse Winnings in 2020 the Classic tournament committee has and will con- tinue to increase the purse winnings $25,000 per year for the next five years. Identify the independent and dependent variables you are using considering the problem statement. Year 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 Purse Winnings $225,000 $275,000 $325.000 $325,000 $350,000 $400,000 $450,000 $500,000 $500,000 $575,000 $700,000 S800.000 $800,000 $1,000,000 $1,000,000 Prize $33,750 $41,250 $41,250 $48,750 $52,500 $60,000 $67,500 $75,000 $75,000 $86,250 $105,000 $120,000 $120.000 $150,000 $150,000 c) Would you use either of the methods from a) or b) to project the prize for the winner for 2021? Explain your answer, including the key factors that we studied that should be considered in making this deci- sion. In answering these questions, you must use the correct independent and dependent variables. a) Suppose that the prize is a function only of time. Using linear re- na 140