In this quiz, use the following touchdown data for TomBrady:
| Year | Passing yards, y | Touchdowns, t |
| 2000 | 6 | 0 |
| 2001 | 2843 | 18 |
| 2002 | 3764 | 28 |
| 2003 | 3620 | 23 |
| 2004 | 3692 | 28 |
| 2005 | 4110 | 26 |
| 2006 | 3529 | 24 |
| 2007 | 4806 | 50 |
| 2008 | 76 | 0 |
| 2009 | 4398 | 28 |
| 2010 | 3900 | 36 |
| 2011 | 5235 | 39 |
| 2012 | 4827 | 34 |
| 2013 | 4343 | 25 |
| 2014 | 4109 | 33 |
| 2015 | 4770 | 36 |
| 2016 | 3554 | 28 |
| 2017 | 4577 | 32 |
| 2018 | 2748 | 17 |
2 (a) Find the correlation coefficient, accurate to foursignificant figures, between the number of touchdowns, t, and thenumber of passing yards, y.
(b) Find the equation of the regression line, y = n*t + k,giving the line of best fit for the number of passing yards, y, asa function of the number of touchdowns, t. What is the slope, n, ofthis line, accurate to two decimal places?
(c) Find the equation of the regression line, y = n*t + k,giving the line of best fit for the number of passing yards, y, asa function of the number of touchdowns, t. What is the value of kfor this line, accurate to two decimal places?
(d) Use the regression line you found in 2 (b) and 2(c) to find the number of touchdowns expected if Brady passes for4000 yards.Use the values stored in your calculator or spreadsheet,without rounding them, and give an answer with four significantfigures.
(e) Use the regression line you found in 2 (b) and 2 (c) to findthe number of passing yards expected if Brady throws 45touchdowns.Use the values stored in your calculator or spreadsheet,without rounding them, and give an answer with two decimalplaces.
