1 (a) Find the correlation coefficient, accurate to four significant figures, between the passing yards, y and...
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Question:
- 1 (a) Find the correlation coefficient, accurate to four significant figures, between the passing yards, y and the number of touchdowns, t.
- 1 (b) Find the equation of the regression line, t = m*y + b, giving the line of best fit for the number of touchdowns, t, as a function of the number of passing yards, y. What is the slope, m, of this line, accurate to four decimal places?
- 1 (c) Find the equation of the regression line, t = m*y + b, giving the line of best fit for the number of touchdowns, t, as a function of the number of passing yards, y. What is the value of b for this line, accurate to four significant figures?
- 1 (d) Use the regression line you found in 1 (b) and 1 (c) to find the number of touchdowns expected if Brady passes for 4000 yards. Use the values stored in your calculator or spreadsheet, without rounding them, and give an answer with four significant figures.
- 1 (e) Use the regression line you found in 1 (b) and 1 (c) to find the number of passing yards expected if Brady throws 45 touchdowns. Use the values stored in your calculator or spreadsheet, without rounding them, and give an answer with two decimal places.
use the following touchdown data for Tom Brady:
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 |
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