Question

In this quiz, 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

2 (a) Find the correlation coefficient, accurate to four significant figures, between the number of touchdowns, t, and the number 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, as a function of the number of touchdowns, t. What is the slope, n, of this 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, as a function of the number of touchdowns, t. What is the value of k for 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 for 4000 yards.Use the values stored in your calculator or spreadsheet, without rounding them, and give an answer with four significant figures.

(e) Use the regression line you found in 2 (b) and 2 (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.

Answer 1

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