Question

1. Calculate a linear regression for the paired data in problem 4.  Record the linear function that results and the correlation coefficient.

Men’s 2015 World Championship – Final Results (top 17 finishers)

Rank	Name	Nationality	Time (seconds)
1	Mo Farah	Great Britain (GBR)	1621.13
2	Geoffrey Kipsang	Kenya (KEN)	1621.76
3	Paul Tanui	Kenya (KEN)	1622.83
4	Bedan Karoki	Kenya (KEN)	1624.77
5	Galen Rupp	United States (USA)	1628.91
6	Abrar Osman	Eritrea (ERI)	1663.21
7	Ali Kaya	Turkey (TUR)	1663.69
8	Timothy Toroitich	Uganda (UGA)	1664.90
9	Joshua Kiprui Cheptegei	Uganda (UGA)	1668.89
10	Muktar Edris	Ethiopia (ETH)	1674.47
11	Mosinet Geremew	Ethiopia (ETH)	1687.50
12	El Hassan El-Abbassi	Bahrain (BHR)	1692.57
13	Nguse Tesfaldet	Eritrea (ERI)	1694.72
14	Cameron Levins	Canada (CAN)	1695.19
15	Hassan Mead	United States (USA)	1696.30
16	Shadrack Kipchirchir	United States (USA)	1696.30
17	Arne Gabius	Germany (GER)	1704.47

Women’s 2015 World Championship – Final Results (top 17 finishers)

Rank	Name	Nationality	Time (seconds)
1	Vivian Cheruiyot	Kenya (KEN)	1901.31
2	Gelete Burka	Ethiopia (ETH)	1901.77
3	Emily Infeld	United States (USA)	1903.49
4	Molly Huddle	United States (USA)	1903.58
5	Sally Kipyego	Kenya (KEN)	1904.42
6	Shalane Flanagan	United States (USA)	1906.23
7	Alemitu Heroye	Ethiopia (ETH)	1909.73
8	Betsy Saina	Kenya (KEN)	1911.35
9	Belaynesh Oljira	Ethiopia (ETH)	1913.01
10	Susan Kuijken	Netherlands (NED)	1914.32
11	Jip Vastenburg	Netherlands (NED)	1923.03
12	Sara Moreira	Portugal (POR)	1926.14
13	Kasumi Nishihara	Japan (JPN)	1932.95
14	Brenda Flores	Mexico (MEX)	1935.26
15	Kate Avery	Great Britain (GBR)	1936.19
16	Trihas Gebre	Spain (ESP)	1940.87
17	Juliet Chekwel	Uganda (UGA)	1940.95

Answer 1