The Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below
Year
interest rate (%)
Median home price
1988
10.30
$183,800
1989
$183,200
1990
10.10
$174,900
1991
9.30
$173,500
1992
8.40
$172,900
1993
7.30
$173,200
1994
1995
7.90
$169,700
1996
7.60
$174,500
1997
$177,900
1998
6.90
$188,100
1999
7.40
$203,200
2000
8.10
$230,200
2001
7.00
$258,200
2002
6.50
$309,800
2003
5.80
$329,800
2004
$431,000
2005
$515,000
2006
6.40
$537,000
2007
6.30
$496,000
2008
6.00
$352,000
2009
5.00
$232,000
2010
4.70
$291,700
2011
4.40
$262,900
2012
3.60
$299,200
2013
4.00
$321,200
2014
4.10
$373,500
2015
3.80
$358,100
2016
$382,500
2017
$402,900
At the 5% significance level, determine if the model is useful. In responding, construct and test any appropriate hypothesis.
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