次表で与えられた売上高（単位：億円）と利益（単位：億円）の回帰関係と決 定係数を求める。売上高を 、利益を としたとき、 ∑ = 1,921、∑ = 419、∑ ^2= 569,279、∑ ^2 = 29,935、∑ = 129,897
となる。
年 度 2006 2007 2008 2009 2010 2011 2012 2013 2014
売上高 54 68 88 145 195 240 302 379 450
利 益 10 11 16 29 32 50 73 90 108
(1) このデータの正規方程式を示しなさい。
(2) 正規方程式を解いた結果の回帰式は = −6.80 + 0.25 となります。これを用いて決定係数は ^2 = 0.97 であることを示しなさい。

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