計(jì)量地理學(xué)第三章統(tǒng)計(jì)分析方法2回歸分析(參考版)
2025-01-10 08:18本頁面
【正文】 引入矩陣 ???????????????????????????????????? ????? ????? ????? ???? ????? ????? ????? ???nanaakanakkanakaakaanakananaaanakkaanaaaanaananaaanakkaanaaanaananaanakkanaaayxbxbxxbxxbxyxbxxbxbxxbxyxbxxbxxbxbxybxbxbxnb1 11221211011 121221221210121 111121211210111 11212110)(. . . .)()()()()()()()()()()()()()(???????? （ ) ?????????????????knnnkkxxxxxxxxxxxxX????????2132313222121k211111.11??????????????????????????????????????knnnkkkknkkknnTxxxxxxxxxxxxxxxxxxxxxxxxXXA????????????????213231322212121113212232221113121111111111???????????????????????????????????????????????????????nakanakaanakaanakanakaanaanaaanaanakaanaaananaanakanaanaaxxxxxxxxxxxxxxxxxxxxxn12121111212212112111211211111211??????????????????????nyyyY?21?????????????????nbbbbb?210 則正規(guī)方程組 （ ） 式可以進(jìn)一步寫成矩陣形式 BAb ????????????????????????????????????????????????????????????????????naakanaaanaaanaanknkkknnTyyyxyxyyyyyxxxxxxxxxxxxYXB112111321321223222111312111111??????????求解得 引入記號(hào) YXXXBAb TT 11 )( ?? ????????najjiiajiij xxxxLL1))(( ??????naaiiaiy yyxxL1))((（ ） ),2,1,( kji ??),2,1( ki ??正規(guī)方程組也可以寫成 ??????????????????????????kkkykkkkkykkykkxbxbxbybLbLbLbLLbLbLbLLbLbLbL????????2211022112222212111212111)( ??例如， 某一國(guó)家某一經(jīng)濟(jì)區(qū)內(nèi)木材生產(chǎn)指數(shù) y（以 1955年為 100）受該區(qū)森林蓄積量指數(shù) x木材價(jià)格指數(shù) x2和運(yùn)輸距離指數(shù) x3的影響，如表 510所示，試建立三元線性回歸模型，并檢驗(yàn)其有無實(shí)際意義 原始數(shù)據(jù)表 編號(hào) 1 2 3 4 5 6 7 年份 1952 1953 1954 1955 1956 1957 1958 x1 x2 x3 Y 設(shè)所求的線性回歸模型為 3322110 xbxbxbby ????其正規(guī)方
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