計(jì)量經(jīng)濟(jì)學(xué)第三版課后習(xí)題答案
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1、 第二章 簡(jiǎn)單線性回歸模型 2.1 (1) ①首先分析人均壽命與人均GDP的數(shù)量關(guān)系,用Eviews分析: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 14:37 Sample: 1 22 Included observations: 22 Variable Coefficient Std. Error t-Statistic Prob.
2、 C 56.64794 1.960820 28.88992 0.0000 X1 0.128360 0.027242 4.711834 0.0001 R-squared 0.526082 Mean dependent var 62.50000 Adjusted R-squared 0.502386 S.D. dependent var 10.08889 S.E. of regression 7.11
3、6881 Akaike info criterion 6.849324 Sum squared resid 1013.000 Schwarz criterion 6.948510 Log likelihood -73.34257 Hannan-Quinn criter. 6.872689 F-statistic 22.20138 Durbin-Watson stat 0.629
4、074 Prob(F-statistic) 0.000134 有上可知,關(guān)系式為y=56.64794+0.128360x1 ②關(guān)于人均壽命與成人識(shí)字率的關(guān)系,用Eviews分析如下: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 15:01 Sample: 1 22 Included observations: 22 Variable Coeffi
5、cient Std. Error t-Statistic Prob. C 38.79424 3.532079 10.98340 0.0000 X2 0.331971 0.046656 7.115308 0.0000 R-squared 0.716825 Mean dependent var 62.50000 Adjusted R-squared 0.702666
6、60;S.D. dependent var 10.08889 S.E. of regression 5.501306 Akaike info criterion 6.334356 Sum squared resid 605.2873 Schwarz criterion 6.433542 Log likelihood -67.67792 Hannan-Quinn criter. 6.357721 F-statistic 50
7、.62761 Durbin-Watson stat 1.846406 Prob(F-statistic) 0.000001 由上可知,關(guān)系式為y=38.79424+0.331971x2 ③關(guān)于人均壽命與一歲兒童疫苗接種率的關(guān)系,用Eviews分析如下: Dependent Variable: Y Method: Least Squares Date: 12/23/14 Time: 15:20 Sample: 1 22 Incl
8、uded observations: 22 Variable Coefficient Std. Error t-Statistic Prob. C 31.79956 6.536434 4.864971 0.0001 X3 0.387276 0.080260 4.825285 0.0001 R-squared 0.537929 Mean dependent var
9、 62.50000 Adjusted R-squared 0.514825 S.D. dependent var 10.08889 S.E. of regression 7.027364 Akaike info criterion 6.824009 Sum squared resid 987.6770 Schwarz criterion 6.923194 Log likelihood -73.06409
10、160; Hannan-Quinn criter. 6.847374 F-statistic 23.28338 Durbin-Watson stat 0.952555 Prob(F-statistic) 0.000103 由上可知,關(guān)系式為y=31.79956+0.387276x3 (2)①關(guān)于人均壽命與人均GDP模型,由上可知,可決系數(shù)為0.526082,說明所建模型整體上對(duì)樣本數(shù)據(jù)擬合較好。 對(duì)于回歸系數(shù)的t檢驗(yàn):t(β1)=4.711834
11、>t0.025(20)=2.086,對(duì)斜率系數(shù)的顯著性檢驗(yàn)表明,人均GDP對(duì)人均壽命有顯著影響。 ②關(guān)于人均壽命與成人識(shí)字率模型,由上可知,可決系數(shù)為0.716825,說明所建模型整體上對(duì)樣本數(shù)據(jù)擬合較好。 對(duì)于回歸系數(shù)的t檢驗(yàn):t(β2)=7.115308>t0.025(20)=2.086,對(duì)斜率系數(shù)的顯著性檢驗(yàn)表明,成人識(shí)字率對(duì)人均壽命有顯著影響。 ③關(guān)于人均壽命與一歲兒童疫苗的模型,由上可知,可決系數(shù)為0.537929,說明所建模型整體上對(duì)樣本數(shù)據(jù)擬合較好。 對(duì)于回歸系數(shù)的t檢驗(yàn):t(β3)=4.825285>t0.025(20)=2.086,對(duì)斜率
12、系數(shù)的顯著性檢驗(yàn)表明,一歲兒童疫苗接種率對(duì)人均壽命有顯著影響。 2.2 (1) ①對(duì)于浙江省預(yù)算收入與全省生產(chǎn)總值的模型,用Eviews分析結(jié)果如下: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 17:46 Sample (adjusted): 1 33 Included observations: 33 after adjustments Variable Coeffi
13、cient Std. Error t-Statistic Prob. X 0.176124 0.004072 43.25639 0.0000 C -154.3063 39.08196 -3.948274 0.0004 R-squared 0.983702 Mean dependent var 902.5148 Adjusted R-squared 0.983177
14、160;S.D. dependent var 1351.009 S.E. of regression 175.2325 Akaike info criterion 13.22880 Sum squared resid 951899.7 Schwarz criterion 13.31949 Log likelihood -216.2751 Hannan-Quinn criter. 13.25931 F-statistic 1
15、871.115 Durbin-Watson stat 0.100021 Prob(F-statistic) 0.000000 ②由上可知,模型的參數(shù):斜率系數(shù)0.176124,截距為—154.3063 ③關(guān)于浙江省財(cái)政預(yù)算收入與全省生產(chǎn)總值的模型,檢驗(yàn)?zāi)P偷娘@著性: 1)可決系數(shù)為0.983702,說明所建模型整體上對(duì)樣本數(shù)據(jù)擬合較好。 2)對(duì)于回歸系數(shù)的t檢驗(yàn):t(β2)=43.25639>t0.025(31)=2.0395,對(duì)斜率系數(shù)的顯著性檢驗(yàn)表明,全省生產(chǎn)總
16、值對(duì)財(cái)政預(yù)算總收入有顯著影響。 ④用規(guī)范形式寫出檢驗(yàn)結(jié)果如下: Y=0.176124X—154.3063 (0.004072) (39.08196) t= (43.25639) (-3.948274) R2=0.983702 F=1871.115 n=33 ⑤經(jīng)濟(jì)意義是:全省生產(chǎn)總值每增加1億元,財(cái)政預(yù)算總收入增加0.176124億元。 (2)當(dāng)x=32000時(shí), ①進(jìn)行點(diǎn)預(yù)測(cè),由上可知Y=0.176124X—154.3063,代入可得: Y= Y=0.176124*32000—154.3063=5481.661
17、7 ②進(jìn)行區(qū)間預(yù)測(cè): 先由Eviews分析: X Y Mean 6000.441 902.5148 Median 2689.280 209.3900 Maximum 27722.31 4895.410 Minimum 123.7200 25.87000 Std. Dev. 7608.021 1351.009 Skewness 1.432519
18、 1.663108 Kurtosis 4.010515 4.590432 Jarque-Bera 12.69068 18.69063 Probability 0.001755 0.000087 Sum 198014.5 29782.99 Sum Sq. Dev. 1.85E+09 58407195 Observations
19、 33 33 由上表可知, ∑x2=∑(Xi—X)2=δ2x(n—1)= 7608.0212 x (33—1)=1852223.473 (Xf—X)2=(32000— 6000.441)2=675977068.2 當(dāng)Xf=32000時(shí),將相關(guān)數(shù)據(jù)代入計(jì)算得到: 5481.6617—2.0395x175.2325x√1/33+1852223.473/675977068.2≤ Yf≤5481.6617+2.0395x175.2325x√1/33+1852223.473/675977068.2 即Yf的置信區(qū)間為(5481.6617—64.
20、9649, 5481.6617+64.9649) (3) 對(duì)于浙江省預(yù)算收入對(duì)數(shù)與全省生產(chǎn)總值對(duì)數(shù)的模型,由Eviews分析結(jié)果如下: Dependent Variable: LNY Method: Least Squares Date: 12/23/15 Time: 18:04 Sample (adjusted): 1 33 Included observations: 33 after adjustments Variable Coefficient Std. Error t-Stati
21、stic Prob. LNX 0.980275 0.034296 28.58268 0.0000 C -1.918289 0.268213 -7.152121 0.0000 R-squared 0.963442 Mean dependent var 5.573120 Adjusted R-squared 0.962263 S.D. dependent var
22、1.684189 S.E. of regression 0.327172 Akaike info criterion 0.662028 Sum squared resid 3.318281 Schwarz criterion 0.752726 Log likelihood -8.923468 Hannan-Quinn criter. 0.692545 F-statistic 816.9699
23、60; Durbin-Watson stat 0.096208 Prob(F-statistic) 0.000000 ①模型方程為:lnY=0.980275lnX-1.918289 ②由上可知,模型的參數(shù):斜率系數(shù)為0.980275,截距為-1.918289 ③關(guān)于浙江省財(cái)政預(yù)算收入與全省生產(chǎn)總值的模型,檢驗(yàn)其顯著性: 1)可決系數(shù)為0.963442,說明所建模型整體上對(duì)樣本數(shù)據(jù)擬合較好。 2)對(duì)于回歸系數(shù)的t檢驗(yàn):t(β2)=28.58268>t0.025(31)=2.0395,對(duì)斜率系數(shù)的顯著性檢驗(yàn)
24、表明,全省生產(chǎn)總值對(duì)財(cái)政預(yù)算總收入有顯著影響。 ④經(jīng)濟(jì)意義:全省生產(chǎn)總值每增長(zhǎng)1%,財(cái)政預(yù)算總收入增長(zhǎng)0.980275% 2.4 (1)對(duì)建筑面積與建造單位成本模型,用Eviews分析結(jié)果如下: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 20:11 Sample: 1 12 Included observations: 12 Variable Coefficient
25、 Std. Error t-Statistic Prob. X -64.18400 4.809828 -13.34434 0.0000 C 1845.475 19.26446 95.79688 0.0000 R-squared 0.946829 Mean dependent var 1619.333 Adjusted R-squared 0.941512 S
26、.D. dependent var 131.2252 S.E. of regression 31.73600 Akaike info criterion 9.903792 Sum squared resid 10071.74 Schwarz criterion 9.984610 Log likelihood -57.42275 Hannan-Quinn criter. 9.873871 F-statistic 178.07
27、15 Durbin-Watson stat 1.172407 Prob(F-statistic) 0.000000 由上可得:建筑面積與建造成本的回歸方程為: Y=1845.475--64.18400X (2)經(jīng)濟(jì)意義:建筑面積每增加1萬平方米,建筑單位成本每平方米減少64.18400元。 (3) ①首先進(jìn)行點(diǎn)預(yù)測(cè),由Y=1845.475--64.18400X得,當(dāng)x=4.5,y=1556.647 ②再進(jìn)行區(qū)間估計(jì): 用Eviews分析: Y X
28、160;Mean 1619.333 3.523333 Median 1630.000 3.715000 Maximum 1860.000 6.230000 Minimum 1419.000 0.600000 Std. Dev. 131.2252 1.989419 Skewness 0.003403 -0.060130 Kurtosis 2.34
29、6511 1.664917 Jarque-Bera 0.213547 0.898454 Probability 0.898729 0.638121 Sum 19432.00 42.28000 Sum Sq. Dev. 189420.7 43.53567 Observations 12 12 由上表可知, ∑x2=∑(Xi—X)2=δ2
30、x(n—1)= 1.9894192 x (12—1)=43.5357 (Xf—X)2=(4.5— 3.523333)2=0.95387843 當(dāng)Xf=4.5時(shí),將相關(guān)數(shù)據(jù)代入計(jì)算得到: 1556.647—2.228x31.73600x√1/12+43.5357/0.95387843≤ Yf≤1556.647+2.228x31.73600x√1/12+43.5357/0.95387843 即Yf的置信區(qū)間為(1556.647—478.1231, 1556.647+478.1231)
31、 3.1 (1) ①對(duì)百戶擁有家用汽車量計(jì)量經(jīng)濟(jì)模型,用Eviews分析結(jié)果如下: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 20:59 Sample: 1 31 Included observations: 31 Variable Coefficient Std. Error t-Statistic Prob.
32、 X2 5.996865 1.406058 4.265020 0.0002 X3 -0.524027 0.179280 -2.922950 0.0069 X4 -2.265680 0.518837 -4.366842 0.0002 C 246.8540 51.97500 4.749476 0.0001 R-squared 0.666062 Mean dependent var 16.77355 Adjusted R-squ
33、ared 0.628957 S.D. dependent var 8.252535 S.E. of regression 5.026889 Akaike info criterion 6.187394 Sum squared resid 682.2795 Schwarz criterion 6.372424 Log likelihood -91.90460 Hannan-Qui
34、nn criter. 6.247709 F-statistic 17.95108 Durbin-Watson stat 1.147253 Prob(F-statistic) 0.000001 ②得到模型得: Y=246.8540+5.996865X2- 0.524027 X3-2.265680 X4 ③對(duì)模型進(jìn)行檢驗(yàn): 1) 可決系數(shù)是0.666062,修正的可決系數(shù)為0.628957,說明模型對(duì)樣本擬合較好 2) F檢驗(yàn),F(xiàn)=17.95108>F(3,27
35、)=3.65,回歸方程顯著。 3)t檢驗(yàn),t統(tǒng)計(jì)量分別為4.749476,4.265020,-2.922950,-4.366842,均大于 t(27)=2.0518,所以這些系數(shù)都是顯著的。 ④依據(jù): 1) 可決系數(shù)越大,說明擬合程度越好 2) F的值與臨界值比較,若大于臨界值,則否定原假設(shè),回歸方程是顯著的;若小于臨界值,則接受原假設(shè),回歸方程不顯著。 3) t的值與臨界值比較,若大于臨界值,則否定原假設(shè),系數(shù)都是顯著的;若小于臨界值,則接受原假設(shè),系數(shù)不顯著。 (2)經(jīng)濟(jì)意義:人均GDP增加1萬元,百戶擁有家用汽車增加5.996865輛,城鎮(zhèn)人口比重增加1個(gè)百分點(diǎn),百戶擁
36、有家用汽車減少0.524027輛,交通工具消費(fèi)價(jià)格指數(shù)每上升1,百戶擁有家用汽車減少2.265680輛。 (3)用EViews分析得: Dependent Variable: Y Method: Least Squares Date: 12/23/15 Time: 21:09 Sample: 1 31 Included observations: 31 Variable Coefficient Std. Error t-Statistic Prob.
37、 X2 5.135670 1.010270 5.083465 0.0000 LNX3 -22.81005 6.771820 -3.368378 0.0023 LNX4 -230.8481 49.46791 -4.666624 0.0001 C 1148.758 228.2917 5.031974 0.0000 R-squared 0.691952 Mean dependent var 16.77355 Adjusted R
38、-squared 0.657725 S.D. dependent var 8.252535 S.E. of regression 4.828088 Akaike info criterion 6.106692 Sum squared resid 629.3818 Schwarz criterion 6.291723 Log likelihood -90.65373 Hannan
39、-Quinn criter. 6.167008 F-statistic 20.21624 Durbin-Watson stat 1.150090 Prob(F-statistic) 0.000000 模型方程為: Y=5.135670 X2-22.81005 LNX3-230.8481 LNX4+1148.758 此分析得出的可決系數(shù)為0.691952>0.666062,擬合程度得到了提高,可這樣改進(jìn)。
40、 3.2 (1)對(duì)出口貨物總額計(jì)量經(jīng)濟(jì)模型,用Eviews分析結(jié)果如下:: Dependent Variable: Y Method: Least Squares Date: 12/24/15 Time: 08:23 Sample: 1994 2011 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob. X2
41、0.135474 0.012799 10.58454 0.0000 X3 18.85348 9.776181 1.928512 0.0729 C -18231.58 8638.216 -2.110573 0.0520 R-squared 0.985838 Mean dependent var 6619.191 Adjusted R-squared 0.983950 S.D. dependent var 5767.152
42、 S.E. of regression 730.6306 Akaike info criterion 16.17670 Sum squared resid 8007316. Schwarz criterion 16.32510 Log likelihood -142.5903 Hannan-Quinn criter. 16.19717 F-statistic 522.0976
43、;Durbin-Watson stat 1.173432 Prob(F-statistic) 0.000000 ①由上可知,模型為: Y = 0.135474X2 + 18.85348X3 - 18231.58 ②對(duì)模型進(jìn)行檢驗(yàn): 1)可決系數(shù)是0.985838,修正的可決系數(shù)為0.983950,說明模型對(duì)樣本擬合較好 2)F檢驗(yàn),F(xiàn)=522.0976>F(2,15)=4.77,回歸方程顯著 3)t檢驗(yàn),t統(tǒng)計(jì)量分別為X2的系數(shù)對(duì)應(yīng)t值為10.58454,大于t(15)=2.131,系數(shù)是顯著的,X3的系數(shù)對(duì)應(yīng)t
44、值為1.928512,小于t(15)=2.131,說明此系數(shù)是不顯著的。 (2)對(duì)于對(duì)數(shù)模型,用Eviews分析結(jié)果如下: Dependent Variable: LNY Method: Least Squares Date: 12/24/15 Time: 08:47 Sample: 1994 2011 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob.
45、 LNX2 1.564221 0.088988 17.57789 0.0000 LNX3 1.760695 0.682115 2.581229 0.0209 C -20.52048 5.432487 -3.777363 0.0018 R-squared 0.986295 Mean dependent var 8.400112 Adjusted R-squared 0.984467 S.
46、D. dependent var 0.941530 S.E. of regression 0.117343 Akaike info criterion -1.296424 Sum squared resid 0.206540 Schwarz criterion -1.148029 Log likelihood 14.66782 Hannan-Quinn criter. -1.275962 F-statistic 539.7
47、364 Durbin-Watson stat 0.686656 Prob(F-statistic) 0.000000 ①由上可知,模型為: LNY=-20.52048+1.564221 LNX2+1.760695 LNX3 ②對(duì)模型進(jìn)行檢驗(yàn): 1)可決系數(shù)是0.986295,修正的可決系數(shù)為0.984467,說明模型對(duì)樣本擬合較好。 2)F檢驗(yàn),F(xiàn)=539.7364> F(2,15)=4.77,回歸方程顯著。 3)t檢驗(yàn),t統(tǒng)計(jì)量分別為-3.777363,17.57
48、789,2.581229,均大于t(15)=2.131,所以這些系數(shù)都是顯著的。 (3) ①(1)式中的經(jīng)濟(jì)意義:工業(yè)增加1億元,出口貨物總額增加0.135474億元,人民幣匯率增加1,出口貨物總額增加18.85348億元。 ②(2)式中的經(jīng)濟(jì)意義:工業(yè)增加額每增加1%,出口貨物總額增加1.564221%,人民幣匯率每增加1%,出口貨物總額增加1.760695% 3.3 (1)對(duì)家庭書刊消費(fèi)對(duì)家庭月平均收入和戶主受教育年數(shù)計(jì)量模型,由Eviews分析結(jié)果如下: Dependent Variable: Y
49、 Method: Least Squares Date: 12/24/15 Time: 09:03 Sample: 1 18 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob. X 0.086450 0.029363 2.944186 0.0101 T 52.37031 5.202167 10.06702 0
50、.0000 C -50.01638 49.46026 -1.011244 0.3279 R-squared 0.951235 Mean dependent var 755.1222 Adjusted R-squared 0.944732 S.D. dependent var 258.7206 S.E. of regression 60.82273 Akaike info crite
51、rion 11.20482 Sum squared resid 55491.07 Schwarz criterion 11.35321 Log likelihood -97.84334 Hannan-Quinn criter. 11.22528 F-statistic 146.2974 Durbin-Watson stat 2.605783 Prob(F-statistic) 0.000000
52、 ①模型為:Y = 0.086450X + 52.37031T-50.01638 ②對(duì)模型進(jìn)行檢驗(yàn): 1)可決系數(shù)是0.951235,修正的可決系數(shù)為0.944732,說明模型對(duì)樣本擬合較好。 2)F檢驗(yàn),F(xiàn)=539.7364> F(2,15)=4.77,回歸方程顯著。 3)t檢驗(yàn),t統(tǒng)計(jì)量分別為2.944186,10.06702,均大于t(15)=2.131,所以這些系數(shù)都是顯著的。 ③經(jīng)濟(jì)意義:家庭月平均收入增加1元,家庭書刊年消費(fèi)支出增加0.086450元,戶主受教育年數(shù)增加1年,家庭書刊年消費(fèi)支出增加52.37031元。 (2)用E
53、views分析: ① Dependent Variable: Y Method: Least Squares Date: 12/24/15 Time: 09:18 Sample: 1 18 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob. T 63.01676 4.548581 13.85416 0.0000
54、C -11.58171 58.02290 -0.199606 0.8443 R-squared 0.923054 Mean dependent var 755.1222 Adjusted R-squared 0.918245 S.D. dependent var 258.7206 S.E. of regression 73.97565 Akaike info criterion 1
55、1.54979 Sum squared resid 87558.36 Schwarz criterion 11.64872 Log likelihood -101.9481 Hannan-Quinn criter. 11.56343 F-statistic 191.9377 Durbin-Watson stat 2.134043 Prob(F-statistic) 0.000000
56、 ② Dependent Variable: X Method: Least Squares Date: 12/24/15 Time: 09:34 Sample: 1 18 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob. T 123.1516 31.84150 3.867644 0.0014 C 4
57、44.5888 406.1786 1.094565 0.2899 R-squared 0.483182 Mean dependent var 1942.933 Adjusted R-squared 0.450881 S.D. dependent var 698.8325 S.E. of regression 517.8529 Akaike info criterion 15.4417
58、0 Sum squared resid 4290746. Schwarz criterion 15.54063 Log likelihood -136.9753 Hannan-Quinn criter. 15.45534 F-statistic 14.95867 Durbin-Watson stat 1.052251 Prob(F-statistic) 0.001364
59、以上分別是y與T,X與T的一元回歸 模型分別是: Y = 63.01676T - 11.58171 X = 123.1516T + 444.5888 (3)對(duì)殘差進(jìn)行模型分析,用Eviews分析結(jié)果如下: Dependent Variable: E1 Method: Least Squares Date: 12/24/15 Time: 09:39 Sample: 1 18 Included observations: 18 Variable Coefficient Std. Er
60、ror t-Statistic Prob. E2 0.086450 0.028431 3.040742 0.0078 C 3.96E-14 13.88083 2.85E-15 1.0000 R-squared 0.366239 Mean dependent var 2.30E-14 Adjusted R-squared 0.326629 S.D. depend
61、ent var 71.76693 S.E. of regression 58.89136 Akaike info criterion 11.09370 Sum squared resid 55491.07 Schwarz criterion 11.19264 Log likelihood -97.84334 Hannan-Quinn criter. 11.10735 F-statistic 9.246111
62、 Durbin-Watson stat 2.605783 Prob(F-statistic) 0.007788 模型為: E1 = 0.086450E2 + 3.96e-14 參數(shù):斜率系數(shù)α為0.086450,截距為3.96e-14 (3)由上可知,β2與α2的系數(shù)是一樣的?;貧w系數(shù)與被解釋變量的殘差系數(shù)是一樣的,它們的變化規(guī)律是一致的。 3.6 (1)預(yù)期的
63、符號(hào)是X1,X2,X3,X4,X5的符號(hào)為正,X6的符號(hào)為負(fù) (2)根據(jù)Eviews分析得到數(shù)據(jù)如下: Dependent Variable: Y Method: Least Squares Date: 12/24/15 Time: 10:13 Sample: 1994 2011 Included observations: 18 Variable Coefficient Std. Error t-Statistic Prob.
64、 X2 0.001382 0.001102 1.254330 0.2336 X3 0.001942 0.003960 0.490501 0.6326 X4 -3.579090 3.559949 -1.005377 0.3346 X5 0.004791 0.005034 0.951671 0.3600 X6 0.045542 0.095552 0.476621 0.6422 C -13.77732 15.73366 -0.875659 0.3984 R-squared 0.994869 &
65、#160; Mean dependent var 12.76667 Adjusted R-squared 0.992731 S.D. dependent var 9.746631 S.E. of regression 0.830963 Akaike info criterion 2.728738 Sum squared resid 8.285993 Schwarz criterion 3.02
66、5529 Log likelihood -18.55865 Hannan-Quinn criter. 2.769662 F-statistic 465.3617 Durbin-Watson stat 1.553294 Prob(F-statistic) 0.000000 ①與預(yù)期不相符。 ②評(píng)價(jià): 1) 可決系數(shù)為0.994869,數(shù)據(jù)相當(dāng)大,可以認(rèn)為擬合程度很好。 2) F檢驗(yàn),F(xiàn)=465.3617>F(5.
67、12)=3,89,回歸方程顯著 3) T檢驗(yàn),X1,X2,X3,X4,X5,X6 系數(shù)對(duì)應(yīng)的t值分別為:1.254330,0.490501,-1.005377,0.951671,0.476621,均小于t(12)=2.179,所以所得系數(shù)都是不顯著的。 (3)根據(jù)Eviews分析得到數(shù)據(jù)如下: Dependent Variable: Y Method: Least Squares Date: 12/24/15 Time: 10:20 Sample: 1994 2011 Included observations: 18
68、 Variable Coefficient Std. Error t-Statistic Prob. X5 0.001032 2.20E-05 46.79946 0.0000 X6 -0.054965 0.031184 -1.762581 0.0983 C 4.205481 3.335602 1.260786 0.2266 R-squared 0.993601 Mean d
69、ependent var 12.76667 Adjusted R-squared 0.992748 S.D. dependent var 9.746631 S.E. of regression 0.830018 Akaike info criterion 2.616274 Sum squared resid 10.33396 Schwarz criterion 2.764669 Log likelihood -20.546
70、46 Hannan-Quinn criter. 2.636736 F-statistic 1164.567 Durbin-Watson stat 1.341880 Prob(F-statistic) 0.000000 ①得到模型的方程為: Y=0.001032 X5-0.054965 X6+4.205481 ②評(píng)價(jià): 1) 可決系數(shù)為0.993601,數(shù)據(jù)相當(dāng)大,可以認(rèn)為擬合程度很好。 2) F檢驗(yàn),F(xiàn)=1164.56
71、7>F(5.12)=3,89,回歸方程顯著 3) T檢驗(yàn),X5 系數(shù)對(duì)應(yīng)的t值為46.79946,大于t(12)=2.179,所以系數(shù)是顯著的,即人均GDP對(duì)年底存款余額有顯著影響。 X6 系數(shù)對(duì)應(yīng)的t值為-1.762581,小于t(12)=2.179,所以系數(shù)是不顯著的。 4.3 (1)根據(jù)Eviews分析得到數(shù)據(jù)如下: Dependent Variable: LNY Method: Least Squares Date: 12/24/15 Time: 10:39
72、Sample: 1985 2011 Included observations: 27 Variable Coefficient Std. Error t-Statistic Prob. LNGDP 1.338533 0.088610 15.10582 0.0000 LNCPI -0.421791 0.233295 -1.807975 0.0832 C -3.111486 0.463010 -6.720126 0.0000
73、 R-squared 0.988051 Mean dependent var 9.484710 Adjusted R-squared 0.987055 S.D. dependent var 1.425517 S.E. of regression 0.162189 Akaike info criterion -0.695670 Sum squared resid 0.631326
74、160; Schwarz criterion -0.551689 Log likelihood 12.39155 Hannan-Quinn criter. -0.652857 F-statistic 992.2582 Durbin-Watson stat 0.522613 Prob(F-statistic) 0.000000 得到的模型方程為: LNY=1.338533 LNGDPt-0.421791
75、 LNCPIt-3.111486 (2) ① 該模型的可決系數(shù)為0.988051,可決系數(shù)很高,F(xiàn)檢驗(yàn)值為992.2582, 明顯顯著。但當(dāng)α=0.05時(shí),t(24)=2.064,LNCPI的系數(shù)不顯著,可能存在多重共線性。 ②得到相關(guān)系數(shù)矩陣如下: LNY LNGDP LNCPI LNY 1.000000 0.993189 0.935116 LNGDP 0.993189 1.000000 0.953740 LNCPI 0.935116 0.953740 1.000000 LNGDP, LNCPI之間的相關(guān)系數(shù)很高,證實(shí)確實(shí)存在多重共線性。 (3)由Eviews得: a) Dependent Variable: LNY Method: Least Squares Date: 12/24/15 Time
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