regresie tema

5
SUMMARY OUTPUT Regression Statistics Multiple 0.746109 R Square 0.556679 Adjusted 0.541392 Standard 4.952821 Observati 31 ANOVA df SS MS F Significance F Regressio 1 893.2844 893.2844 36.41535 1.45E-06 Residual 29 711.3826 24.53043 Total 30 1604.667 Coefficients tandard Erro t Stat P-value Lower 95% Upper 95%Lower 95.0% Upper 95.0% Intercept4.096308 3.835405 1.068025 0.29432 -3.74798 11.94059 -3.74798 11.94059 X Variabl0.346364 0.057397 6.034513 1.45E-06 0.228974 0.463755 0.228974 0.463755 RESIDUAL OUTPUT t-Test: Two-Sample Assuming Equal V ObservationPredicted Y Residuals ndard Residuals Variable 1 Variable 2 1 29.03455 -1.63455 -0.33567 Mean 65 26.61 2 30.42001 2.179991 0.447676 Variance 248.2 53.4889 3 18.98998 4.610019 0.946699 Observati 31 31 4 20.7218 -2.2218 -0.45626 Pooled Va150.8445 5 25.91727 10.48273 2.152699 Hypothesi 0 6 21.7609 -2.6609 -0.54643 df 60 7 35.96184 -6.16184 -1.26538 t Stat 12.30607 8 27.99546 4.604542 0.945574 P(T<=t) o2.34E-18 9 34.92275 -0.22275 -0.04574 t Critica1.670649 10 27.99546 1.704542 0.350039 P(T<=t) t4.67E-18 11 31.4591 -8.2591 -1.69606 t Critica2.000298 12 18.98998 5.610019 1.152055 13 22.79999 -2.59999 -0.53393 14 29.72728 6.07272 1.247074 15 18.98998 -3.98998 -0.81937 16 23.14636 3.753645 0.770836 17 24.18545 7.214551 1.481557 18 32.4982 7.101804 1.458403 19 23.14636 -5.14636 -1.05684 20 32.84456 -3.14456 -0.64576 21 33.88365 2.216346 0.455142 22 25.22454 -1.42454 -0.29254 23 25.91727 -6.21727 -1.27676 24 18.98998 -4.78998 -0.98366 25 21.41453 -3.31453 -0.68066 26 24.18545 0.914551 0.187809 27 24.87818 6.821822 1.400907 28 34.23002 -1.43002 -0.29366 29 33.88365 0.516346 0.106035 30 19.68271 -6.08271 -1.24913 31 31.11274 -4.50274 -0.92467

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Page 1: Regresie Tema

SUMMARY OUTPUT

Regression StatisticsMultiple R 0.746109R Square 0.556679Adjusted R 0.541392Standard E 4.952821Observatio 31

ANOVAdf SS MS F Significance F

Regression 1 893.2844 893.2844 36.41535 1.45E-06Residual 29 711.3826 24.53043Total 30 1604.667

CoefficientsStandard Error t Stat P-value Lower 95%Upper 95%Lower 95.0%Upper 95.0%Intercept 4.096308 3.835405 1.068025 0.29432 -3.747976 11.94059 -3.747976 11.94059X Variable 0.346364 0.057397 6.034513 1.45E-06 0.228974 0.463755 0.228974 0.463755

RESIDUAL OUTPUT t-Test: Two-Sample Assuming Equal Variances

ObservationPredicted YResidualsStandard Residuals Variable 1 Variable 21 29.03455 -1.634551 -0.335666 Mean 65 26.612 30.42001 2.179991 0.447676 Variance 248.2 53.48893 18.98998 4.610019 0.946699 Observatio 31 314 20.7218 -2.221804 -0.456262 Pooled Var 150.84445 25.91727 10.48273 2.152699 Hypothesiz 06 21.7609 -2.660897 -0.546433 df 607 35.96184 -6.161841 -1.265376 t Stat 12.306078 27.99546 4.604542 0.945574 P(T<=t) one2.34E-189 34.92275 -0.222748 -0.045743 t Critical on 1.670649

10 27.99546 1.704542 0.350039 P(T<=t) two4.67E-1811 31.4591 -8.259103 -1.696063 t Critical tw 2.00029812 18.98998 5.610019 1.15205513 22.79999 -2.599991 -0.53392614 29.72728 6.07272 1.24707415 18.98998 -3.989981 -0.8193716 23.14636 3.753645 0.77083617 24.18545 7.214551 1.48155718 32.4982 7.101804 1.45840319 23.14636 -5.146355 -1.05683920 32.84456 -3.144561 -0.64575721 33.88365 2.216346 0.45514222 25.22454 -1.424542 -0.29253923 25.91727 -6.217271 -1.27675924 18.98998 -4.789981 -0.98365525 21.41453 -3.314533 -0.68066226 24.18545 0.914551 0.18780927 24.87818 6.821822 1.40090728 34.23002 -1.430019 -0.29366429 33.88365 0.516346 0.10603530 19.68271 -6.08271 -1.24912631 31.11274 -4.502738 -0.924668

Page 2: Regresie Tema

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Page 3: Regresie Tema

1. Definirea modelului de regresie; - forma, variabilele şi parametrii modelului de regresie -aproximarea grafică a modelului legăturii dintre variabile2. Estimarea punctuală a parametrilor modelului;3. Testarea semnificației corelației şi a parametrilor modelului de regresie;4. Estimarea parametrilor prin interval de încredere;Country Corruption Tertiary education (%)

Austria 72 27.4 xi*yi xi^2 yi^(estimat) ei (yreal-yesti ei^2(yreal-yes (yestimat- (yreal-ymediu(xi-xmediu)^2Belgium 76 32.6 2477.6 5776 4178 -4145 17184341 17166935 4.41 169Bulgaria 43 23.6 1014.8 1849 2396 -2372 5628282 5575738 123.21 2116Croatia 48 18.5 888 2304 2666 -2648 7009256 6923740 262.44 1681Cyprus 63 36.4 2293.2 3969 3476 -3440 11830848 11842546 2.89 676Czech Repu 51 19.1 974.1 2601 2828 -2809 7889919 7802525 243.36 1444Denmark 92 29.8 2741.6 8464 5042 -5012 25122149 25073053 24.01 9Estonia 69 32.6 2249.4 4761 3800 -3767 14193303 14177484 4.41 400Finland 89 34.7 3088.3 7921 4880 -4845 23476932 23476932 0 0France 69 29.7 2049.3 4761 3800 -3770 14215162 14177484 25 400Germany 79 23.2 1832.8 6241 4340 -4317 18634762 18535608 132.25 100Greece 43 24.6 1057.8 1849 2396 -2371 5623538 5575738 102.01 2116Hungary 54 20.2 1090.8 2916 2990 -2970 8819712 8733798 210.25 1225Ireland 74 35.8 2649.2 5476 4070 -4034 16274770 16283646 1.21 225Italy 43 15.0 645 1849 2396 -2381 5669161 5575738 388.09 2116Latvia 55 26.9 1479.5 3025 3044 -3017 9102892 9055886 60.84 1156Lithuania 58 31.4 1821.2 3364 3206 -3175 10078085 10057144 10.89 961Luxembour 82 39.6 3247.2 6724 4502 -4462 19913014 19956769 24.01 49Malta 55 18.0 990 3025 3044 -3026 9156676 9055886 278.89 1156Netherland 83 29.7 2465.1 6889 4556 -4526 20487392 20442154 25 36Norway 86 36.1 3104.6 7396 4718 -4682 21920188 21933299 1.96 9Poland 61 23.8 1451.8 3721 3368 -3344 11183674 11110889 118.81 784Portugal 63 19.7 1241.1 3969 3476 -3456 11946010 11842546 225 676Romania 43 14.2 610.6 1849 2396 -2382 5672971 5575738 420.25 2116Slovakia 50 18.1 905 2500 2774 -2756 7594985 7503764 275.56 1521Slovenia 58 25.1 1455.8 3364 3206 -3181 10118125 10057144 92.16 961Spain 60 31.7 1902 3600 3314 -3282 10773493 10753808 9 841Sweden 87 32.8 2853.6 7569 4772 -4739 22460017 22442011 3.61 4Switzerlan 86 34.4 2958.4 7396 4718 -4684 21936109 21933299 0.09 9Turkey 45 13.6 612 2025 2504 -2490 6202092 6097442 445.21 1936United Kin 78 26.6 2075.58 6084 4286 -4259 18142403 18073552 65.4481 121Total 2015 824.9 54,225.4 133,237.0 107,142.0 -106,344.5 3,580.3 25,013.0

Page 4: Regresie Tema

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