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### ANALİZ BAŞLIYOR: DOSYA 1 (Level Versiyon) ###
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--- MODEL 1: İlk 10 Soru ile Tahmin (Interaction Yok) ---
Call:
lm(formula = Toplam_Puan ~ ., data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-33.617 -6.032 0.562 5.039 36.436
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 11.6921 1.7604 6.642 6.34e-10 ***
Q1 0.3444 2.4414 0.141 0.888023
Q2 3.4072 2.2995 1.482 0.140658
Q3 8.0118 2.6560 3.016 0.003038 **
Q4 4.9897 2.3029 2.167 0.031951 *
Q5 6.9466 2.4399 2.847 0.005076 **
Q6 12.4184 2.5138 4.940 2.19e-06 ***
Q7 8.5558 2.0726 4.128 6.26e-05 ***
Q8 3.2172 1.8331 1.755 0.081440 .
Q9 6.4121 1.7784 3.606 0.000432 ***
Q10 6.5686 2.0127 3.264 0.001383 **
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 10.24 on 140 degrees of freedom
Multiple R-squared: 0.7609, Adjusted R-squared: 0.7438
F-statistic: 44.56 on 10 and 140 DF, p-value: < 2.2e-16
--- STEPWISE MODEL: En İyi Değişkenleri Seçme (AIC Yöntemi) ---
Gereksiz sorular modelden atılıyor...
--- STEPWISE MODEL SONUCU ---
Call:
lm(formula = Toplam_Puan ~ Q2 + Q3 + Q4 + Q5 + Q6 + Q7 + Q8 +
Q9 + Q10, data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-33.581 -6.096 0.514 5.161 36.453
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 11.701 1.753 6.675 5.25e-10 ***
Q2 3.384 2.286 1.481 0.140936
Q3 8.137 2.495 3.262 0.001389 **
Q4 5.135 2.052 2.503 0.013460 *
Q5 6.966 2.428 2.869 0.004745 **
Q6 12.436 2.502 4.971 1.90e-06 ***
Q7 8.521 2.050 4.156 5.60e-05 ***
Q8 3.208 1.826 1.757 0.081042 .
Q9 6.439 1.762 3.654 0.000363 ***
Q10 6.619 1.974 3.353 0.001026 **
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 10.2 on 141 degrees of freedom
Multiple R-squared: 0.7609, Adjusted R-squared: 0.7456
F-statistic: 49.85 on 9 and 141 DF, p-value: < 2.2e-16
--- AIC KARŞILAŞTIRMASI (Düşük Olan İyidir) ---
Model 1 (Tümü) Model Step (Seçilmiş)
1143.568 1141.590
AIC Farkları:
Model 1 (Tümü) Model Step (Seçilmiş)
1.978539 0.000000
SONUÇ: En düşük AIC değerine sahip model istatistiksel olarak en iyi modeldir.
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### ANALİZ BAŞLIYOR: DOSYA 2 (Yeni Öğrenciler) ###
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--- MODEL 1: İlk 10 Soru ile Tahmin (Interaction Yok) ---
Call:
lm(formula = Toplam_Puan ~ ., data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-30.9724 -5.1103 0.8646 5.3638 18.1147
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 7.8706 3.8631 2.037 0.043198 *
Q1 2.5518 1.2488 2.043 0.042598 *
Q2 4.2158 1.2542 3.361 0.000963 ***
Q3 0.9668 2.1573 0.448 0.654619
Q4 5.2903 2.8444 1.860 0.064667 .
Q5 6.2158 1.7326 3.588 0.000439 ***
Q6 5.2249 1.3253 3.942 0.000119 ***
Q7 2.4326 1.3248 1.836 0.068102 .
Q8 4.4629 1.4891 2.997 0.003144 **
Q9 1.0789 1.9083 0.565 0.572594
Q10 5.6620 1.3962 4.055 7.69e-05 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 8.077 on 166 degrees of freedom
Multiple R-squared: 0.4474, Adjusted R-squared: 0.4141
F-statistic: 13.44 on 10 and 166 DF, p-value: < 2.2e-16
--- STEPWISE MODEL: En İyi Değişkenleri Seçme (AIC Yöntemi) ---
Gereksiz sorular modelden atılıyor...
--- STEPWISE MODEL SONUCU ---
Call:
lm(formula = Toplam_Puan ~ Q1 + Q2 + Q4 + Q5 + Q6 + Q7 + Q8 +
Q10, data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-30.8098 -5.0159 0.8124 5.6452 18.4212
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 9.534 3.116 3.059 0.002582 **
Q1 2.579 1.231 2.095 0.037681 *
Q2 4.215 1.248 3.378 0.000907 ***
Q4 5.418 2.824 1.919 0.056723 .
Q5 6.235 1.720 3.626 0.000381 ***
Q6 5.305 1.314 4.037 8.22e-05 ***
Q7 2.524 1.310 1.927 0.055717 .
Q8 4.391 1.480 2.968 0.003435 **
Q10 5.609 1.388 4.040 8.11e-05 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 8.043 on 168 degrees of freedom
Multiple R-squared: 0.4455, Adjusted R-squared: 0.4191
F-statistic: 16.87 on 8 and 168 DF, p-value: < 2.2e-16
--- AIC KARŞILAŞTIRMASI (Düşük Olan İyidir) ---
Model 1 (Tümü) Model Step (Seçilmiş)
1254.475 1251.070
AIC Farkları:
Model 1 (Tümü) Model Step (Seçilmiş)
3.404804 0.000000
SONUÇ: En düşük AIC değerine sahip model istatistiksel olarak en iyi modeldir.
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### ANALİZ BAŞLIYOR: DOSYA 3 (Başlıklı Versiyon) ###
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--- MODEL 1: İlk 10 Soru ile Tahmin (Interaction Yok) ---
Call:
lm(formula = Toplam_Puan ~ ., data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-25.314 -7.238 -2.035 7.563 29.246
Coefficients: (2 not defined because of singularities)
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.1520 6.1359 0.514 0.608360
Q1 11.9916 5.0228 2.387 0.018453 *
Q2 13.1576 5.5781 2.359 0.019872 *
Q3 4.5826 2.2086 2.075 0.040033 *
Q4 NA NA NA NA
Q5 1.7215 2.4496 0.703 0.483479
Q6 7.0226 2.4095 2.914 0.004217 **
Q7 7.2111 2.5393 2.840 0.005264 **
Q8 0.2189 2.3911 0.092 0.927195
Q9 12.1322 3.1400 3.864 0.000178 ***
Q10 NA NA NA NA
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 11.78 on 126 degrees of freedom
Multiple R-squared: 0.3328, Adjusted R-squared: 0.2904
F-statistic: 7.855 on 8 and 126 DF, p-value: 1.576e-08
--- STEPWISE MODEL: En İyi Değişkenleri Seçme (AIC Yöntemi) ---
Gereksiz sorular modelden atılıyor...
--- STEPWISE MODEL SONUCU ---
Call:
lm(formula = Toplam_Puan ~ Q1 + Q2 + Q3 + Q6 + Q7 + Q9, data = df_analiz)
Residuals:
Min 1Q Median 3Q Max
-26.600 -6.993 -2.001 7.869 27.952
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.164 6.091 0.519 0.604376
Q1 12.746 4.879 2.612 0.010068 *
Q2 13.773 5.332 2.583 0.010916 *
Q3 4.614 2.179 2.118 0.036102 *
Q6 7.062 2.387 2.959 0.003683 **
Q7 7.303 2.521 2.897 0.004439 **
Q9 12.319 3.083 3.995 0.000108 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 11.71 on 128 degrees of freedom
Multiple R-squared: 0.3301, Adjusted R-squared: 0.2987
F-statistic: 10.51 on 6 and 128 DF, p-value: 1.828e-09
--- AIC KARŞILAŞTIRMASI (Düşük Olan İyidir) ---
Model 1 (Tümü) Model Step (Seçilmiş)
1059.667 1056.214
AIC Farkları:
Model 1 (Tümü) Model Step (Seçilmiş)
3.453429 0.000000
SONUÇ: En düşük AIC değerine sahip model istatistiksel olarak en iyi modeldir.Editor is loading...
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