diff --git a/module3/exo3/exercice.html b/module3/exo3/exercice.html
index b347326b47142775c3cc32d283bbe3fa539402d6..49b585ab46d69f0d65873f1453c2475028b8040a 100644
--- a/module3/exo3/exercice.html
+++ b/module3/exo3/exercice.html
@@ -948,9 +948,9 @@ Missing data: 2012-09-29 - 2012-10-20  (21 days)
 <p>Une visualisation de l&#39;ensemble des données semble montrer une augmentation tendancielle de la concentration en CO2, à laquelle se superpose une oscillation à plus haute fréquence.</p>
 
 
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@@ -7425,9 +7425,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>Un zoom sur les dernières années laisse penser que le cycle court se produit sur une période annuelle, avec un minimum local atteint chaque année autour du mois d&#39;octobre.</p>
 
 
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@@ -8005,9 +8005,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>En zoomant sur les données interpolées autour de l&#39;une des périodes de données manquantes, on observe bien le résultat attendu : une interpolation linéaire journalière lorsque les données sont disponibles, mais aucune interpolation lorsque les données sont manquantes.</p>
 
 
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@@ -8293,9 +8293,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>Sur ces années complètes, la composante <code>day</code> de la date devrait être équirépartie entre 0 et 365, ce qui est globalement le cas. Les données manquantes n&#39;ont donc pas d&#39;impact significatif de ce point de vue là.</p>
 
 
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@@ -8842,9 +8842,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>Examinons par exemple l&#39;effet de ce traitement sur les données interpolées de l&#39;année 1982. On voit, sur la figure du haut, les mesures brutes ainsi que la tendance locale &#40;affine&#41;. Sur la figure du bas, la composante périodique locale vérifie bien les contraintes demandées, avec ses valeurs nulles aux bords.</p>
 
 
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@@ -11358,9 +11358,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>Et nous traçons l&#39;ensemble des composantes oscillantes locales aux côtés de cette moyenne.</p>
 
 
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@@ -54765,9 +54765,9 @@ Missing data: 2012-09-29 - 2012-10-20  &#40;21 days&#41;
 <p>Même s&#39;il reste des oscillations locales, nous constatons tout de même que la composante tendancielle est devenue suffisamment lisse pour récupérer une forme de monotonie.</p>
 
 
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@@ -135400,9 +135400,9 @@ date_num ^ 2    9.10059e-8  2.66606e-9    34.135     &lt;1e-37    8.56585e-8
 <p>Par ailleurs, s&#39;il est clair que la tendance est à l&#39;augmentation, on voit toutefois que l&#39;incertitude sur les paramètres n&#39;est pas complètement négligeable. L&#39;incertitude sur <span class="math">$\beta$</span> est en particulier de nature à engendrer une perte de prédictibilité du modèle en temps long.</p>
 
 
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@@ -262573,7 +262551,11 @@ date_num ^ 2    9.10059e-8  2.66606e-9    34.135     &lt;1e-37    8.56585e-8
 
 
 <pre class='hljl'>
-<span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>theta</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>predict</span><span class='hljl-p'>(</span><span class='hljl-n'>model</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>prediction</span><span class='hljl-p'>)</span><span class='hljl-t'>
+<span class='hljl-n'>pred</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>predict</span><span class='hljl-p'>(</span><span class='hljl-n'>model</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>prediction</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>interval</span><span class='hljl-oB'>=:</span><span class='hljl-n'>prediction</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>level</span><span class='hljl-oB'>=</span><span class='hljl-nfB'>0.95</span><span class='hljl-p'>)</span><span class='hljl-t'>
+</span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>theta</span><span class='hljl-t'>  </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>pred</span><span class='hljl-oB'>.</span><span class='hljl-n'>prediction</span><span class='hljl-t'>
+</span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>theta1</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>pred</span><span class='hljl-oB'>.</span><span class='hljl-n'>prediction</span><span class='hljl-t'> </span><span class='hljl-oB'>.-</span><span class='hljl-t'> </span><span class='hljl-n'>pred</span><span class='hljl-oB'>.</span><span class='hljl-n'>lower</span><span class='hljl-t'>
+</span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>theta2</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>pred</span><span class='hljl-oB'>.</span><span class='hljl-n'>upper</span><span class='hljl-t'> </span><span class='hljl-oB'>.-</span><span class='hljl-t'> </span><span class='hljl-n'>pred</span><span class='hljl-oB'>.</span><span class='hljl-n'>prediction</span><span class='hljl-t'>
+
 </span><span class='hljl-n'>prediction</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>join</span><span class='hljl-p'>(</span><span class='hljl-n'>prediction</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>avg</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>on</span><span class='hljl-oB'>=:</span><span class='hljl-n'>day</span><span class='hljl-p'>)</span><span class='hljl-t'>
 
 </span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>co2</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>theta</span><span class='hljl-t'> </span><span class='hljl-oB'>.+</span><span class='hljl-t'> </span><span class='hljl-n'>prediction</span><span class='hljl-oB'>.</span><span class='hljl-n'>phi_mean</span><span class='hljl-t'>
@@ -262581,16 +262563,16 @@ date_num ^ 2    9.10059e-8  2.66606e-9    34.135     &lt;1e-37    8.56585e-8
 </pre>
 
 
-413 rows × 7 columns
-<table><thead><tr><th></th><th>date_num</th><th>date</th><th>day</th><th>theta</th><th>phi_mean</th><th>phi_std</th><th>co2</th></tr><tr><th></th><th>Int64</th><th>Dates.Date</th><th>Int64</th><th>Float64?</th><th>Float64</th><th>Float64</th><th>Float64</th></tr></thead><tbody><tr><th>1</th><td>20367</td><td>2014-01-01</td><td>0</td><td>396.753169</td><td>-0.102212</td><td>0.125698</td><td>396.650956</td></tr><tr><th>2</th><td>20377</td><td>2014-01-11</td><td>10</td><td>396.812412</td><td>0.198187</td><td>0.220453</td><td>397.010599</td></tr><tr><th>3</th><td>20387</td><td>2014-01-21</td><td>20</td><td>396.871673</td><td>0.403495</td><td>0.374229</td><td>397.275168</td></tr><tr><td>...</td></tr><tr><th>411</th><td>24467</td><td>2025-03-24</td><td>82</td><td>422.568862</td><td>2.023296</td><td>0.459201</td><td>424.592158</td></tr><tr><th>412</th><td>24477</td><td>2025-04-03</td><td>92</td><td>422.635568</td><td>2.538372</td><td>0.467285</td><td>425.173939</td></tr><tr><th>413</th><td>24487</td><td>2025-04-13</td><td>102</td><td>422.702291</td><td>2.751356</td><td>0.541977</td><td>425.453647</td></tr></tbody></table>
+413 rows × 9 columns
+<table><thead><tr><th></th><th>date_num</th><th>date</th><th>day</th><th>theta</th><th>theta1</th><th>theta2</th><th>phi_mean</th><th>phi_std</th><th>co2</th></tr><tr><th></th><th>Int64</th><th>Dates.Date</th><th>Int64</th><th>Float64?</th><th>Float64</th><th>Float64</th><th>Float64</th><th>Float64</th><th>Float64</th></tr></thead><tbody><tr><th>1</th><td>20367</td><td>2014-01-01</td><td>0</td><td>396.753169</td><td>1.330117</td><td>1.330117</td><td>-0.102212</td><td>0.125698</td><td>396.650956</td></tr><tr><th>2</th><td>20377</td><td>2014-01-11</td><td>10</td><td>396.812412</td><td>1.330441</td><td>1.330441</td><td>0.198187</td><td>0.220453</td><td>397.010599</td></tr><tr><th>3</th><td>20387</td><td>2014-01-21</td><td>20</td><td>396.871673</td><td>1.330766</td><td>1.330766</td><td>0.403495</td><td>0.374229</td><td>397.275168</td></tr><tr><td>...</td></tr><tr><th>411</th><td>24467</td><td>2025-03-24</td><td>82</td><td>422.568862</td><td>1.571011</td><td>1.571011</td><td>2.023296</td><td>0.459201</td><td>424.592158</td></tr><tr><th>412</th><td>24477</td><td>2025-04-03</td><td>92</td><td>422.635568</td><td>1.571895</td><td>1.571895</td><td>2.538372</td><td>0.467285</td><td>425.173939</td></tr><tr><th>413</th><td>24487</td><td>2025-04-13</td><td>102</td><td>422.702291</td><td>1.572782</td><td>1.572782</td><td>2.751356</td><td>0.541977</td><td>425.453647</td></tr></tbody></table>
 
 
 <p>On voit que la forme annuelle semble bien reproduite sur les 5 premières années, pour lesquelles il est possible de comparer les prédictions avec les mesures réelles. En revanche, la tendance ne colle que sur les deux premières années d&#39;extrapolation ; on observe un décalage significatif et croissant ensuite.</p>
 
 
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+    PLOT = document.getElementById('b63213de-a615-4674-b59b-ebb15b6c2834');
     Plotly.plot(PLOT, [
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@@ -263250,6 +263232,1684 @@ date_num ^ 2    9.10059e-8  2.66606e-9    34.135     &lt;1e-37    8.56585e-8
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@@ -265117,9 +266777,9 @@ date_num ^ 2  -8.3699e-16   1.52956e-16   -5.47208    &lt;1e-7   -1.13678e-15  -
 <p>En reprenant l&#39;analyse précédente, ce nouveau modèle donne les prédictions suivantes, qui collent quasi-parfaitement aux mesures dans la période de test :</p>
 
 
-            <div id="47ce950b-f819-489d-9c55-18d0d268f8b4" style="width:576px;height:384px;"></div>
+            <div id="39f40aa1-2e7f-4fd6-ba37-4bfd4145998a" style="width:576px;height:384px;"></div>
     <script>
-    PLOT = document.getElementById('47ce950b-f819-489d-9c55-18d0d268f8b4');
+    PLOT = document.getElementById('39f40aa1-2e7f-4fd6-ba37-4bfd4145998a');
     Plotly.plot(PLOT, [
     {
         "xaxis": "x1",
@@ -267632,7 +269292,7 @@ date_num ^ 2  -8.3699e-16   1.52956e-16   -5.47208    &lt;1e-7   -1.13678e-15  -
           <div class="footer"><p>
           Published from <a href="exercice.jmd">exercice.jmd</a> using
           <a href="http://github.com/mpastell/Weave.jl">Weave.jl</a>
-           on 2020-04-16.
+           on 2020-04-18.
           <p></div>
 
 
diff --git a/module3/exo3/exercice.jmd b/module3/exo3/exercice.jmd
index 632d2cfab4107d5f48fd05316e0831f309586b35..ea927addc415d1fb86fa2fa821ba487bf75aac8b 100644
--- a/module3/exo3/exercice.jmd
+++ b/module3/exo3/exercice.jmd
@@ -613,15 +613,15 @@ négligeable. L'incertitude sur $\beta$ est en particulier de nature à engendre
 une perte de prédictibilité du modèle en temps long.
 
 ```julia; echo=false; results="raw"
-data.theta_pred = predict(model, data)
+pred = predict(model, data, interval=:prediction, level=0.95)
+data.theta_pred = pred.prediction
+data.theta_pred1 = pred.prediction .- pred.lower
+data.theta_pred2 = pred.upper .- pred.prediction
 
 plot(xlabel="Date", ylabel="CO2 [ppm]")
 plot!(data_raw.date, data_raw.co2, label="mesures")
-plot!(data.date, data.theta_pred, label="modèle theta", linewidth=3)
-plot!(data.date, α .+ β1 * data.date_num .+ γ*data.date_num.^2,
-      linecolor="red", label="modèle theta (IC 95% sur beta)")
-plot!(data.date, α .+ β2 * data.date_num .+ γ*data.date_num.^2,
-      linecolor="red", label=nothing)
+plot!(data.date, data.theta_pred, label="modèle theta",
+      ribbon = (data.theta_pred1, data.theta_pred2))
 disp()
 ```
 
@@ -654,7 +654,11 @@ Le modèle `GLM` précédemment calibré est utilisé pour prédire $\theta(t)$.
 ajoute la fonction de forme annuelle $\phi(t)$ par périodicité.
 
 ```julia; results="raw"
-prediction.theta = predict(model, prediction)
+pred = predict(model, prediction, interval=:prediction, level=0.95)
+prediction.theta  = pred.prediction
+prediction.theta1 = pred.prediction .- pred.lower
+prediction.theta2 = pred.upper .- pred.prediction
+
 prediction = join(prediction, avg, on=:day)
 
 prediction.co2 = prediction.theta .+ prediction.phi_mean
@@ -670,8 +674,10 @@ d'extrapolation ; on observe un décalage significatif et croissant ensuite.
 idx = data_raw.date .> Date(lastyear)
 plot(xlabel="Date", ylabel="CO2 [ppm]")
 plot!(data_raw.date[idx], data_raw.co2[idx], label="mesures")
-plot!(prediction.date, prediction.theta,     label="tendance", linewidth=2)
-plot!(prediction.date, prediction.co2,       label="prédiction", linewidth=2)
+plot!(prediction.date, prediction.theta, label="tendance",
+      linewidth=2,
+      ribbon = (prediction.theta1, prediction.theta2))
+plot!(prediction.date, prediction.co2, label="prédiction", linewidth=2)
 disp()
 ```
 
diff --git a/module3/exo3/exercice.pdf b/module3/exo3/exercice.pdf
index ce71c2f01ee6ef7c361772cdb48f63dee83480a9..f7d720278b64eb697a2160a666de922052c5af08 100644
Binary files a/module3/exo3/exercice.pdf and b/module3/exo3/exercice.pdf differ