diff --git a/analytics/classes/model.php b/analytics/classes/model.php
index fa6e91eae88..02116a72ce6 100644
--- a/analytics/classes/model.php
+++ b/analytics/classes/model.php
@@ -1524,7 +1524,10 @@ class model {
         // 1 db read per context.
         $this->purge_insights_cache();
 
-        $this->model->trained = 0;
+        if (!$this->is_static()) {
+            $this->model->trained = 0;
+        }
+
         $this->model->timemodified = time();
         $this->model->usermodified = $USER->id;
         $DB->update_record('analytics_models', $this->model);
diff --git a/analytics/tests/model_test.php b/analytics/tests/model_test.php
index 21009bace9b..00c43cde756 100644
--- a/analytics/tests/model_test.php
+++ b/analytics/tests/model_test.php
@@ -168,10 +168,34 @@ class analytics_model_testcase extends advanced_testcase {
         $this->assertEmpty($DB->count_records('analytics_predict_samples'));
         $this->assertEmpty($DB->count_records('analytics_used_files'));
 
+        // Check that the model is marked as not trained after clearing (as it is not a static one).
+        $this->assertEquals(0, $DB->get_field('analytics_models', 'trained', array('id' => $this->modelobj->id)));
+
         set_config('enabled_stores', '', 'tool_log');
         get_log_manager(true);
     }
 
+    /**
+     * Test behaviour of {\core_analytics\model::clear()} for static models.
+     */
+    public function test_clear_static() {
+        global $DB;
+        $this->resetAfterTest();
+
+        $statictarget = new test_static_target_shortname();
+        $indicators['test_indicator_max'] = \core_analytics\manager::get_indicator('test_indicator_max');
+        $model = \core_analytics\model::create($statictarget, $indicators, '\core\analytics\time_splitting\quarters');
+        $modelobj = $model->get_model_obj();
+
+        // Static models are always considered trained.
+        $this->assertEquals(1, $DB->get_field('analytics_models', 'trained', array('id' => $modelobj->id)));
+
+        $model->clear();
+
+        // Check that the model is still marked as trained even after clearing.
+        $this->assertEquals(1, $DB->get_field('analytics_models', 'trained', array('id' => $modelobj->id)));
+    }
+
     public function test_model_manager() {
         $this->resetAfterTest(true);
 
diff --git a/lib/db/upgrade.php b/lib/db/upgrade.php
index c91de50dfb4..1e27470a16d 100644
--- a/lib/db/upgrade.php
+++ b/lib/db/upgrade.php
@@ -3050,5 +3050,11 @@ function xmldb_main_upgrade($oldversion) {
         upgrade_main_savepoint(true, 2018120303.02);
     }
 
+    if ($oldversion < 2018120303.05) {
+        // The no_teaching model might have been marked as not-trained by mistake (static models are always trained).
+        $DB->set_field('analytics_models', 'trained', 1, ['target' => '\core\analytics\target\no_teaching']);
+        upgrade_main_savepoint(true, 2018120303.05);
+    }
+
     return true;
 }
diff --git a/version.php b/version.php
index d5efb8ec96d..7bf6234f16d 100644
--- a/version.php
+++ b/version.php
@@ -29,7 +29,7 @@
 
 defined('MOODLE_INTERNAL') || die();
 
-$version  = 2018120303.04;              // 20181203      = branching date YYYYMMDD - do not modify!
+$version  = 2018120303.05;              // 20181203      = branching date YYYYMMDD - do not modify!
                                         //         RR    = release increments - 00 in DEV branches.
                                         //           .XX = incremental changes.