diff --git a/analytics/classes/insights_generator.php b/analytics/classes/insights_generator.php
index 24fdfaf1d8d..cb24ccdc251 100644
--- a/analytics/classes/insights_generator.php
+++ b/analytics/classes/insights_generator.php
@@ -193,18 +193,23 @@ class insights_generator {
         $insighturl = null;
         foreach ($predictionactions as $action) {
             $actionurl = $action->get_url();
+            $opentoblank = false;
             if (!$actionurl->get_param('forwardurl')) {
 
-                $actiondoneurl = new \moodle_url('/report/insights/done.php');
+                $params = ['actionvisiblename' => $action->get_text(), 'target' => '_blank'];
+                $actiondoneurl = new \moodle_url('/report/insights/done.php', $params);
                 // Set the forward url to the 'done' script.
                 $actionurl->param('forwardurl', $actiondoneurl->out(false));
+
+                $opentoblank = true;
             }
 
             if (empty($insighturl)) {
                 // We use the primary action url as insight url so we log that the user followed the provided link.
                 $insighturl = $action->get_url();
             }
-            $actiondata = (object)['url' => $action->get_url()->out(false), 'text' => $action->get_text()];
+            $actiondata = (object)['url' => $action->get_url()->out(false), 'text' => $action->get_text(),
+                'opentoblank' => $opentoblank];
             $fullmessageplaintext .= get_string('insightinfomessageaction', 'analytics', $actiondata) . PHP_EOL;
             $messageactions[] = $actiondata;
         }
diff --git a/analytics/classes/local/target/base.php b/analytics/classes/local/target/base.php
index daf27246b45..0db27aa6d40 100644
--- a/analytics/classes/local/target/base.php
+++ b/analytics/classes/local/target/base.php
@@ -105,6 +105,15 @@ abstract class base extends \core_analytics\calculable {
         return true;
     }
 
+    /**
+     * Should the insights of this model be linked from reports?
+     *
+     * @return bool
+     */
+    public function link_insights_report(): bool {
+        return true;
+    }
+
     /**
      * Based on facts (processed by machine learning backends) by default.
      *
@@ -147,7 +156,7 @@ abstract class base extends \core_analytics\calculable {
 
         $actions = array();
 
-        if ($includedetailsaction) {
+        if ($this->link_insights_report() && $includedetailsaction) {
 
             $predictionurl = new \moodle_url('/report/insights/prediction.php', array('id' => $predictionid));
             $detailstext = $this->get_view_details_text();
diff --git a/analytics/classes/manager.php b/analytics/classes/manager.php
index 03b02e9399a..699d22b7727 100644
--- a/analytics/classes/manager.php
+++ b/analytics/classes/manager.php
@@ -484,6 +484,9 @@ class manager {
     /**
      * Returns the models with insights at the provided context.
      *
+     * Note that this method is used for display purposes. It filters out models whose insights
+     * are not linked from the reports page.
+     *
      * @param \context $context
      * @return \core_analytics\model[]
      */
@@ -494,13 +497,52 @@ class manager {
         $models = self::get_all_models(true, true, $context);
         foreach ($models as $key => $model) {
             // Check that it not only have predictions but also generates insights from them.
-            if (!$model->uses_insights()) {
+            if (!$model->uses_insights() || !$model->get_target()->link_insights_report()) {
                 unset($models[$key]);
             }
         }
         return $models;
     }
 
+    /**
+     * Returns the models that generated insights in the provided context. It can also be used to add new models to the context.
+     *
+     * Note that if you use this function with $newmodelid is the caller responsibility to ensure that the
+     * provided model id generated insights for the provided context.
+     *
+     * @throws \coding_exception
+     * @param  \context $context
+     * @param  int|null $newmodelid A new model to add to the list of models with insights in the provided context.
+     * @return int[]
+     */
+    public static function cached_models_with_insights(\context $context, int $newmodelid = null) {
+
+        $cache = \cache::make('core', 'contextwithinsights');
+        $modelids = $cache->get($context->id);
+        if ($modelids === false) {
+            // The cache is empty, but we don't know if it is empty because there are no insights
+            // in this context or because cache/s have been purged, we need to be conservative and
+            // "pay" 1 db read to fill up the cache.
+
+            $models = \core_analytics\manager::get_models_with_insights($context);
+
+            if ($newmodelid && empty($models[$newmodelid])) {
+                throw new \coding_exception('The provided modelid ' . $newmodelid . ' did not generate any insights');
+            }
+
+            $modelids = array_keys($models);
+            $cache->set($context->id, $modelids);
+
+        } else if ($newmodelid && !in_array($newmodelid, $modelids)) {
+            // We add the context we got as an argument to the cache.
+
+            array_push($modelids, $newmodelid);
+            $cache->set($context->id, $modelids);
+        }
+
+        return $modelids;
+    }
+
     /**
      * Returns a prediction
      *
diff --git a/analytics/classes/model.php b/analytics/classes/model.php
index e5ca153c6d4..3678d97adba 100644
--- a/analytics/classes/model.php
+++ b/analytics/classes/model.php
@@ -963,19 +963,11 @@ class model {
 
         $this->get_target()->generate_insight_notifications($this->model->id, $samplecontexts, $predictions);
 
-        // Update cache.
-        $cache = \cache::make('core', 'contextwithinsights');
-        foreach ($samplecontexts as $context) {
-            $modelids = $cache->get($context->id);
-            if (!$modelids) {
-                // The cache is empty, but we don't know if it is empty because there are no insights
-                // in this context or because cache/s have been purged, we need to be conservative and
-                // "pay" 1 db read to fill up the cache.
-                $models = \core_analytics\manager::get_models_with_insights($context);
-                $cache->set($context->id, array_keys($models));
-            } else if (!in_array($this->get_id(), $modelids)) {
-                array_push($modelids, $this->get_id());
-                $cache->set($context->id, $modelids);
+        if ($this->get_target()->link_insights_report()) {
+
+            // Update cache.
+            foreach ($samplecontexts as $context) {
+                \core_analytics\manager::cached_models_with_insights($context, $this->get_id());
             }
         }
     }
diff --git a/analytics/templates/insight_info_message_prediction.mustache b/analytics/templates/insight_info_message_prediction.mustache
index 9896031bf6d..7bd76de7c0d 100644
--- a/analytics/templates/insight_info_message_prediction.mustache
+++ b/analytics/templates/insight_info_message_prediction.mustache
@@ -33,7 +33,8 @@
                 "text": "Moodle"
             }, {
                 "url": "https://en.wikipedia.org/wiki/Noodle",
-                "text": "Noodle"
+                "text": "Noodle",
+                "opentoblank": 1
             }
         ]
     }
@@ -65,5 +66,5 @@ body:not(.dir-ltr):not(.dir-rtl) .btn-insight {
 
 <br/>
 {{#actions}}
-    <a class="btn btn-default m-r-1 m-b-1 btn-insight" href="{{url}}">{{text}}</a>
+    <a class="btn btn-default m-r-1 m-b-1 btn-insight" {{#opentoblank}}target="_blank" {{/opentoblank}}href="{{url}}">{{text}}</a>
 {{/actions}}
diff --git a/lang/en/calendar.php b/lang/en/calendar.php
index 9a7982ef762..2e31f24bb36 100644
--- a/lang/en/calendar.php
+++ b/lang/en/calendar.php
@@ -261,6 +261,7 @@ $string['urlforical'] = 'URL for iCalendar export, for subscribing to calendar';
 $string['user'] = 'User';
 $string['userevent'] = 'User event';
 $string['userevents'] = 'User events';
+$string['viewupcomingactivitiesdue'] = 'View the upcoming activities due';
 $string['wed'] = 'Wed';
 $string['wednesday'] = 'Wednesday';
 $string['weekly'] = 'Weekly';
diff --git a/lib/deprecatedlib.php b/lib/deprecatedlib.php
index afc91d429f0..e8335e730ff 100644
--- a/lib/deprecatedlib.php
+++ b/lib/deprecatedlib.php
@@ -3449,3 +3449,20 @@ function get_courses_page($categoryid="all", $sort="c.sortorder ASC", $fields="c
     $rs->close();
     return $visiblecourses;
 }
+
+/**
+ * Returns the models that generated insights in the provided context.
+ *
+ * @deprecated since Moodle 3.8 MDL-66091 - please do not use this function any more.
+ * @todo MDL-65799 This will be deleted in Moodle 4.2
+ * @see \core_analytics\manager::cached_models_with_insights
+ * @param  \context $context
+ * @return int[]
+ */
+function report_insights_context_insights(\context $context) {
+
+    debugging('report_insights_context_insights is deprecated. Please use ' .
+        '\core_analytics\manager::cached_models_with_insights instead', DEBUG_DEVELOPER);
+
+    return \core_analytics\manager::cached_models_with_insights($context);
+}
diff --git a/report/insights/done.php b/report/insights/done.php
index d64d15120b4..4878ef0092d 100644
--- a/report/insights/done.php
+++ b/report/insights/done.php
@@ -26,5 +26,18 @@ require_once(__DIR__ . '/../../config.php');
 
 require_login();
 
-$url = new \moodle_url('/');
-redirect($url, get_string('actionsaved', 'report_insights'), null, \core\output\notification::NOTIFY_SUCCESS);
+$actionvisiblename = required_param('actionvisiblename', PARAM_NOTAGS);
+
+$PAGE->set_pagelayout('popup');
+$PAGE->set_context(\context_system::instance());
+$PAGE->set_title(get_site()->fullname);
+$PAGE->set_url(new \moodle_url('/report/insights/done.php'));
+
+echo $OUTPUT->header();
+
+$notification = new \core\output\notification(get_string('actionsaved', 'report_insights', $actionvisiblename),
+    \core\output\notification::NOTIFY_SUCCESS);
+$notification->set_show_closebutton(false);
+echo $OUTPUT->render($notification);
+
+echo $OUTPUT->footer();
diff --git a/report/insights/insights.php b/report/insights/insights.php
index c45aaf9e79b..5dc9dfc0361 100644
--- a/report/insights/insights.php
+++ b/report/insights/insights.php
@@ -40,10 +40,24 @@ if ($context->contextlevel < CONTEXT_COURSE) {
     // Only for higher levels than course.
     $PAGE->set_context($context);
 }
+
 \core_analytics\manager::check_can_list_insights($context);
 
 // Get all models that are enabled, trained and have predictions at this context.
 $othermodels = \core_analytics\manager::get_all_models(true, true, $context);
+array_filter($othermodels, function($model) use ($context) {
+
+    // Discard insights that are not linked unless you are a manager.
+    if (!$model->get_target()->link_insights_report()) {
+        try {
+            \core_analytics\manager::check_can_manage_models();
+        } catch (\required_capability_exception $e) {
+            return false;
+        }
+    }
+    return true;
+});
+
 if (!$modelid && count($othermodels)) {
     // Autoselect the only available model.
     $model = reset($othermodels);
@@ -89,6 +103,12 @@ if (!$modelid) {
 
 $model = new \core_analytics\model($modelid);
 
+if (!$model->get_target()->link_insights_report()) {
+
+    // Only manager access if this target does not link the insights report.
+    \core_analytics\manager::check_can_manage_models();
+}
+
 $insightinfo = new stdClass();
 $insightinfo->contextname = $context->get_context_name();
 $insightinfo->insightname = $model->get_target()->get_name();
@@ -103,8 +123,12 @@ if (!$model->uses_insights()) {
     exit(0);
 }
 
+if ($context->id == SYSCONTEXTID) {
+    $PAGE->set_heading(get_site()->shortname);
+} else {
+    $PAGE->set_heading($insightinfo->contextname);
+}
 $PAGE->set_title($insightinfo->insightname);
-$PAGE->set_heading($insightinfo->contextname);
 
 // Some models generate one single prediction per context. We can directly show the prediction details in this case.
 if ($model->get_analyser()::one_sample_per_analysable()) {
diff --git a/report/insights/lang/en/report_insights.php b/report/insights/lang/en/report_insights.php
index 646a6e6694d..db7c32e2651 100644
--- a/report/insights/lang/en/report_insights.php
+++ b/report/insights/lang/en/report_insights.php
@@ -22,11 +22,9 @@
  * @license http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later
  */
 
-$string['actionsaved'] = 'Your action has been saved.';
-$string['calculatedvalue'] = 'Calculated value';
+$string['actionsaved'] = 'Your feedback of \'{$a}\' has been saved.';
 $string['disabledmodel'] = 'Sorry, this model has been disabled by the administrator';
-$string['indicator'] = 'Indicator';
-$string['insightprediction'] = '{$a} prediction';
+$string['indicators'] = 'Indicators';
 $string['insight'] = 'Insight';
 $string['insights'] = 'Insights';
 $string['justpredictions'] = 'Please note that the following insights are only predictions. It is not possible to predict the future with any certainty. The insights are provided so that action can be taken as necessary to prevent any negative predictions becoming reality.';
@@ -39,7 +37,6 @@ $string['outcomeverypositive'] = 'Very positive outcome';
 $string['outcomeverynegative'] = 'Very negative outcome';
 $string['pluginname'] = 'Insights';
 $string['prediction'] = 'Prediction';
-$string['predictioncalculations'] = 'Indicator calculations';
 $string['predictiondetails'] = 'Prediction details';
 $string['nodetailsavailable'] = 'No prediction details are relevant.';
 $string['timecreated'] = 'Time predicted';
diff --git a/report/insights/lib.php b/report/insights/lib.php
index 97c9ecb86e4..eb7b4f42139 100644
--- a/report/insights/lib.php
+++ b/report/insights/lib.php
@@ -36,7 +36,7 @@ function report_insights_extend_navigation_course($navigation, $course, $context
 
     if (has_capability('moodle/analytics:listinsights', $context)) {
 
-        $modelids = report_insights_context_insights($context);
+        $modelids = \core_analytics\manager::cached_models_with_insights($context);
         if (!empty($modelids)) {
             $url = new moodle_url('/report/insights/insights.php', array('contextid' => $context->id));
             $node = navigation_node::create(get_string('insights', 'report_insights'), $url, navigation_node::TYPE_SETTING,
@@ -61,7 +61,7 @@ function report_insights_myprofile_navigation(core_user\output\myprofile\tree $t
     $context = \context_user::instance($user->id);
     if (\core_analytics\manager::check_can_list_insights($context, true)) {
 
-        $modelids = report_insights_context_insights($context);
+        $modelids = \core_analytics\manager::cached_models_with_insights($context);
         if (!empty($modelids)) {
             $url = new moodle_url('/report/insights/insights.php', array('contextid' => $context->id));
             $node = new core_user\output\myprofile\node('reports', 'insights', get_string('insights', 'report_insights'),
@@ -82,7 +82,7 @@ function report_insights_extend_navigation_category_settings($navigation, $conte
 
     if (has_capability('moodle/analytics:listinsights', $context)) {
 
-        $modelids = report_insights_context_insights($context);
+        $modelids = \core_analytics\manager::cached_models_with_insights($context);
         if (!empty($modelids)) {
             $url = new moodle_url('/report/insights/insights.php', array('contextid' => $context->id));
 
@@ -99,22 +99,3 @@ function report_insights_extend_navigation_category_settings($navigation, $conte
         }
     }
 }
-
-/**
- * Returns the models that generated insights in the provided context.
- *
- * @param \context $context
- * @return int[]
- */
-function report_insights_context_insights(\context $context) {
-
-    $cache = \cache::make('core', 'contextwithinsights');
-    $modelids = $cache->get($context->id);
-    if ($modelids === false) {
-        // They will be full unless a model has been cleared.
-        $models = \core_analytics\manager::get_models_with_insights($context);
-        $modelids = array_keys($models);
-        $cache->set($context->id, $modelids);
-    }
-    return $modelids;
-}
diff --git a/report/insights/prediction.php b/report/insights/prediction.php
index bb67a028487..6db5e394bc6 100644
--- a/report/insights/prediction.php
+++ b/report/insights/prediction.php
@@ -71,8 +71,12 @@ if (!$model->uses_insights()) {
     exit(0);
 }
 
+if ($context->id == SYSCONTEXTID) {
+    $PAGE->set_heading(get_site()->shortname);
+} else {
+    $PAGE->set_heading($insightinfo->contextname);
+}
 $PAGE->set_title($insightinfo->insightname);
-$PAGE->set_heading($insightinfo->contextname);
 
 echo $OUTPUT->header();
 
diff --git a/report/insights/templates/insight_details.mustache b/report/insights/templates/insight_details.mustache
index ad61ef1b94a..33164dd933e 100644
--- a/report/insights/templates/insight_details.mustache
+++ b/report/insights/templates/insight_details.mustache
@@ -73,7 +73,7 @@
     }
 }}
 
-<h2 class="mb-2">{{#str}}insightprediction, report_insights, {{insightname}} {{/str}}</h2>
+<h2 class="mb-2">{{insightname}}</h2>
 <table class="generaltable insights-list">
     {{#showpredicionheading}}
         <caption>
@@ -101,29 +101,23 @@
     <caption>{{#str}}predictiondetails, report_insights{{/str}}</caption>
     <tbody>
         <tr>
-            <td scope="row">{{#str}}timecreated, report_insights{{/str}}</td>
+            <th scope="row">{{#str}}timecreated, report_insights{{/str}}</td>
             <td>{{timecreated}}</td>
         </tr>
         {{#timerange}}
             <tr>
-                <td scope="row">{{#str}}timerange, report_insights{{/str}}</td>
+                <th scope="row">{{#str}}timerange, report_insights{{/str}}</td>
                 <td>{{.}}</td>
             </tr>
         {{/timerange}}
     </tbody>
 </table>
 <table class="generaltable prediction-calculations">
-    <caption class="accesshide">{{#str}}predictioncalculations, report_insights{{/str}}</caption>
-    <thead>
-        <tr>
-            <th scope="col">{{#str}}indicator, report_insights{{/str}}</th>
-            <th scope="col">{{#str}}calculatedvalue, report_insights{{/str}}</th>
-        </tr>
-    </thead>
+    <caption>{{#str}}indicators, report_insights{{/str}}</caption>
     <tbody>
     {{#calculations}}
         <tr>
-            <td class="{{#style}}table-{{style}}{{/style}}">{{name}}</td>
+            <th scope="row" class="{{#style}}table-{{style}}{{/style}}">{{name}}</td>
             <td class="{{#style}}table-{{style}}{{/style}}">{{#outcomeicon}}{{> core/pix_icon}}{{/outcomeicon}} {{displayvalue}}</td>
         </tr>
     {{/calculations}}
diff --git a/user/classes/analytics/target/upcoming_activities_due.php b/user/classes/analytics/target/upcoming_activities_due.php
index b97ecbe1d44..bd3fe9edc02 100644
--- a/user/classes/analytics/target/upcoming_activities_due.php
+++ b/user/classes/analytics/target/upcoming_activities_due.php
@@ -160,6 +160,15 @@ class upcoming_activities_due extends \core_analytics\local\target\binary {
         return 0;
     }
 
+    /**
+     * No need to link to the insights report in this case.
+     *
+     * @return bool
+     */
+    public function link_insights_report(): bool {
+        return false;
+    }
+
     /**
      * Adds a view upcoming events action.
      *
@@ -180,9 +189,9 @@ class upcoming_activities_due extends \core_analytics\local\target\binary {
 
         // We force a lookahead of 30 days so we are sure that the upcoming activities due are shown.
         $url = new \moodle_url('/calendar/view.php', ['view' => 'upcoming', 'lookahead' => '30']);
-        $pix = new \pix_icon('i/calendar', get_string('upcomingevents', 'calendar'));
+        $pix = new \pix_icon('i/calendar', get_string('viewupcomingactivitiesdue', 'calendar'));
         $action = new \core_analytics\prediction_action('viewupcoming', $prediction,
-            $url, $pix, get_string('upcomingevents', 'calendar'));
+            $url, $pix, get_string('viewupcomingactivitiesdue', 'calendar'));
 
         return array_merge([$action], $parentactions);
     }