diff --git a/build.gradle b/build.gradle
index d450c9acd..6cecc7fe2 100644
--- a/build.gradle
+++ b/build.gradle
@@ -479,15 +479,16 @@ List<String> jacocoExclusions = [
         // code for configuration, settings, etc is excluded from coverage
         'org.opensearch.ad.AnomalyDetectorPlugin',
 
+        // rest layer is tested in integration testing mostly, difficult to mock all of it
+        'org.opensearch.ad.rest.*',
+
         'org.opensearch.ad.model.ModelProfileOnNode',
         'org.opensearch.ad.model.InitProgressProfile',
         'org.opensearch.ad.model.ADTaskProfile',
-        'org.opensearch.ad.model.AnomalyResultBucket',
-        'org.opensearch.ad.model.EntityProfileName',
         'org.opensearch.ad.rest.*',
         'org.opensearch.ad.AnomalyDetectorJobRunner',
 
-        // Class containing just constants.  Don't need to test
+        // Class containing just constants. Don't need to test
         'org.opensearch.ad.constant.*',
 
         //'org.opensearch.ad.common.exception.AnomalyDetectionException',
diff --git a/src/main/java/org/opensearch/ad/model/EntityProfileName.java b/src/main/java/org/opensearch/ad/model/EntityProfileName.java
index bf6180f16..0d01df54e 100644
--- a/src/main/java/org/opensearch/ad/model/EntityProfileName.java
+++ b/src/main/java/org/opensearch/ad/model/EntityProfileName.java
@@ -15,6 +15,7 @@
 import java.util.Set;
 
 import org.opensearch.ad.Name;
+import org.opensearch.ad.constant.CommonErrorMessages;
 import org.opensearch.ad.constant.CommonName;
 
 public enum EntityProfileName implements Name {
@@ -50,7 +51,7 @@ public static EntityProfileName getName(String name) {
             case CommonName.MODELS:
                 return MODELS;
             default:
-                throw new IllegalArgumentException("Unsupported profile types");
+                throw new IllegalArgumentException(CommonErrorMessages.UNSUPPORTED_PROFILE_TYPE);
         }
     }
 
diff --git a/src/test/java/org/opensearch/ad/AnomalyDetectorProfileRunnerTests.java b/src/test/java/org/opensearch/ad/AnomalyDetectorProfileRunnerTests.java
index 9a6276529..cc703da5d 100644
--- a/src/test/java/org/opensearch/ad/AnomalyDetectorProfileRunnerTests.java
+++ b/src/test/java/org/opensearch/ad/AnomalyDetectorProfileRunnerTests.java
@@ -638,6 +638,8 @@ public void testFailRCFPolling() throws IOException, InterruptedException {
     public void testInitProgressProfile() {
         InitProgressProfile progressOne = new InitProgressProfile("0%", 0, requiredSamples);
         InitProgressProfile progressTwo = new InitProgressProfile("0%", 0, requiredSamples);
+        InitProgressProfile progressThree = new InitProgressProfile("96%", 2, requiredSamples);
         assertTrue(progressOne.equals(progressTwo));
+        assertFalse(progressOne.equals(progressThree));
     }
 }
diff --git a/src/test/java/org/opensearch/ad/model/AnomalyResultBucketTests.java b/src/test/java/org/opensearch/ad/model/AnomalyResultBucketTests.java
index 55e2ce28d..4fdaa5e13 100644
--- a/src/test/java/org/opensearch/ad/model/AnomalyResultBucketTests.java
+++ b/src/test/java/org/opensearch/ad/model/AnomalyResultBucketTests.java
@@ -31,9 +31,21 @@ public void testSerializeAnomalyResultBucket() throws IOException {
         assertTrue(parsedAnomalyResultBucket.equals(anomalyResultBucket));
     }
 
+    public void testAnomalyResultBucketEquals() {
+        Map<String, Object> keyOne = new HashMap<>();
+        keyOne.put("test-field-1", "test-value-1");
+        Map<String, Object> keyTwo = new HashMap<>();
+        keyTwo.put("test-field-2", "test-value-2");
+        AnomalyResultBucket testBucketOne = new AnomalyResultBucket(keyOne, 3, 0.5);
+        AnomalyResultBucket testBucketTwo = new AnomalyResultBucket(keyOne, 5, 0.75);
+        AnomalyResultBucket testBucketThree = new AnomalyResultBucket(keyTwo, 7, 0.2);
+        assertFalse(testBucketOne.equals(testBucketTwo));
+        assertFalse(testBucketTwo.equals(testBucketThree));
+    }
+
     @SuppressWarnings("unchecked")
     public void testToXContent() throws IOException {
-        Map<String, Object> key = new HashMap<String, Object>() {
+        Map<String, Object> key = new HashMap<>() {
             {
                 put("test-field-1", "test-value-1");
             }
diff --git a/src/test/java/org/opensearch/ad/transport/EntityProfileTests.java b/src/test/java/org/opensearch/ad/transport/EntityProfileTests.java
index 2e47c9d8f..4267486e6 100644
--- a/src/test/java/org/opensearch/ad/transport/EntityProfileTests.java
+++ b/src/test/java/org/opensearch/ad/transport/EntityProfileTests.java
@@ -38,6 +38,7 @@
 import org.opensearch.ad.cluster.HashRing;
 import org.opensearch.ad.common.exception.AnomalyDetectionException;
 import org.opensearch.ad.common.exception.JsonPathNotFoundException;
+import org.opensearch.ad.constant.CommonErrorMessages;
 import org.opensearch.ad.constant.CommonName;
 import org.opensearch.ad.model.Entity;
 import org.opensearch.ad.model.EntityProfileName;
@@ -372,4 +373,11 @@ public void testResponseHashCodeEquals() {
         set.add(response);
         assertTrue(set.contains(response));
     }
+
+    public void testEntityProfileName() {
+        assertEquals("state", EntityProfileName.getName(CommonName.STATE).getName());
+        assertEquals("models", EntityProfileName.getName(CommonName.MODELS).getName());
+        IllegalArgumentException exception = expectThrows(IllegalArgumentException.class, () -> EntityProfileName.getName("abc"));
+        assertEquals(exception.getMessage(), CommonErrorMessages.UNSUPPORTED_PROFILE_TYPE);
+    }
 }