diff --git a/mllib/src/main/scala/org/apache/spark/mllib/optimization/Gradient.scala b/mllib/src/main/scala/org/apache/spark/mllib/optimization/Gradient.scala
index 45dbf6044fcc5..5a419d1640292 100644
--- a/mllib/src/main/scala/org/apache/spark/mllib/optimization/Gradient.scala
+++ b/mllib/src/main/scala/org/apache/spark/mllib/optimization/Gradient.scala
@@ -94,16 +94,16 @@ class LogisticGradient extends Gradient {
  * :: DeveloperApi ::
  * Compute gradient and loss for a Least-squared loss function, as used in linear regression.
  * This is correct for the averaged least squares loss function (mean squared error)
- *              L = 1/n ||A weights-y||^2
+ *              L = 1/2n ||A weights-y||^2
  * See also the documentation for the precise formulation.
  */
 @DeveloperApi
 class LeastSquaresGradient extends Gradient {
   override def compute(data: Vector, label: Double, weights: Vector): (Vector, Double) = {
     val diff = dot(data, weights) - label
-    val loss = diff * diff
+    val loss = diff * diff / 2.0
     val gradient = data.copy
-    scal(2.0 * diff, gradient)
+    scal(diff, gradient)
     (gradient, loss)
   }
 
@@ -113,8 +113,8 @@ class LeastSquaresGradient extends Gradient {
       weights: Vector,
       cumGradient: Vector): Double = {
     val diff = dot(data, weights) - label
-    axpy(2.0 * diff, data, cumGradient)
-    diff * diff
+    axpy(diff, data, cumGradient)
+    diff * diff / 2.0
   }
 }
 
diff --git a/mllib/src/test/scala/org/apache/spark/mllib/regression/StreamingLinearRegressionSuite.scala b/mllib/src/test/scala/org/apache/spark/mllib/regression/StreamingLinearRegressionSuite.scala
index 03b71301e9ab1..70b43ddb7daf5 100644
--- a/mllib/src/test/scala/org/apache/spark/mllib/regression/StreamingLinearRegressionSuite.scala
+++ b/mllib/src/test/scala/org/apache/spark/mllib/regression/StreamingLinearRegressionSuite.scala
@@ -52,7 +52,7 @@ class StreamingLinearRegressionSuite extends FunSuite with TestSuiteBase {
     // create model
     val model = new StreamingLinearRegressionWithSGD()
       .setInitialWeights(Vectors.dense(0.0, 0.0))
-      .setStepSize(0.1)
+      .setStepSize(0.2)
       .setNumIterations(25)
 
     // generate sequence of simulated data
@@ -84,7 +84,7 @@ class StreamingLinearRegressionSuite extends FunSuite with TestSuiteBase {
     // create model
     val model = new StreamingLinearRegressionWithSGD()
       .setInitialWeights(Vectors.dense(0.0))
-      .setStepSize(0.1)
+      .setStepSize(0.2)
       .setNumIterations(25)
 
     // generate sequence of simulated data
@@ -118,7 +118,7 @@ class StreamingLinearRegressionSuite extends FunSuite with TestSuiteBase {
     // create model initialized with true weights
     val model = new StreamingLinearRegressionWithSGD()
       .setInitialWeights(Vectors.dense(10.0, 10.0))
-      .setStepSize(0.1)
+      .setStepSize(0.2)
       .setNumIterations(25)
 
     // generate sequence of simulated data for testing