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November 12, 2014, Las Vegas NV 
Sumit Amar, Electronic Arts
varclient = newAmazon.CloudWatch.AmazonCloudWatchClient(); varresponse = client.GetMetricStatistics( newGetMetricStatisticsRequest{ Dimensions = newList<Dimension> { newDimension{ Name = "InstanceId", Value = instanceId} }, StartTime= startDate, //2014-11-05EndTime= endDate.Date.AddDays(1).Date.AddMilliseconds(-1), //2014-11-06, Namespace = "AWS/EC2", Statistics = newList<string>{ "Average", "Maximum", "Minimum","Sum","SampleCount"}, MetricName= metricName, //CPUUtilization, DiskReadBytes, NetworkIn, more etc.. Period = interval, //seconds –pass 60 * 60 for an hourly range}); //### CloudWatchGetMetricsStatisticsreturns unordered data points, ergo.. response.Datapoints.Sort((a,b) => a.Timestamp.CompareTo(b.Timestamp));
Y = a + b X 
Time Actual(Y) Deviation X(from mid) XY X2 Yd 
8am 83 -3 -249 9 72.22 
9am 60 -2 -120 4 61.29 
10am 54 -1 -54 1 50.36 
11am 21 0 0 0 39.43 
12p 22 1 22 1 28.50 
1p 13 2 26 4 17.57 
2p 23 3 69 9 6.64 
N=7 Σ푌 = 276 ΣX=0 ΣXY=-306 ΣX2=28 
Here: Y = a + b X 
a = Σ푌/푁 = 276/7 = 39.43 
b = 
Σ푋푌 
Σ푋2 
= -306/28 = -10.93 
Y = 39.43 – 10.93 X 
For X = -3 (8am): Y8am = 39.43 – (10.93 * -3) = 72.22 and so on for other times. 
ΣY = Na + b ΣX 
ΣXY = a ΣX + b ΣX2
ΣY = Na + b ΣX + c ΣX2 
ΣXY = a ΣX + b ΣX2 + c ΣX3 
ΣX2Y = a ΣX2 + b ΣX3 + c ΣX4 
Yd = a + b X + c X2 
ΣY = Na + c ΣX2 
ΣXY = b ΣX2 
ΣX2Y = a ΣX2 + c ΣX4
EWMA Article EWMA on Wikipediak-NN lecturek-NN on WikipediaMSESSE Machine Learning Coursesa722@nova.edu
http://bit.ly/awsevals

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(PFC307) Auto Scaling: A Machine Learning Approach | AWS re:Invent 2014

  • 1. November 12, 2014, Las Vegas NV Sumit Amar, Electronic Arts
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  • 6. varclient = newAmazon.CloudWatch.AmazonCloudWatchClient(); varresponse = client.GetMetricStatistics( newGetMetricStatisticsRequest{ Dimensions = newList<Dimension> { newDimension{ Name = "InstanceId", Value = instanceId} }, StartTime= startDate, //2014-11-05EndTime= endDate.Date.AddDays(1).Date.AddMilliseconds(-1), //2014-11-06, Namespace = "AWS/EC2", Statistics = newList<string>{ "Average", "Maximum", "Minimum","Sum","SampleCount"}, MetricName= metricName, //CPUUtilization, DiskReadBytes, NetworkIn, more etc.. Period = interval, //seconds –pass 60 * 60 for an hourly range}); //### CloudWatchGetMetricsStatisticsreturns unordered data points, ergo.. response.Datapoints.Sort((a,b) => a.Timestamp.CompareTo(b.Timestamp));
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  • 13. Y = a + b X Time Actual(Y) Deviation X(from mid) XY X2 Yd 8am 83 -3 -249 9 72.22 9am 60 -2 -120 4 61.29 10am 54 -1 -54 1 50.36 11am 21 0 0 0 39.43 12p 22 1 22 1 28.50 1p 13 2 26 4 17.57 2p 23 3 69 9 6.64 N=7 Σ푌 = 276 ΣX=0 ΣXY=-306 ΣX2=28 Here: Y = a + b X a = Σ푌/푁 = 276/7 = 39.43 b = Σ푋푌 Σ푋2 = -306/28 = -10.93 Y = 39.43 – 10.93 X For X = -3 (8am): Y8am = 39.43 – (10.93 * -3) = 72.22 and so on for other times. ΣY = Na + b ΣX ΣXY = a ΣX + b ΣX2
  • 14. ΣY = Na + b ΣX + c ΣX2 ΣXY = a ΣX + b ΣX2 + c ΣX3 ΣX2Y = a ΣX2 + b ΣX3 + c ΣX4 Yd = a + b X + c X2 ΣY = Na + c ΣX2 ΣXY = b ΣX2 ΣX2Y = a ΣX2 + c ΣX4
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  • 26. EWMA Article EWMA on Wikipediak-NN lecturek-NN on WikipediaMSESSE Machine Learning Coursesa722@nova.edu
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