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Jun 21, 2024
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SMS 416 Question 1
Assume that, for the same price
The power of the CPU will double every 18 months,
The power of disk will double every 12 months,
The power of the network connectivity will double every 9 months and
The power of the software will double every 6 months
Also assume that the computer power increase is measured by the product of the increase of these four factors. Calculate the growth of the computing power after 6 years.
Step 1: Converting months to years
CPU – Doubles every 18 months or every 1.5 years
Disk – Doubles every 12 months or every 1 years
Network Connectivity – Doubles every 9 months or every 0.75 years
Software – Doubles every 6 months or every 0.5 years
Step 2: Annual Growth Rate
CPU – 2^(1/1.5) = 1.587
Disk – 2^(1/1) = 2
Network Connectivity – 2^(1/0.75) = 2.520
Software – 2^(1/0.5) = 4
Step 3: Calculating the growth in 6 years (1 dollar initial value)
CPU – (1.587^6)*1 = 16
Disk – (2^6)*1= 64
Network Connectivity – (2.52^6)*1 = 256
Software – (4^6)*1 = 4096
Step 4: Combined Growth
16*64*256*4096 = 1,073,741,824
Question 2 Identify which type of data analytics each of the following applications belongs to. The four types of analytics are:
1.
Diagnostic analytics
2.
Descriptive Analytics
3.
Predictive Analytics
4.
Prescriptive Analytics
Application
Sales Forecasting – Predictive Analytics
Analyzing the reasons why the wars in the Middle East and Ukraine are happening concurrently – Diagnostic Analytics
Website traffic analysis and heat maps – Descriptive Analytics
Analyzing the actions to be taken to stop bad behavior of employees in a company – Prescriptive Analytics
Question 3
In the above diagram of a simple feed-forward neural network, assume that every node is implemented using a simple “perceptron” without any looping mechanisms (like the one we discussed in the class).
If the training of this network is to be done by solving a non-linear multi-
variate regression model with five inputs and four outputs, how many variables would need to be determined in the model to solve the regression problem (train the neural network)? Please show your calculations. 5*7 + 7*7 + 7*4 = 112
7+7+4 = 21
112+21 = 133
Question 4 Netflix – one sided network effects
, as more users joined the platform, the
company could buy more content
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