Big Data Analytics

1 Description
The dataset for this assignment contains the prices and other attributes
of 50,000 diamonds. Your task is to perform an Exploratory Data Analysis
on the dataset. Submit an R Markdown report summarising your fndings
together with the source code. Check Moodle for deadline. This assignment
is part of the continuous assessment and worth 30% of the module grade.
2 Dataset
First download the dataset from Moodle. As the dataset contains 50K records,
generating the plots may take a few moments. One way is to start with
a small sample and carry out analysis, for example, you can pick 10,000
observations (without replacement) using the function: sample. Run the
following code to do so:
s <- sample(nrow(diamonds.dataset), size=10000, replace = FALSE, prob = NULL)
diamonds.subset <- diamonds.dataset[s, ]
The above piece of code creates a new dataset named: diamonds.subset
containing 10,000 observations from diamond dataset. You can use the
sampled dataset (diamonds.subset) frst to write and test your code. And
then use the full dataset for completing the task given below. REMEMBER!
You must report your fndings on the full dataset. In your fnal report, there
is no need to include your fndings on the sampled dataset. When you load
the dataset, you will fnd the following variables in the dataset:
carat: weight of diamond (0.2 to 5.01)
cut: quality of the Cut (Fair, Good, Very Good, Premium)
color: diamond color from D (Best) to J (Worst)
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clarity: a measurement of how clear the diamond is from
I1 (Worst), SI2, SI1, VS2, VS1, VVS2, VVS1, IF (Best)
table: width of top of the diamond
x: length in mm
y: width in mm
z: depth in mm
depth: total depth percentage = 2*z/(x+y)
price: price in US dollars
3 Task
Your task is to perform EDA and calculate the strength of relationships
between the variables of the dataset. Consider below as a guideline:
1. Your frst task is to clean the dataset and prepare it for analysis by e.g.
removing/replacing NAs, outliers, and incorrect values. (20 points)
2. Begin your analysis with a summary of the variables (use basic statistical methods). Briefy describe your understanding. Prepare 4 plots:
pie chart, bar chart, histogram, scatter plot. Each plot should display
diferent variables (do not use price variable now). Each plot must
have a title and meaningful labels. (20 points)
3. Focus your analysis on the price variable: (20 points)
(a) Show the histogram of the price variable. Describe it briefy. Include summary statistics like mean, median, and variance.
(b) Group diamonds by some price ranges (like low, medium, high,
etc.) and summarise those groups separately.
(c) Explore prices for diferent cut types. You might want to use the
boxplot.
(d) How diferent attributes are correlated with the price? Which 3
variables are correlated the most with price?
4. Now focus your analysis on the carat, depth, table and dimensions
(x, y , z) variables: (20 points)
(a) Compute a volume variable from x, y, z – add it to the dataset.
Plot it against the price. Describe your fndings.
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(b) Are the carat and volume attributes correlated? Is that a strong
relationship? Draw a plot with regression line.
(c) Explore the relationships between table and depth variables.
(d) Now explore relationships between table and rest of other variables. Compute correlations and describe your fndings.
5. In your Markdown document, you should use proper headings and
commentary for each task. You can get up to 20 points for style,
clarity and quality of the report and the source code.
Keep in mind the following…
• Acceptable fle format: Knit your Markdown document in pdf output.
Use the submission link on Moodle to upload your fnal pdf report. In
your pdf, you must echo the fnal version of your code for each task
and its output. And add some commentary on your fndings. Do not
include any random R code blocks that you may write for test/rough
work!
• There will be a late submission penalty as per the College policy. I will
be very strict on plagiarism. You may want to read Grifth’s plagiarism
policy. I will be awarding ZERO to both the Copyier and Copyee

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