## Description

1 Python data structures and other essentials

1.1 Tuples

1. Create the tuple named apps tuple with the string elements ”Google”, ”Facebook”,

”Amazon”, ”Netflix”, ”AirBnB”, ”Instagram”.

2. Extract the second element by using its index and the last element by using its negative index.

3. Slice the elements from ”Facebook” to ”Netflix” inclusive on both ends.

4. Try appending the element ”Messenger” to the tuple. What do you observe? Why?

1.2 Lists

1. Define the list apps list with the same elements as the tuple above.

2. Slice the first three elements of the list with the shorthand syntax, i.e. not by typing

explicitly all the indexes 0, 1, and 2; use the symbol : instead.

3. Slice all the elements after index 3 inclusively with the shorthand syntax.

4. Append the element ’Messenger’ to the end of the list and insert the element ’Youtube’

at index 1.

5. Remove element ’Facebook’ and confirm with the function in whether ’Facebook’ has

been removed from the list.

6. Concatenate the last list with the list [’Linkedin’, ’Twitter’].

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1.3 Dicts

1. Create the dict named apps dict with the same values as in 1.1.1. and keys: app0,

app1, etc.

2. Access the element with key app1; then replace its value with ’Youtube’.

3. Add a new key-value pair: app6-Messenger.

4. What does the syntax: apps dict[”app1”]=”Messenger” do?

5. What does the syntax: apps dict[”App1”]=”Facebook” do? Why?

6. What does the syntax: del apps dict[”App1”] do?

1.4 List comprehension

1. Create the list named values with integers: 7, 12, 9, 18, 15.

2. Create a list comprehension that takes the object values and returns the square of

every value.

1.5 Functions and control flow

1. Generate a sample of 10 random integer numbers between 600 and 900 (hint: use

Numpy’s random integers function).

2. Create a function called credit score that reads the sample and returns the output

’Low’ when the input is [600, 699], ’Medium’ when in [700, 799] and ’High’ when in

[800, 900].

2 Linear algebra in Numpy

2.1 Matrix calculations

1. Create matrices A and B as numpy arrays and calculate 2A, -3B and A+B

A =

2 1

1 1

2 3

B =

−4 1

3 −1

−2 1

2

2. Create matrices A and B as numpy arrays and calculate A*B and the inverse of B

A =

2 −6

−4 0

1 5

B =

1 1

2 3

3. Replace the values of the elements with abs(value)≥3 with the value 3. Also, calculate

the determinant of the original matrix A

A =

1 0 4 1

−2 1 −3 2

0 0 0 2

3 2 1 −1

2.2 Norms and eigenvalues

1. Calculate the maximum and Euclidean or Frobenius norm of each of the three

vectors:

x1 =

1 −2 3T

x2 =

2 0 −1 2T

x3 =

0 1 −4 2 −1

T

2. Calculate the l2 and l∞ norms of the matrices:

A1 =

1 −2

4 3

A2 =

1 0 2

0 1 −1

−1 1 1

3. Calculate the eigenvalues of the matrix:

A =

−2 −2 3

−10 −1 6

10 −2 −9

3 Pandas manipulations

1. Import file Gas prices.xls as a pandas DataFrame. Create a function that replaces

NaN with the interpolation between the adjacent values (i.e. the prior and the subsequent to the NaN). Do not use existing interpolation functions, built your own.

2. Find the index, the date and the value of the min and max gas price.

3. Calculate the following descriptive statistics: mean, median, quantile, skewness and

kurtosis.

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4. Create two new columns with the Month and Year. Pivot the table by Month(index)

and Year(columns). Calculate and plot the monthly average gas price. This should

give you one line per year.

5. Create a new column with the season of the year, set it as a secondary index and

calculate the average of every season (regardless of the year) to create the following

table:

Season Average price ($)

Fall W

Winter X

Spring Y

Summer Z

4 Pivot, aggregate and plot timeseries

1. Import file TREB data.xls as a pandas DataFrame. Create the necessary columns

to pivot and generate the table below with the value of Sales (hint: use the split()

function to split the MonthYear column to Month and Year).

2. In one figure, plot 5 lines (one line per year) with the monthly sales versus the month

of the year.

3. Calculate the total Sales per year and create a bar chart. Do this in two different ways:

a) group by year the table pre-pivoting, b) summing up the five columns post-pivoting

Sales Year

Month 2013 2014 2015 2016 2017

January

.

.

.

December

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