December 3, 2018

Three parts

  1. Experiment
    • If possible, we will do an experiment
    • You need your cellphone’s camera
  2. Genomic databases
  3. Planets

Free fall

  • I will drop an object in front of the class
  • The screen will show a timer
  • You must record the experiment with your cellphone
  • In your computer, open a new text file and write the experimental data
    • three columns: seconds, position, and replica
    • one row for each time the object crosses a mark
  • Send your text file to andres.aravena+cmb@istanbul.edu.tr

Example videos

Second part

Genomic databases

Every time a researcher publishes a paper about DNA sequencing, all the sequences are uploaded to several databases.

One of these databases is https://www.ncbi.nlm.nih.gov/sra/

It contains all DNA reads made with New Generation Sequencers

We want to understand how fast this database is growing

Steps

The plot must look like this

Database growth

  • The growth of databases is usually modeled as a semi-log linear model.
  • Build a semi-log model and find
    • what is the factor of growth per day?
    • What will be the database size two years after the last entry in your table?
  • write your code and comments in the same Rmarkdown file

Third part

Planets

The file planets.txt contains the astronomical data for the planets in our solar system. The columns are:

  • Name of the planet,
  • Diameter in km,
  • Distance to the sun in km,
  • AU: distance to the sun in astronomical units, and
  • Period of the orbits in days

We want to find the relationship between Period and Distance

Steps

  • Download the file planets.txt
  • In the same Rmarkdown document as the previous question, create a new section
  • write the code to read the file into your document
  • Draw three plots
    • One using normal scales
    • One using semi-log scales
    • One using log-log scales

Steps

  • Based on the 3 plots, decide which is the best approach to use a linear model. Explain why you made that decision.
  • Build the model and show the coefficients
  • Compare your result with Kepler’s third law

Bonus

  • Looking at the log-log plot, do you think that there is something missing?
  • Find the Distance and Period for the “missing planet” between Mars and Jupiter

Delivery

You should send two files to andres.aravena+cmb@istanbul.edu.tr

  • The text file with the first part
  • The Rmarkdown file with the second and third part

You can send the files in a single email or in two separated ones

Put your student number in the subject

Enjoy!