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日期:2019-06-01 10:29

Data Analysis Assignment - S1 2019

Deadline for submission is: 31st May 2019

This is an individual assessment and your work must be your own

Do we have big brains?

It has been suggested that humans have anomalously large brains for their body size. We’ll

investigate this idea by studying collections of brain and body mass data for samples of prosimians,

monkeys, apes and a single homosapian.

The first column of each data set is the body mass in grammes and the second column is

the brain mass in grammes. The data files for the different animal groups are:

Prosimians: https://tinyurl.com/ybhnk5jc

Monkeys: https://tinyurl.com/y9vqdnt8

Apes: https://tinyurl.com/ybvhdh2g

Homosapian: https://tinyurl.com/ycjymwun

Previous studies have shown that brain mass (mbrain) and body mass (mbody) are related according

to the power law:

mbrain = γ × (mbody)

(1)

where γ and ψ are estimated from the given data. If you are unfamiliar with power laws you

can find out about them here: https://tinyurl.com/yb29c3br

Assessment Outline

Report your work in a Jupyter notebook (make sure your report includes your name and unumber).

In your Jupyter notebook include a detailed markdown-based description of the

different steps you have taken for each task and the methods you have used. This should

include a description of the functions you are using, equations you employ and the terms in

those equations. Even if you use a dedicated python package to solve specific tasks, you must

describe the equations that package is using and the terms involved (points will be deducted if

you don’t explain your approach in detail).

IMPORTANT: Code comments will not count as part of your description.

If a given task involves a calculation to produce a final answer, ensure you provide a clear

written statement of your result with an appropriate number of significant figures and, where

appropriate, correct units.

You can find guides on markdown formatting here:

https://www.markdownguide.org/basic-syntax

https://paperhive.org/help/markdown

1

Assessment Tasks

Complete the following tasks (total of 50 points).

1. Load and combine the prosimian, monkey and ape data sets into a single array (2 pts).

2. Using the combined data, estimate γ (Eqn. 1) and its 95% confidence interval (10 pts).

3. Using the combined data, estimate ψ (Eqn. 1) and its 95% confidence interval (10 pts).

4. Create a plot showing the mbrain (y-axis) and mbody (x-axis) data, with each group (i.e.,

prosimians, monkeys, apes and homosapians) represented by different coloured points

(5 pts).

5. Based on your estimates of γ and ψ, add a best fit line to your plot and include 95%

confidence and prediction intervals for the full range of mbody values (10 pts).

6. Predict with 95% uncertainties the average brain mass corresponding to a body mass of

50 kg (5 pts).

7. Using your determined regression relationship, estimate if the brain size of the 1 homosapian

included in the data set is anomalously large given their body size (5 pts).

8. Discuss if there any potential issues with the data sample that could affect your analysis

(3 pts).

Assessment Submission

Submit your Jupyter notebook file via the class Wattle page with a filename which is “your

u-number.ipynb”.

2


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