Introduction

This is our project question:



'Do you agree with Leonardo’s work on how the size of one body part is
related to that of another body part for the purpose of instructing painters on
how to paint the human body? For example: is the length of the arm related to
the circumference of the neck?'





http://www.feelingeurope.eu/Pages/Humanities.html&usg

This is the drawing of what Leornado had done to show how our body parts related to another body parts.

Thus our group will be showing how we are going to prove some of our body parts relate to one another by posting our findings onto our blog.



Research Topic:
Leornado’s theory.

Research Question:
Is our arm span’s length related to our height?
Is our foot length (X7) related to our height?

Dependent Variable:
· Arm Span
· Foot length

Independent Variable:
- Height

Hypothesis:

Research hypothesis - There is a relationship between the arm span’s length and the height.
- There is a relationship between the foot’s length and the height.
Null hypothesis - There is no relationship between the arm span’s length and the height.
- There is a relationship between the foot’s length and the height.

Conceptualization:

· Arm span is define as the physical measurement of the length from one end of an individual's arms (measured at the fingertips) to the other when raised parallel to the ground at shoulder height at a one-hundred eighty degree angle.
· Foot length is define as the physical measurement of the length from the tip of the toe to the back of the heel.
· Height is define as the physical measurement of the length from the top of the head to the back of the heel.

Operationalization:
Arm span, foot length and the height is measured using the measuring tape.

2 main things

The 2 things that our group have decided to measure will be:

-The length of the arm span related to the height.

-The length of the foot(1/7) related to the height.

The pictures shows which part of our body our group will be taking.

Tools: Measuring tape.

Measurements will be up on next post.



Rationalise why you choose your variables. State the importance of your study.

- We choosen these variables because we want to find out the relation between them and prove it.

- Our group is interested to find out and let others know how the way our body is structured , which will let others know other ways to get their measurements through measuring other body parts.

What is the hypothesis?

- We believe that these 2 main things are related to each other and we will prove it.

Arm span r/t height

'The arm span length related to height.'

How was the data collection done?

-We went around to take measurements of teenagers.

How did you gather the samples? (Eg measure from where to where?)

-For the arm span, we measure one point of the finger to the other.

-For the Height, we measure from the top of the head to the heel of the feet.

What did you use to measure?

-We used the measuring tape to measure the arm span and the height.

'Analysis of data'

Statistical test chosen:

Pearson's R

Scatter plot:

To find out how strong is the relationship between the arm span and the height.

This is the scatter plot for the arm span and the height of respondents.

The table shows Pearson's R is 0.623, P less than 0.05.

The Pearson's R value falls under 0.6-0.8 which is equals to strong relationship.

The P is less than 0.05 thus we reject the null hypothesis.

Therefore, there is a relationship between the arm span and the height.

Foot(1/7) r/t height.

'Foot length and the height.'

How was the data collection done?

- We went to take measurements of teenagers.


How did you gather the samples? (Eg measure from where to where?)





For the foot length we measured from the heel to the toe.






For the height we measured from the top of the head to the heel.


What did you use to measure?

The measuring tape.

'Analysis data'

Statistical test chosen:

Pearson's R

Scatter plot:

To find out the relationship between the foot length and the height.

This is the scatter plot for the foot length and the height of respondents.

The table shows Pearson's R is 0.611, P less than 0.05.

The Pearson's R value falls under 0.6-0.8 which is equals to strong relationship.

The P is less than 0.05 thus we reject the null hypothesis.

Therefore, there is a relationship between the arm span and the height.

Data

We had 33 respondents in all.





Irene, May and Li yao helped to record down the measurements.

Conclusion

Rachel, Jeni, Irene, Li Yao and May.

At the end of our findings, we found out that there is relationship between arm span and height , foot (1/7) and height, thus we reject the null hypothesis.

After analysis, the things that could have influenced the findings are as such:

- Finding participants to get measurements
- The respondents didn't fully extend their arm, which cause the length to be inaccurate.
But overall we learned how to overcome the problems.

The SPSS programme really help us alot. For instance, we key in the data and get it instantly, plotting graphs easily to obtain the results that we wanted. The SPSS programme is very helpful in getting our data done. We are glad that we got the chance to learn this software.

Last but not least, we thank the people who have helped us, like letting us take their measurements and pictures. We would also like to thank the teachers who taught us statistics.

References from website

We had found some websites that supports our findings.

http://www.artistdaily.com/blogs/drawing/archive/2009/02/10/drawing.aspx

This website had shown 21 types of measurements that Leornado had proven, thus we choosen some of it to prove it.

http://partner.galileo.org/tips/davinci/ourwork.html

This website had been done by a group of students which proved 11 types of measurements to prove Leornado's theory.

http://mathforum.org/alejandre/frisbie/math/leonardo.html

This website shows a group of students work on showing how they used the steps to get their results.