relationship between length of left forearm and left foot

Wednesday, January 13, 2010

Reflection

After having done this assignment, our group would like to share our experiences with you. So firstly; data collection. We experienced some challenges while collecting data. A few of the respondents did not want to participate in our study as they found it troublesome to remove their shoes and some were also too embarrassed. Next was data entry. We were able to enter the data into SPSS without any problem. However, we were unsure on how to go about with the next step; that is creating a blog. With much help from friends and the internet, we managed to create a blog and start with the assignment. We then distributed the workload according to the guidelines given and did not have much difficulty compiling our work and posting it up on the blog. Overall, we had fun doing this assignment and this was an unforgettable experience as we really worked on team building, our own responsibilities and cooperation between ourselves.

Conclusion

Did it support or reject your hypothesis?

To reject the null hypothesis - there is no relationship between the length of left forearm and length of left foot.

To accept the alternative hypotheses - there is a relationship between the length of left forearm and length of left foot.



Based on Pearson's R .877 we can conclude that there is a very strong positive relationship between the length of left forearm and length of left foot.

Sunday, January 10, 2010

Statistical analysis

This is our correlation value.

Our variables are:
1) Length of left forearm-independent variable (scale data)
2) Length of left foot-dependent variable (scale data)



We will be using Pearson's R to compute the correlation coefficient, with the following assumption net.

Assumption 1: All observations must be independent of each other.

Assumption 2: The dependent variable should be normally distributed at each value of the indepedent variable.

Assumption 3: The dependent variable should have the same variability at each value of the independent variable.

Assumption 4: The relationship between the dependent and independent variables should be linear.

The diagram below is a scatter plot to check for linearity and homogenous variance in assumption 3 and 4.



The table below shows Pearson's correlation coefficient of 0.877 which indicates a very strong relationship between the length of arm and foot.

Data of the length of left forearm and left foot










































Methodology

How was the data collection done?
To collect the data, we gathered 30 people including our classmates and lecture mates as our subjects. During each interval of our lectures, we would go around the lecture hall and measure the length of their left forearm and left foot.

How did we gather the samples? (E.g. measure from where to where?)
We measured from the middle of the wrist to the middle of the arm. As for the feet, some people may be very sensitive when we place the measuring tape on the soul of their foot, therefore we decided to measure the foot via the floor. So we placed the measuring tape by the side of their foot, measuring from the big toe to the heel.









What did we use to measure?
The instrument that we use was a measuring tape. In the begining, we experimented using a ruler and the measuring tape. However, after testing on ourselves, we decide a measuring tape would be a better choice. As due to the different circumfrence along our arm, measuring with a stiff ruler may not provide us with a very accurate result. So we standardise all to use a measuring tape to take our measurements.

How often- once or average of three?
Measured once.

Any rejection?
We faced less than a hand full of rejections. Reason being, they are too embarassed to show their feet for us to do a measurement or they were wearing shoes and did not want to remove them. Other than that, all our friends we asked from were more than happy to help.

Supporting documents


Classical artists used the same principal to develop the perfect figure, and ratio is what Leonardo made use of also. By this, we mean that we have to find a way of measuring the figure by making use of relationships within the figure.
These measures are then related to other parts of the figure. Notice how Leonardo conveniently shows us the man's left foot in profile. He even places the heel in front of the big toe of the right foot so that we can see the full length. The length of the foot is the same as the length of the forearm - demonstrating a golden relationship between the hand and the foot.
The golden relationship is the key to the proportions of the entire figure. Leonardo consciously used the Golden Ratio to proportion his figure and made the Golden Ratio of his figure the sacred center of the symbol. Showing that this ratio was the key to leading us to a realization of our spiritual identity.

Thursday, January 7, 2010

About us

We are subgroup 1 from NR0803. Basically, we have 6 members in our subgroup.
From the left: Gong Dan Dan, Shaakirah, Sandra Soh, Jeanne Foo, Farhati, Wan Zahfirah