Investigating the Relationship Between Foot Size and Height
I predict that the taller the pupil is, the bigger their foot size
will be.
Plan
====
I’ve been given 60 pieces of data from pupils, about their height and
foot size.
I will be using a piece of software called Fathom where I will place
this information into a scatter graph, to see whether or not my
hypothesis is correct. Fathom will produce a line of best fit on my
graph and tell me what my r-value is. The r-value shows the product
moment correlation coefficient. I am expecting a positive correlation.
To prove that my hypothesis is correct, I am looking for a product
moment correlation coefficient from something between 0 to 1 and the
closer the line of best fit is to 1; the more evidence there is to
back up my hypothesis.
The product moment correlation coefficient is a measurement of the
degree of scatter. It is usually denoted by “r” sometimes referred to
as the “r-value” and “r” can be any value between -1 and +1. It can be
used to tell us how strong the correlation between two variables is. A
positive value indicates a positive correlation and the higher the
value, the stronger the correlation. Similarly, a negative value
indicates a negative correlation and the lower the value the stronger
the correlation. If there is a perfect positive correlation (in other
words the points all lie on a straight line that goes up from left to
right), then r = 1. If there is a perfect negative correlation, then r
= -1. If there is no correlation, then r = 0.
A scatter graph to show the relationship between the height and foot
size of all 60 pupils
[IMAGE]
As I had expected, there is a strong positive correlation on my
scatter graph indicating that the taller someone is, the bigger their
feet size. When you take the square root of 0.69 (to find the r-value)
it results to 0.
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Text Box: Table 2. Humerus length and height of female student in the classText Box: Table 1. Humerus length and height of male student in the class
I do not predict that all of my results will follow a line of best fit
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