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.
Upon completion of this task, the students will have photographs of different types of lines, the same lines reproduced on graph paper, the slope of the line, and the equation of the line. They will have at least one page of graphing paper for each line so they can make copies for their entire group and bind them together to use as a resource later in the unit.
I do not predict that all of my results will follow a line of best fit
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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
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...size, or how the selection took place. This is an assertion that uses detached statistics.