Math 110-04
December 12, 2014
Final Paper
Height vs. Shoe Size
I chose two quantitate variables in this study in order to see if they had any linear relationship. The dependent (response) variable was a person’s shoe size in united states meaurements and the independent (explanatory) variable was person’s height in inches. I chose these two variables because I assume before the study that there would be appositive linear relationship between height and shoe size. In other words, the taller the individuals are, the larger their foot size will be. I collected the data from twenty males all from the Montclair State University. The results for this study could be beneficial for homeless shelters and clothe drives; for example men could come in give their height and receive a care package of goods including a pair of shoes that suit their height and size perfectly. Individuals were asked to write down (roughly) their height, along with their shoe size. The reason I say rough is because all information is subject to biased because most heights were rough estimates, along with shoe size, which truly doesn’t measure the size of ones, foot. Because with shoe size you have to consider variables such as the different shapes of the human foot; so in order to make my data as accurate as I could make it I restricted my study to males, because males and females have different shoe scales. For future studies the sources of error mentioned above should be addressed, but when taking all this information into consideration my data still resulted in a positive linear trend. Right off the bat I could see a strong positive linear trend. Proving my hypothesis that an individual a taller individual has a larger shoe size. I came to this conclusion by plugging my data into a scatter plot. Where height in inches was represented on the x-axis, and shoe size was on the y-axis. Chart 1 below displays the height in inches with the corresponding shoe size from each