Thursday, January 17, 2019
Intelligence vs. Brain Size
Intelligence vs. understanding coat Project 2 Data Collection College Algebra 161 November 15, 2012 Intelligence vs. thought coat The Data Collection project was designed to t all(prenominal) students how to collect, and organize, appoint and document data utilize go past lists and graphs. I chose this particular display case to research to further my understanding of the evolution of human species. Can news show and brain size be directly related, and as intelligence increases, what happens to the size of our brains? I stocked my research through the internet by searching for previous, credit adequate research by someone trained the in the field of Anthropology. The website that I found to exact to most useful information needed to conduct an extensive research with adequate background history in the pendant was Creation Studies. org. The website contained an article written by the institutes foreland technical advisor, Steven Rowitt, Th. M. , Ph. D. After reviewing the information contained in the article, I was able to organise a venture.My hypothesis is that as humans evolve, and intelligence increases, so does the size of the brain. The tools apply in this project were the website from which I obtained the information and Microsoft excel which I used to document and map the data. Using that data I was able to fashion a graph, and a mathematical mould that could test and nurse my hypothesis. The graph shows you the trend of growth in brain size, per ____(one thousand years.However you limit to chart it)&8212&8212&8212- The mathematical model formulated from the graphed data, will allow rising testing to see if the trend still continues, or if the size of a human brain reaches a maximum or minimum. The goal was to chart previous data collected by experts to support my hypothesis as well as forestall and test the size of human brains in the future if the trend continued and develop a linear equation to represent the findings. I began by collecting 12 points of data of the ordinary size of human brains at a specific time (years) in history.I recorded the average size of the brain in the year that agree it. After collecting the data, I plotted the data in Excel and used a best line fit to give me a linear equation/linear reversion model to represent my data. affect table below We entered the data is as follows The independent variable was the upshot of dick bands which represented the x axis. The dependent variable was how far the bullock block pelt, which represented the y axis. We chose a domain of 0 to 25 because the turn of events of synthetic rubber bands we used ranged from 0 bands to 15 bands.By choosing a domain or an x-axis of this amount, it gives you a graph that allows you to see the line past 15 rubber bands. We went with a range for of 0 to 90 inches because according to our data, the maximum good turn of inches that the chunk dropped was 67 inches so in order to get a better picture of the data we extended the y-axis to 90 inches. The linear regression model that fitted our data was D(r) = 3. 948r + 5. 758, with the y-intercept being (0, 5. 758) and m= 3. 948 inches.Interpretation for the data in the place setting of the study based on our linear regression model, is at zero(a) rubber bands, the addict would fall 5. 758 inches, and with each added rubber band the egg would fall an additional 3. 948 inches. To test this linear regression equation we were accustomed a length of 67 inches. To mathematically work on for 67 inches to predict the number of rubber bands needed, we solved for (r) as follows D(r) = 3. 948r + 5. 758 67(r) = 3. 948r + 5. 758 r = 15. 5 What we cogitate from our mathematical prediction was that it would take 15. rubber bands to have a prosperous fall of 67 inches. Because it was not realistic to use 15. 5 rubber bands, we went with 15 instead. This was a realistic prediction because the length that the egg discharge was 66 inches, without imposing any damage to the egg and leaving us 1 inch from the original test nurse of 67 inches. Had we used 16 rubber bands instead, based on our linear regression model which states that for every rubber band added the egg would fall an additional 3. 948 inches it would have left our fall around 69. 48 inches and as a proceeds leaving us more than 2 inches from the original test value of 67 inches. Reasons for error in the project could be based on several components. The elasticity of the rubber bands varies from band to band which would cause a difference in the length of the fall and a change not resulting in a slope of 3. 948 inches. During the earlier part of the project, for an unknown reason, scarce not as a result of the test, the egg cracked, resulting in a possible change in the distribution of the weight of the egg and modify the resulting length of the fall.And further more if our linear regression equation was tried and true in the future, the results may not be the same if another egg was used due to the mass of every egg varying. In summary, afterwards testing several jumps involving a different number of rubber bands each time and recording the corresponding length of how far the egg fell we had enough data to plot a scatter graph and formulate a linear regression equation that we could test any hypothesis without having to repeat the project itself.Discoveries made during the project was the close comparison in the tested data and the mathematical equation formulated by using excel or a scientific calculator. For an example when we tested 1 rubber band, the egg fell 10. 5 inches. Using the equation to solve for the answer D(r) = 3. 948(r) + 5. 758 D(r) = 3. 948(1) + 5. 758 D(r) = 9. 706 inches The ex periment itself and the equation formulated from it, although not precise, it is an accurate government agency of real outcomes of the amount of stretch in the rubber bands as shown in the comparison model above.
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