Vaccination Investigation

 When conducting experiments, there are various ways in which you can record and present data, depending on the audience and the overall message behind the experiment itself. When presenting data, the standard that many choose to follow is to publish relevant data on a graph. Usually, graphs are used to display relationships between variables. 

Graphs can be displayed in many ways, but they generally take the form of a linear model, a proportional model, and/or an inverse proportional model. A linear model is displayed on a scatter plot and the line of best fit for all of the data points is generated to create a straight line that displays the average line according to the data. This line, as was aforementioned, is the average of the values and can also produce the next prospective point on the graph according to the trend it is averaging out. 

A proportional model also creates a line that has proportional variables. That is, if the independent variable is doubles, so does the dependent variable. It takes the general form y=Ax, where A is the proportionality constant and the model does not have a y-intercept- it starts from (0,0).

An inverse proportional model does create a line to better fit a graph and be as close to the actual plotted data as possible. What sets this apart and makes it different from a linear model is that a linear model has a y-intercept and can be displayed as y=mx+b as its general form whereas an inverse proportional model is demonstrated as y=A/x. This can better predict the next point and leaves the least amount of room for error. So, if a variable is doubled, the other variable is halved. 


In the figure above, we are looking at two graphs. One of which is a model of our raw data when displaying the relationship of pressure vs volume. The graph below it is an adjusted graph where we taking into consideration an extra space in the syringe and we need our data to reflect that to be as accurate as possible. We can see an inversely proportional relationship in the line that is exponential (tending in a negative slope/direction). As the volume increases, pressure decreases, likewise, as pressure increases, volume decreases. However, we see that as the volume goes to zero, the pressure tends to infinity and as volume increases, pressure also tends to an infinite direction. 



In this figure above are our adjusted graphs to display a different type of relationship. This proportional graph is showing a more linear relationship but in reality, the only thing that has changed is the presentation of the data and all relationships remain constant. As depicted in the graph, the lines begin at (0,0) but that would mean that there is zero volume. There is no inverse volume at (0,0).

Comments

Post a Comment

Popular posts from this blog

Reflection 1: Umbrellaology

  Define the word “science.” What is  it?      Science, in the simplest form, means knowledge . Whether it be to obtain information, to discover new information, or even to gain insight on a subject, one adds on to existing knowledge or, simply, becomes more knowledgable.       For example, the word "geology" can be broken down into two parts: "geo" meaning "earth" or "rock"  and "-logy" comes from the Greek "logia" which means "the study of". When one studies, one gains knowledge or reinforces the knowledge that is already there, at least I would hope. ___________________________________________________________ Is Umbrellaology a science? If so, why? If not, how does it fall short of being a science? Technically speaking, it is a science, but to an extent. It is a science because whoever was conducting the investigation learned deeply about umbrellas, the mechanics of it, its uses and applications, etc. However, the...
Read more

Final Reflection

As time goes on, so does life. Everything evolves to be a better form of itself in an attempt to survive. Along with the evolution of time and space, as human beings, we also evolve mentally. We think and speak differently over time. We gain experience and base our answers, thoughts, and practices on what we have learned. Looking back at my first reflective post, on Umbrellaology, my definition of science remains the same:  knowledge . Whether it be to obtain information, to discover new information, or even to gain insight on a subject, one adds on to existing knowledge or, simply, becomes more knowledgable.   However, who can be considered a scientist is still a bit hazy to me.  Throughout the course of STP, we have created experiments, speculated on possible reasons/outcomes of events, we established variables, basically carrying out the whole scientific method. With that being said, anyone...
Read more

Reflection 3: Ziplock Zoomer

Image
      Our most recent investigation was the perfect example of classical mechanics and how it works. We know that the force of an object is equal to mass x acceleration, which in this case the acceleration would be equal to gravity. Knowing this, Newton's second law of motion, we can predict that there will be some sort of linear relationship in everything we interact with on a daily basis, when we measure force of course.      In the aforementioned investigation that was cleverly named "Ziplock Zoomer", we tested the relationship of force and mass using quarters, a ziplock back, paper clip, and IOLab. We recorded our data in logger pro and created two graph based on our information. So how did this all go down? Well, we hooked up our IOLab and prepped it by calibrating it, then we used a paper clip to hang a ziplock back from the IOLab and used the ziplock bag to hold the quarters we were using in this experiment. We recorded our results qua...
Read more