The Topic I chose is Elementary Education. It covers the elementary students in Apache County Arizona who pass the AZ Merit test. This subject is one I want to do because I feel education is important, and it is a study taken from my home state of Arizona. I also think it will be a challenging subject for me as well, since I am not that great at math I am trying to challenge myself to get better in this subject. It also is a subject I have yet to do any research on, or had a chance to consider at any depth. By doing this topic I am hoping to see what the trend should be for the next three physical school years in the chart, as well as hoping to see an up-word trend in the education and students passing their Merit test in the great state of Arizona. I know this project will challenge me and work my math skills well but I am looking forward to the challenge.
In the case of linear prediction for the number of students who are going to pass the exam, the trend-line shows that an increased number of students are going to pass the examination in the next few years, as shown in the figure below:
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The above prediction puts the students who will be passing the AZ exam to be at 60 students by the year 2018. Where prediction is made using the exponential technique, the gradient of the curve is much higher, showing a significant increase in the number of students passing the exam, despite the fluctuating value through the preceding years. This is shown in the figure below:
The exponential prediction for the students who will be passing the exam in the year 2018 is 100 students, much higher than the students predicted in the linear method. While this method provides optimistic figures, the 60 students mark has not been surpassed for any of the data collection points.
Thus, comparing both methods of prediction, the researcher may be more inclined to go with the linear method of prediction based on the practicality of achieving the said prediction. In coming years, it is expected that there should be better performance. Nevertheless, this expectation is made in the confines of continuous incremental changes, rather than sudden and unexplainable changes. Therefore, the linear method of prediction is the preferred option in this case.