Recall that o calculate this we must upload the 11 points observed, this is done by first pressing the “STAT” button followed by “1:Edit”.
#PARAMETRIC EQUATIONS ON GRAPHMATICA PLUS#
Recall that in order to calculate a more accurate function we must use a method that incorporates all the points observed, therefore we will use the cubic regression tool on a Ti-84 Plus Graphical Display Calculator (GDC). Seeing as how the cubic regression gave a more accurate function we shall use this method and disregard the matrices method. Recall that the function for best fit curve for a cubic function could be calculated by matrices or the cubic regression.
The same process used to calculate the lower curve will be used to calculate the upper curve. This implies that on average the generated y value from the cubic function model misses the observed points by 0.0256 units The MAE is calculated by adding the absolute error values together and dividing it by the number of the points chosen: Table 3: Absolute Error values for lower curve using cubic function The lower curve is denoted at f (x) and the upper curve denoted as g (x).read more. The x-axis begins at 0 and goes on till 10 centimetres the same is applicable for the y-axis. These terms will be elaborated on later on this assignment.Ī few data points were taken from the curves, with the base of the square representing the x- axis and each unit being one centimetre, and the y-axis represented as the left side of the square with each unit being a centimetre as well. Some key terms that should be understood are: sin function, cubic function, MAE (Mean Absolute Error). This investigation is aimed at answering several questions but mainly to develop mathematical functions to model the two curves represented by the two curves.
The logo is the shaded region between the two curves. In doing this assignment many pieces of technology were incorporated when doing this assignment, ranging from a pencil and a ruler to calculators and even spreadsheets and other programs.Ī diagram of a 10cm by 10cm square is divided into three regions by two curves. The area between the two curves had to be calculated. Another task was to refine the model function to fit on a t-shirt and a business card. It was observed that the cubic function was superior. The main objective of this IA was to determine which model, cubic or sin, would be the best fit. 11 data points were recorded for each curve. Using an appropriate set of axes data points of the curve were measured using a ruler and then identified and recorded. The task at hand was to develop models of functions to best fit the characteristics/behaviours of the curve of Logan’s logo. This internal assessment focuses on functions and areas under curves.
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