Use the predictions obtained to calculate the percent error for each biorhythm ( Physical, Emotional and Intellectual) using the estimated equations results.Ĥ. In other words, find the value of your equation when x = 22.ģ. Obtained in Part 2 to predict what will be your biorhythms on June 22. Use the Physical, Emotional and Intellectual equations In other words, find the value of your equation when x = 22.Ģ. Use the Physical, Emotional and Intellectual estimated equations obtained in Part 1 to predict what will be your biorhythms on June 22. Part 3: Biorhythm predictions for the day of the final exam and Percent Error.ġ.
Follow the instruction for the sine regression with the TI calculator (attachment below) to obtain regression equations from the data collected on the tables from your personalized biorhythm graphs ( Physical, Emotional and Intellectual). Fill out the tables in the attachment below with the information obtained from the biorhythm graphs using the grid you made.ģ. Your horizontal axis ( x) will be the line on the far left (5/31) and your vertical axis ( y) will be the horizontal line down the middle (0).ĭraw vertical lines through the following days: 6/2, 6/5, 6/8, 6/11, 6/14, 6/17, 6/20, 6/23, 6/26, 6/29.ĭivide the vertical axis in a scale of ten (where 0 is in the middle).Ģ. Part2: Obtaining sine equations using sine regression with the graphing calculator.ġ. The following website has an applet that demonstrates the transformations of the sine wave ans the parameters are changed: sine wave applet. Go to the following websites to review the concepts of period change ( b), amplitude change ( a), phase shift ( c), and vertical shift ( d). Write the equations of the three sine graphs ( Physical, Emotional and Intellectual) in the form y = d + asin. Print your personalized biorhythm graph.Ģ. The sine function that is shown in the graph is ( ) 2sin 3 2 f x x §·S ¨¸ ©¹. The period of this function is 4, therefore 2 42 B SS. When you click on go, your personalized biorhythm graph will be generated and you will see three sine graphs. One complete cycle of this sine function starts at the midline, increases to a maximum, decreases to a minimum passing through the midline and will then increase to end at the midline. Pick XLarge for the size and 44 for the width. Create your personalized biorhy thm graphs by going to the following website: Biorhythms.Įnter your birth date and enter June 22 for the biorhythm date. Part 1: Obtaining sine equations from the period, amplitude, phase shift and vertical shift of a graph.ġ.
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