User manual TEXAS INSTRUMENTS TI-83

[. . . ] This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, you can try to correct the interference by one or more of the following measures: Reorient or relocate the receiving antenna. Connect the equipment into an outlet on a circuit different from that to which the receiver is connected. [. . . ] The value for iterations can be an integer , 1 and 16; if not specified, the default is 3. Typically, larger values for iterations result in longer execution times and better accuracy for SinReg, and vice versa. A period guess is optional. If you do not specify period, the difference between time values in Xlistname must be equal and the time values must be ordered in ascending sequential Chapter 12: Statistics 311 order. If you specify period, the algorithm may find a solution more quickly, or it may find a solution when it would not have found one if you had omitted a value for period. If you specify period, the differences between time values in Xlistname can be unequal. Note: The output of SinReg is always in radians, regardless of the Radian/Degree mode setting. SinReg Example: Daylight Hours in Alaska for One Year Compute the regression model for the number of hours of daylight in Alaska during one year. 1 period Chapter 12: Statistics 312 With noisy data, you will achieve better convergence results when you specify an accurate estimate for period. Plot the data and trace to determine the x-distance between the beginning and end of one complete period, or cycle. The illustration above and to the right graphically depicts a complete period, or cycle. Plot the data and trace to determine the x-distance between the beginning and end of N complete periods, or cycles. Then divide the total distance by N. After your first attempt to use SinReg and the default value for iterations to fit the data, you may find the fit to be approximately correct, but not optimal. For an optimal fit, execute SinReg 16, Xlistname, Ylistname, 2p/b where b is the value obtained from the previous SinReg execution. You may want to use SortA( or SortD( to sort the lists before you plot them. Chapter 12: Statistics 319 Histogram Histogram () plots one-variable data. The Xscl window variable value determines the width of each bar, beginning at Xmin. ZoomStat adjusts Xmin, Xmax, Ymin, and Ymax to include all values, and also adjusts Xscl. A value that occurs on the edge of a bar is counted in the bar to the right. ModBoxplot ModBoxplot () (modified box plot) plots one-variable data, like the regular box plot, except points that are 1. 5 . . . (The Interquartile Range is defined as the difference between the third quartile Q3 and the first quartile Q1. ) These points are plotted individually beyond the whisker, using the Mark (> or + or ) you select. The prompt for outlier points is x=, except when the outlier is the maximum point (maxX) or the minimum point (minX). When no outliers exist, minX and maxX are the prompts for the end of each whisker. Box plots are plotted with respect to Xmin and Xmax, but ignore Ymin and Ymax. When two box plots are plotted, the first one plots at the top of the screen and the second plots Chapter 12: Statistics 320 in the middle. When three are plotted, the first one plots at the top, the second in the middle, and the third at the bottom. Boxplot Boxplot ()(regular box plot) plots one-variable data. The whiskers on the plot extend from the minimum data point in the set (minX) to the first quartile (Q1) and from the third quartile (Q3) to the maximum point (maxX). [. . . ] 79, 596 4Rect (to rectangular conversion) 78, 601 Equ4String( (equation-to-string conversion) . 309, 572 cumSum( (cumulative sum) 242, 263, 572 cumulative sum (cumSum( ) . 573, 640 dbd( (days between dates) 403, 573, 640 decimal mode (float or fixed) . 189 lines (Horizontal, Line(, Vertical) 191 points (Pt-Change, Pt-Off, Pt-On) 201 tangents (Tangent) . [. . . ]