Be aware that, when fitting a linear regression model to a set of data, the residuals are automatically stored in a list called RESID. Remember to investigate a residual plot to confirm whether your proposed regression models the data well.
Refer to the video below for steps for doing this on your calculator. The computation of probabilities for random variables that are normally distributed is a core concept in the course. You can expect a question involving a normal probability computation on the AP Statistics exam. The normalcdf command takes inputs of the mean, standard deviation, and an lower and upper boundary.
This is helpful because it means you do not need to standardize turn to z-scores the values before using the command. To find the probability that X takes a value between 65 and 86 if X is normally distributed with mean 70 and standard deviation 15, follow the steps in the video below.
You know the verbal cues to recognize when a question is about a binomial context, but which probability menu item do you use for a given situation? If the question is asking for the probability of a single outcome i. If the question is asking about the probability of more than 5 heads in 10 coin flips, then you need binomcdf.
Keep in mind that binomcdf is cumulative from 0 to k successes, so pay close attention to whether to subtract the endpoint, or not, when using the compliment rule. Always remember that for the free-response section you must show the correct work and justification for the computation.
This video shows an example of this kind of computation. Partially in French. Count 5 Method This program performs the count 5 method for two lists to compare the population variances. It is an alternative to the F test. The user inputs the two lists and the signficance level A-level in the program. The program outputs the test statistic, the critival value and the decision to make. Great for statistics. Covariance Matrix This program will compute population and sample covariance matrices as well as sample correlation matrix.
Great for Statistics students. Covariance This program computes sample and population covariances. Cramer's V This program computes Cramer's V test statistic to determine the degree of association between variables after running a chi-square test of independence. The user must enter the information of the observed values in matrix A and also must run the chi-square test on the calculator to have the values stored properly.
Cramer von Mises Test 1 This program will perform a 1-sample Cramer von Mises goodness of fit test comparing a data set to either normal, Student t, chi-square, F or uniform. Critical Points Cells This program will compute the probability for a number of balls to occupy a specified number of cells, or given a probability, it will determine the minimum number of balls needed to occupy cells.
Critical Values for r This program will compute critical values for r when conducting tests on correlations. Critical Values Spearman This file contains two programs, one for finding critical values on a TI for Spearman's rank correlation coefficients and one for the TI The TI program uses the invT command. Complete A. It takes the majority of the functions and formulas that are required for the A. Test, performs them, and shows all of the work.
No other program in existence is this useful! I have used it throughout the school year and I have aced every test without any thought. It could be a little more user friendly and now warns you when a list needs to be used, but it is a great program that you will all love. Cumulative Frequency Polygon Calculates and plots the cumulative frequencies of a data list. Curve Fitting Calculates the polynomial of least degree that passes exactly through any number of data points Lagrange interpolation.
Coefficients are stored in list and matrix form for your mathematical convenience and pleasure. CVe This Program replaces the need for the z-table and t-table. It finds the critical value CV for a given 1. It also shows the graph of the area.
Critical Values for Multiple R This program will compute the critical values for a multiple regression coefficient. Damped Harmonic Motion Regression This program will compute a least-squares regression for a data set resembling damped harmonic motion. Degrees of Freedom This program computes the degrees of freedom for a 2-Sample T-Test by using a conservative measurement as well as the formula.
It will also round the result of the formula accordingly. DESCRIPTe The Program describes a list of measurements giving the count, the sum, mean, median, standard deviation, variance, range, mode, the box plot and the z-score of each measurement.
What's special about it is that it uses a multiply with carry generator, instead of the built in random generator, and this mwc-generator has much better properties for generating random numbers.
Dice2 Rolls two virtual dice and gives you a nice little histogram of the data. AAA dice this is a good math program that lets you roll dice. It is better than most because you can choose the amount of dice, the amount of times thrown, and the number of sides on the dice.
Dice Programs This is a collection of programs that either roll dice or use data from rolling dice. This will work good for interpreting statistical data for dice. Difference Kruskal Wallis This program will compare two average rank values and conduct a chi-square test to determine if the difference between these two are significant. Great for business statistic students studying nonparametric methods. Discrete Covariance This program computes covariance via expectation formulas.
Discrete Random Number Generator There are two programs in this zip file, one for the 84 it uses the randIntNoRep command and one for the 83 which does not use it, but a programmable substitute from TI-Developer.
Either of these programs will compute a listing of random numbers from a user provided probability model. See the accompanying documentation for a full description of the program. Discrete RV Measures This program produces the mean, variance and standard deviation for a discrete random variable. Great for beginners in statistics as well as programming.
The user only inputs two lists: the values the random variable takes on and the probability of taking on these values. The program computes the rest.
Discrete Uniform Distribution This program gives information about the discrete uniform distrubtion. It will generate plots, measures and values on the pdf and cdf curves. Discrete Variance This program computes variance for discrete RV using the expectation formula. Empirical Rule Then it finds the percentages, which you can compare to It outputs bits, bats and nats.
Great for statistics or information theory. Gaussian Error Function: erf and erfc A set of programs the computes the erf x and erfc x. Unlike similar programs available here, the result given by these programs is accurate to all 10 decimals displayed by the calculator. Gaussian Error Function This program calculates the error function of the inputed parameter.
The program calculates the value iterativly, and is fairly accurate. Comments are Welcome. Erlang Distribution Generator This program constructs a list of random variables that have a gamma distribution or an Erlang distribution. Erlang Random Number Generator This program acts as a "random" number generator for the Erlang distribution. Exponential Confidence Interval This program will find a confidence interval for the maximum likelihood estimate for the parameter.
Exponential Distribution This program will do the following: 1 It computes values and graphs the exponential pdf. Expreg This is another great program i have created for my statistics class. It does both exponential and power regression growth. You simply tell it where the infromation is and it does everything for you. But i do suggest that if you don't know a little about exponetial or power regression not to use this program cause it will confuse you more than you were in the first place.
Extreme Standard Deviate This program works with the extreme standard deviate when given population information.
This program will find the mode s of a list, and do it quickly. F-interval This program will compute the confidence interval for the ratio of two population variances based on the sample variances using the F-distribution.
The user inputs the information and receives the point estimate for the ratio as well as the lower and upper bound for the interval.
F-Distribution This program will work with the F-distribution. It will supply information about the pdf, the cdf and measures. These measures include the mean, mode, approximate median, variance, std deviation, skewness and kurtosis. Fences Calculator This program calculates the fences of a set of data to determine the outliers given a Q1 and Q3.
This program is easy to use and saves time on stats tests. Fences This program computes the fences for outliers using the mild outlier rule and the extreme outlier rule.
Finite Population Correction Factor This program computes the margin of error or the sample size for a proportion using the finite population correction factor. First Order Exponential Smoothing This program will perform a first order exponential smoothing technique for forecasts.
It also outputs the mean square error for such forecasts. Great for business statistics students. The user may evaluate values on the PMF or obtain measures about this distribution.
List Frequency Count This programme computes the frequency of repetitive elements in a specific list Defined by the user. Check out the screen shots. After the program runs, the unique data is then displayed in L1 with frequencies in L2 and relative frequencies in L3. The original data is moved to L5 and sorted in L6. Frequency Polygon This program will construct a frequency polygon. The user inputs the data list and the number of classes.
The program will give the choice of frequency polygon, histogram or both. Great for elementary statistics. Friedman Test This program conducts the Friedman test from non-parametric statistics. The program outputs information. Please read the accompanying documentation for further details. FTest Utility This program performs a one-sided F-Test for determining the utility of a general linear model. Can input data or statistics for this program.
Levi's Free Throw Probability Program Calculates the probability of making a certain number of free throws. Input your free throw percentage and number of attempts. Gamma Distribution This program will produce information concerning the gamma distribution along with graphs. It will also produce the variance matrix so that you may determine the variance for each estimate. It also gives degrees of freedom and the variance estimate for the population.
Gives its mean, standard deviation, and variance, and 3. Geometric Mean Pretty simple program. Finds the geometric mean of two numbers. It works. Geometric Mean A very simple, yet reliable, geometric mean program.
Geometric RNG This program is a random number generator for the geometric distribution. Geometric Distribution This program will compute probabilities for the geometric distribution under the rule that we are investigating the number of trials until the first success, not the number of failures until the first success so the support are the natural numbers.
It will also compute the mean, median, mode, standard deviation, variance, skewness and kurtosis. The user may also plot a histogram, a graph of the cdf and a frequency polygon for a specified distribution.
Glejser This program performs a Glejser test for heteroscedasticity. Great for econometrics. Geometric Mean Calculates the geometric mean of a series of numbers. Pretty idiot proof, though I'm probably under-estimating the idiot population. GOF arbitrary This program will compute a chi-square goodness of fit test for an arbitrary discrete distribution. GOF binomial This program will perform a chi-square goodness of fit test assuming the distribution is binomial. GOF Normal 2 This program, unlike my previous one, will perform a GOF test for normal distributions when we use sample statistics rather than having the population parameters specified.
It will output the df N-3 this time , the test statistics and the p-value. GOF normal This program will perform a chi-square goodness of fit test for data that is assumed to be normally distributed. GOF poisson This program will perform a chi-square goodness of fit test with the hypothesized distribution a poisson. GOF uniform This program will perform a chi-square goodness of fit test under the hypothesis that the distribution is uniform evenly distributed.
Goldfeld Quandt Test This is test of unequal variances common in econometrics. First enter the width boundaries in L1 and L2 the frequencies in L3. Start the Program to display facts about the distribution. Hartley This program will perform a Hartley test for testing homogeneity of population variances an extension of the F-test.
Please read the enclosed documentation for a full description. It suggests the number of bars, or classes, K for your data, but you can override this. Also, the width range is given corresponding to your choice of K.
You enter width W from the range. A whole number width is best, if possible. You will see the boundaries of each bar, the frequency and relative frequency of each class. The user may enter in data or statistics. It also gives the user the option to see the graph. Hyperbolic Secant Distribution This program deals with the hyperbolic secant distribution.
It works with the pdf, cdf, mgf, cf, inverse cdf and outputs values like the mean, median, variance, etc. The graph of the distribution, and 4. Hypothesis Test Expected Y This program will perform a hypothesis test on the expected values of the output variable. Great for business students studying statistics. Hypothesis Test Multico This program performs a hypothesis test for multicollinearity between two independent variables.
Additionally, it will give you the number of outliers and what they are. Index1 This program will compute Laspeyres and Paasche indices. Great for business stats students. Infinite Rolls This program can simulate rolling a die with any number of sides any number of times.
Updated version includes a histogram. Great for second statistics courses or experimental design. If the data is from a sampling distribution, the standard error of the mean is also found. Inverse Chi-Square 2 This program is an alternate version of the inverse chi-square program that uses a formula rather than solves an equation. The user inputs the sample size and the alpha-level. It will find the score to the alpha-level corresponds to the area right of the value.
Inverse Chi-Square This program computes the critical values for the chi-square distribution. Just enter the area to the right of the critical value and the degrees of freedom this is to be consistent with current tables.
InverseChiSquarev2 Contains two versions of computing inverse chi square functions, one will output just right-sided scores for the chi-square distribution and the other will output both left scores and right scores for an assigned probability. Inverse F This program will compute inverse F values. The user enters the area to the right of the value under the F distribution the degrees of freedom for the numerator and denominator respectively.
The program will output the score. It runs slow, but it is small. Inverse T command Similar to the invNorm command on TI Plus calculators, this one determines the t-value for an area left under a t-distribution. Inverse Triangular Scores This program will compute inverse triangular values for a triangular distribution. The user inputs the the endpoints and the location of the mode and the percentage of data left of the score. The program computes the score and will draw a picture of the situation.
Inverse Uniform This program computes the score for a uniform density. The user may input the endpoints or the mean and standard deviation of the uniform density and then the amount of are LEFT of score.
The program outputs the score and a diagram of the situation. Great for elementary statistics and probability students.
Inverted Chi-Square Distribution This program works with the inverse or inverted chi-square distribution. It will produce values on the pdf, cdf and measures. Graphs of the pdf and cdf are also produced. Inverted Chi-Square RNG There are two files in this folder, one for generating a single random value based on the inverted chi-square distribution and another that will generate a histogram with 99 values showing an approximation to the pdf.
Inverse T distribution This finds the function value of the t-distribution given the degrees of freedom and the p-value or the area of the tail. Inverse T Because the TI does not have an Inverse T function for use in statistics, I decided to make a program that calculates it for you via a 'back door'. Version 2: Used a different backdoor approach.
This one is much slower, but will return more accurate results, and should not have domain errors. The test uses the skew and kurtosis measures moment formulas. The program will produce the test statistic, the skew, the kurtosis, the sample size and the p-value it uses chi-square with 2 degress of freedom and this is an asymptotic result.
Stat Stuff This program returns, with the push of a button, the mean, Standard Deviation, and much more! It even equaits an inputted Z-score. Finds the above values from a list, inputted either, from a premade location, or right on the spot. You could do all these things by pencila nd paper, one by one on your calculator Please read the accompanying documentation for details.
Kendall's Tau This program will compute Kendall's tau for ranked data. KMeans This is a program for applying K-means algorithm to two attributes and two groups. Basic intro problem for such an algorithm. Please read over documentation for details. Great for intro data science.
Great for data science or statistics. The user inputs the ranks of the data or the statistics gathered from the data. The program will output the test statistic and p-value. Kurtosis Test This program performs a test of non-normality using the kurtosis of a data set. Included are lists used in the program, so please download these as well if you use the program. Laplace Distribution This program outputs information about the Laplace or double exponential distribution.
Select the type of calculator you wish to upgrade. There might be a slight delay while the update is in progress. Unplug the TI Plus from your computer after it shuts down. Power on the calculator to display the updated operating system. You should occasionally back up the TI Plus to prevent data loss.
Since output values are presented as an decimal values you can also utilize that code to calculate probability of simple events. This is more shortcut than a self contained program. Displays range using values from 1-Var Statistics so you have to run it first - otherwise you'll get an garbage or error. Displays variance for sample SAM and population POP using values from 1-Var Statistics so you have to run it first - otherwise you'll get an garbage or error.
Calculates z-score of given value in respect of data. Both programs display value rounded to specified number of places after decimal mark R argument.
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