WORKING WITH THE TI89
We
will be using the following statistical features of the TI89:
Stats/List Editor When you select the Stats/List Editor icon, click ENTER. You must see a group of lists named: list1,
list2, list3,.... To enter data in a list: To enter the data in the selected list, place the cursor below the list name using the left(right) or up(down) arrows. Type the entries in the list, following each value with ENTER To create a new list , in addition to the 6 default lists: If you want to create a new list, place the cursor on any of the list names (list1, list2,...) and move the cursor to the right until you find a blank column. Type the name you want for the new list, then click ENTER. To enter the data in the selected list, place the cursor below the list name using the left(right) or up(down) arrows. Type the entries in the list, following each value with ENTER. To delete a list, Put the cursor at the title of list Press simultaneously the two buttons :(GreenButton) and (DEL) To access a list of names : Use 2^{nd} → VAR LINK (same button as subtraction) To sort the data in a given list in ascending(increasing) order, Put the cursor at the title of list Click F3 Select 2:Ops Press ENTER Select 1:Sort List You should see the name of the selected list. If you do not see it, you have to find the list you want sorted using :2^{nd} → VAR LINK Press ENTER
To sort the data in a given list in descending(decreasing) order, Put the cursor at the title of list Click F3 Select 2:Ops Press ENTER Select 1:Sort List You should see the name of the selected list. If you do not see it, you have to find the list you want sorted using :2^{nd} → VAR LINK Press ENTER Under the list name you will see the option Sort Order : Now select Descending (the Ascending order is the default!) To Clear a list: Put the cursor at the title of list Click CLEAR Press ENTER F4CALC Use this option to get one or two variable summary statistics, the correlation coefficient, linear regression coefficients (slope and yintercept), and regression using transformed variables. 1:1Var Stats: Use this option to compute summary statistics for onevariable (univariate) data. It gives the number of observations(n), mean(X), sum(Σ X), sum of squares (Σ X^{2}), sample standard deviation (S_{x}), population standard deviation (σ), median(m), quartiles (Q_{1} and Q_{3}), minimum, and maximum. 2:2Var Stats: Use this option to compute summary statistics for bivariate data. It gives the number of pairs of observations (n), mean(X, Y), sum(ΣX , ΣY), sum of squares (Σ X^{2 }, ΣY^{2}), sample standard deviation (S_{x}, S_{y}), population standard deviation (σ_{x} , σ_{y}), min and max for each variable, and sum of products (ΣXY). 3:Regressions: Use this option to get the correlation coefficient and least squares estimates for slope and yintercept for linear regression. 8:ExpReg: Use this option for exponential transformation to linearize a regression model. 9:PowerReg: Use this option for fitting a power model using logarithmic transformation to linearize a regression model. F6.TESTS We will talk about these options after we have learnt about Statistical Inference. STAT PLOT: Use this option to make a scatterplot, boxplot, histogram, regression line plot, and residual plot. MAKING A HISTOGRAM USING THE ENTIRE DATA SET:
MAKING A BOXPLOT :
PARAMETERS OF A DISTRIBUTION OF UNIVARIATE (one variable!) DATA Click F4Calc Select 1:1Var Stats Press ENTER Press 2^{nd} → LIST to select the list with the data Select the list with the data Press ENTER You should see a window with all the results of the calculations WORKING WITH BIVARIATE (two variables!) DATA: TO MAKE A SCATTERPLOT:
TO COMPUTE THE CORRELATION COEFFICIENT:
TO GET SUMMARY STATISTICS FOR BIVARIATE( two variables!!) DATA
TO CALCULATE RESIDUALS: The TI89 calculator, creates automatically a new list called resid with the residuals for the calculated Y1(X) function. TO TRANSFORM DATA
WORKING WITH RANDOM NUMBERS To work with the random generator randInt, follow these instructions:
