CALCULATOR HANDOUT
MATH 118 (TI- 82 or TI- 83 and some TI 85/86/81)
    I.  Arranging data in increasing order.

    Enterting data:

    1) Clear any existing lists of data: STAT 4 2nd 1 , 2nd 2 ENTER
    On your screen it should look like: ClrList L1,L2 and after you hit ENTER it will display Done   OR  to clear go to the top of your list and hightlight L1 and hit clear and then enter

    2) Enter Data into L1: STAT 1 for edit. Then type in your data after each one hitting ENTER. When finished hit 2nd  MODE to quit. Your data is now stored in list one. 

    ordering list:

    3)  Hit STAT button, 3 for sort A(   ,if your data  is in List 1, hit 2nd 1 for list 1, then press )   and press ENTER.  Now when you press STAT again and 1 for edit, the data values should be in increasing order.

     II.  Entering Data and Graphing Histograms (Sec. 2.3)

    Entering data:

    1) Clear any existing lists of data: STAT 4 2nd 1 , 2nd 2 ENTER
    On your screen it should look like: ClrList L1,L2 and after you hit ENTER it will display Done   OR  to clear go to the top of your list and hightlight L1 and hit clear and then enter

    2) Enter Data into L1: STAT 1 for edit. Then type in your data after each one hitting ENTER. When finished hit 2nd  MODE to quit. Your data is now stored in list one.

    Once you have entered in your data you may graph your histogram as follows:

    3) 2nd Y = (statplot) 1 highlight ON and press ENTER. Use your down arrow key to go to Type &  highlight the histogram and press ENTER . The Xlist should be on L1. 2nd MODE to quit. Now hit ZOOM and use your down arrow key to highlight ZoomStat and hit enter. The graph should appear (if not press GRAPH)
    You may hit TRACE  and use your arrow keys to move around the graph.

    Note: you may need to turn the stat plot off before you can graph from the regular y = screen by hitting 2nd y = (statplot) 1 highlight OFF and press ENTER. Also you will need to have a regular zoom screen by hitting ZOOM and use your down
    arrow key to highlight ZSTANDARD hit enter and quit.

    Note for TI-82 users only:

    You will need to change your window to graph your histogram: Press WINDOW and then change Xmin to 0, Xscl to your class width, Xmax to the right endpoint of the interval of your last class, Ymin should be 0. You may leave Ymax and Yscl as they are.

    III.  Finding the Mean, Standard Deviation, and 5 Number Summary (Statistics Sec. 3.1,3.2,3.3,3.4)

    1)    Clear any lists and enter data in list 1 (these steps appear under II from first page of calculator handout)

2) From the normal calculator screen hit STAT (to calc) press 1 for 1-var stats and press ENTER .  X with the bar over it is the mean, Sx is the standard deviation for our sample. Use your down arrow key to find the 5 number summary:

MinX, Q1, Med, Q3 , MaxX

Mean, 5 number summary, and Standard Deviation on the TI-85/TI-86

1) To enter in data: Press STAT F2 for edit ENTER ENTER . Then enter values in x1,x2, etc. Do not enter in values in the y's (leave the 1's in for the y-values). Press ENTER after entering each x-value, EXCEPT after the last data value do not press ENTER Then press EXIT EXIT.

2) To calculate mean and standard deviation once you have entered in your data, press
STAT F1 for Calc ENTER  ENTER F1 for 1-var , then hit 2nd and the minus key (which is list) F3 for names , F2 for xstat and hit Enter. The mean is x with the bar over it and the standard deviation is Sx. Use your down arrow key on the TI-86 to get the 5-number summary.

Mean, median and standard deviation on the TI-81 (these calculators do not provide the 5-number summary)
1)    To enter data: press 2nd MATRX for stat use right arrow key to go to Data, press 1 for edit.  Just enter the values in the x's, i.e. x1, x2, x3 , leaving the y1, y2, y3 blank. DO NOT PRESS ENTER AFTER YOUR LAST DATA VALUE.

2) To find the mean, median, etc.  press  2nd MATRX for stat, press 1 for 1-var and press ENTER.

 IV.  Graphing the Box-Plot (Statistics Sec. 3.4) (Not possible on the TI-85?)

1)Clear any lists and enter data in list 1 (these steps appear under II from the first page of calculator handout)

2) Press 2nd Y= (Statplot) 1 for Plot1 highlight on and press ENTER. Press your down arrow key to select the Type and use the right arrow key to highlight the boxplot . Also, make sure Xlist is on L1.   2nd Mode to quit. Now hit GRAPH ZOOM use your down arrow key to highlight ZoomStat and press  ENTER. Now you may locate your 5 number summary by pressing TRACE and using your left and right arrow keys.

STEP for the TI-82 only: You will need to adjust your window if you would like your boxplot above the axis: Press WINDOW and for Xmin enter 0, for Xmax enter a nice whole number a few numbers larger than your largest data value, for Ymin press 0, then hit GRAPH again.

V. The Table Feature (sec. 14.1 of Chapter 8)  (Note: The TI-85 does not have a table feature, but the TI-86 does)

1)Suppose I want to fill out the following table using my TI-82/83/86:
 
X -2 -1 0 1 2
Y=(2/3)x-1          
Press y = and beside Y1 put (2/3)x - 1 then press 2nd GRAPH (TABLE). Your calculator will automatically select x values for  you (in increments of one). Use your up and down arrow keys to get y when x is -2, -1, 0, 1, 2.     Example, when x = -2, y = -2.333.

Now, if you would like it to prompt you for the x-values so that you may choose your own, press 2nd WINDOW (TBLSET). Press your down arrow key twice and your right arrow key once and press ENTER to highlight ASK for Indpnt. Leave Depend on AUTO. Now hit 2nd Graph and you should have an empty table. Now if you press -2 ENTER for example, it should give you y = -2.333. Continue on in this way. Now remember if you want the calculator to automatically put x-values in the table in increments of 1 again, you must go back to TBLSET and highlight AUTO again.

VI. Linear Regression and correlation on the TI/82/83/85/86/81  (Sec 14.2,14.3,14.4 of Chapter 8 )

Note For TI-83 users only: If you are using the TI-83, make sure you're DIAGNOSTICSON is highlighted by punching 2nd 0 (Catalog) and using your down arrow key to highlight DIAGNOSTICSON and hit ENTER and then quit. If for some reason when you get to your linear regression screen and the correlation r doesn't appear you will need to once again make sure DIAGNOSTICSON is highlighted.

1) Linear regression and finding correlation on the TI/82 or TI/83

Enter in x-values into L1 and y-values into L2. Then hit STAT and to CALC then 4 (on the TI-83) or 5 (on the TI-82) for LinReg(ax+b) ENTER
The regression line is y = ax + b and it gives you the values for a and for b. So by inserting in for a and b on paper the values given, you have your regression line. The correlation is r on this same screen. The TI-82 doesn't give you r-squared (the coefficient of determination) so you will have to square r mannually on your calculator.

3) If you would like to view the scatterplot and regression line on the same screen: To enter the regression line as y1 in the " y = " screen press y = and position cursor beside " y1 = " on the TI-82 press VARS 5 then use your right arrow key to go over to EQ and press  7 and on the TI-83 press VARS 5 then use your right arrow key to go over to EQ then press 1. Turn your statplot 1 on, highlight the scatter plot under type, make sure that your xlist is L1 and your ylist is L2 and when you zoomstat, both the linear regression line and scatterplot will be graphed.

Linear regression on the TI/85

Enter data in the STAT list editor screen by pressing STAT F2 for edit ENTER ENTER , enter first x1 and press ENTER after each value, except for after the last y-value. Press 2nd M1 to select CALC. Then press ENTER ENTER F2 to select LINR and display coefficients a and b of the regression line y = a + bx. To get the line, insert the values of a and b on your paper in this equation.

To see a scatterplot of the data press 2nd M3 to select DRAW and then F2 to select SCAT. To draw the regression line on the same screen as the scatterplot, press F4 to select DRREG. To enter the regression equation as y1 in "y(x)=" screen, with the CALC menu and the LINR screen still displayed, press MORE F4 to select STREG (Store regression) then type Y1 to the right of the blinking cursor beside "Name=" (by pressing 2nd alpha y 2nd alpha 1 ENTER ).

Linear regression on the TI-86
Press 2nd + for STAT.  Press F2 for edit.  Enter your data points in.  Press EXIT.  Then press 2nd + for STAT, press F1 for Calc then  F3 for Linr then 2nd - for List then F3 for Names then F3 for xstat then press the comma key , then F4 for ystat then press ENTER.  Please note on the TI-86 the linear regression line is y = bx +a.

Two Variable stats on the TI-86
Press 2nd + for Stat then F1 for Calc then F2 for Two var then 2nd - for List then F3 for names then F3 for xstat then press comma key , then F4 for ystat then press ENTER.

Linear regression on the TI-81
1) entering data: Press 2nd MATRX for stat, press your right arrow key to highlight data  press 1 for edit.  Enter your data points in x1,y1, x2, y2, etc., but do NOT  press enter after the last data value.

2) Getting the equation of the line:  Press 2nd MATRX for stat then press 2 for linreg and then press ENTER.  Notice r is the correlation.  You will have to square this value manually on your calculator to obtain the coefficient of determination (r-squared)

COMMON ERRORS WITH CALCULATORS:

1)    If you cannot graph from the y=  screen, try pressing zoom and then go down to zoom standard and press enter.  If it still doesn't work, try pressing 2nd y = which is stat plot and make sure your statplots all display off.  If not, you must shut them off to graph from regular y = screen.

2)     For TI-83 users only:  If you cannot see List 1 (L1), i.e. if  calculator starts at L2 or L3, hit the stat button go down to set up editor press ENTER and then ENTER again. Now, when you press stat and 1 for edit, L1 should appear.

3)    Dimension error for linear regression line:  This means you have not entered the same number of data values in L1 and L2.  Recheck your data values and always make sure there is the same number of x-values as y-values.

4)    Dimension error using root/zero feature:  This means for the lower (left) bound you have chosen the right (upper) bound.   Try switching bounds. If you had cursor above the x-axis for left (lower) bound, retry it, this time puttting the cursor below the x-axis for left (lower) bound.

5)    If your calculator is displaying incorrect values:  You can always reset your memory, but IF YOU HAVE STORED ANY PROGRAMS IN YOUR CALCULATOR THEY WILL BE ERASED.  Resetting your memory will get you back to the default settings of your calculator.  If you have a question whether you should restart your memory, please see me.  Look for the MEM feature on your calculator (on the TI-82/83 it is 2nd +) and then go down to reset and press enter.

6)    If your screen is very light, how do you darken font?  hit the 2nd button and the up arrow key.

7)    If you cannot graph from the statistics statplot screen make sure you hit zoom and go down to zoom stat and press ENTER twice.