Calculator Handouts
[ TI-81 | TI-82 | TI-83 | TI-85 ]
You will need a calculator with the capability to do one- and
two-variable statistics through correlation and simple linear regression.
Many of you may already own such a calculator, so check your instruction
manual before buying a new one. Most graphing calculators have this
capability. For those of you who do need to buy a new calculator, I
recommend the Sharp EL-506L ($20). I will hand out some brief instructions
for the TI-81, -82, -83 and -85. Beyond this, it will be up to you to
learn how to use your calculator.
STATISTICS ON THE TI-81
- Clear the lists
2nd STAT DATA 2:Clrstat ENTER
- Enter the data
2nd STAT DATA 1:Edit
Now enter the data followed by ENTER. For one-variable data leave the
Y values as 1.
- For one-variable data
2nd STAT CALC 1:1-Var ENTER
Note: there are two standard deviations given. The right one is to
use Sx.
- For two-variable data
2nd STAT CALC 2:LinReg ENTER
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TI-82 ONE-VARIABLE STATISTICS
- Clear the L1 list. One way to do this is
STAT 1:EDIT
use up-arrow to move the cursor up to L1
CLEAR ENTER
- Enter the data in the L1 column. After clearing L1 the cursor should
be in the first entry for L1. Now just type each entry followed by ENTER.
- STAT CALC 3:Set Up (Use right-arrow to move the cursor over to CALC
after you push the stat key.)
Make sure that under 1-Var Stats, Xlist is L1 and Freq is 1. If not
move the cursor to L1 (or 1) and push ENTER.
- STAT CALC 1:1-Var Stats ENTER
Use the up- and down-arrows to scroll through the results given.
Note: there are two standard deviations given. The right one to use is
Sx.
If you want box plots or histograms follow the following steps.
- 2nd STAT PLOTS 1:Plot1
The first line should be ON
Type should be the box plot or histogram icon
Xlist should be L1
- 2nd STAT PLOTS
Make sure Plot2 and Plot3 are off. If not turn them off.
- WINDOW (only for a histogram)
Xmin = a number a little smaller than the smallest x-value
Xmax = a number a little bigger than the largest x-value
Xscl = the class width (i.e., the width of a bar)
Ymin = 0
Ymax = a number a little larger than the largest frequency
- ZOOM 9:ZoomStat
TRACE (optional) Use left- and right-arrows to move around the graph
TI-82 TWO-VARIABLE STATISTICS
- Clear the L1 and L2 lists. One way to do this is
STAT 1:EDIT
use up-arrow to move the cursor up to L1
CLEAR ENTER
use right and up-arrow to move the cursor up to L2
CLEAR ENTER
- Enter the x-data in the L1 column. First move the cursor to the first
entry in L1. Now just type each entry followed by ENTER.
- Enter the y-data in the L2 column. Use the right-arrow to move to L2.
- STAT CALC 3:Set Up (use the right-arrow to move the cursor over to
CALC after you push the STAT key.)
Make sure that under 2-Var Stats, Xlist is L1, Ylist is L2 and Freq is
1.
- STAT CALC 9:LinReg(a+bx) ENTER
This gives you values a, b and r. Note: you can
use 5:LinReg(ax+b) and get the same answer. The only difference is that
the roles of a and b are interchanged.
To get a scatter plot, follow these steps.
- WINDOW. Set Xmin a little bit less than the smallest x-value
and Xmax a little bit more than the largest x-value. Likewise for Ymin
and Ymax.
- 2nd STAT PLOT 1:Plot1. Set type to scatterplot (the first icon). Be
sure Plot1 is on, Xlist is L1 and Ylist is L2.
- GRAPH.
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TI-83 ONE-VARIABLE STATISTICS
- Clear the L1 list. One way to do this is
STAT 1:EDIT
use up-arrow to move the cursor up to L1
CLEAR ENTER
- Enter the data in the L1 column. After clearing L1 the cursor should
be in the first entry for L1. Now just type each entry followed by ENTER.
- STAT CALC 1:1-Var Stats ENTER
Use the up- and down-arrows to scroll through the results given.
Note: there are two standard deviations given. The right one to use is
Sx.
TI-83 TWO-VARIABLE STATISTICS
- Clear the L1 and L2 lists. One way to do this is
STAT 1:EDIT
use up-arrow to move the cursor up to L1
CLEAR ENTER
use right and up-arrow to move the cursor up to L2
CLEAR ENTER
- Enter the x-data in the L1 column. First move the cursor to the first entry in L1. Now just type each entry followed by ENTER.
- Enter the y-data in the L2 column. Use the right-arrow to move to L2.
- 2nd CATALOG (bottom row) use the down-arrow to DiagnosticOn ENTER ENTER. You need to do this step if you aren't getting r in the next step.
- STAT CALC 8:LinReg(a+bx) ENTER
This gives you values a, b and r for the list L2 (the y-variable) regressed on the list L1 (the x-variable). To switch the roles of the 2 lists (i.e., the 2 variables), type
STAT CALC 8:LinReg(a+bx) 2nd L2, 2nd L1 ENTER
This gives the list L1 regressed on L2.
(STAT CALC 8:LinReg(a+bx) X-list, Y-list ENTER)
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STATISTICS ON THE TI-85
- Clear the lists.
- STAT EDIT ENTER ENTER CLRxy
- Now enter the data followed by ENTER. For one-variable data leave the y-values as 1.
- For one-variable data
STAT CALC ENTER ENTER 1-Var
Note: there are two standard deviations given. The right one to use is Sx.
- For two-variable data
STAT CALC ENTER ENTER LinReg
Note that the ENTER ENTER sequence in steps 1, 2 and 4 assumes that your calculator shows
xlist Name = xStat
ylist Name = yStat
at this point. If not, replace ENTER ENTER by xStat, yStat.
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