Kathryn Bollinger's
TI-83 Calculator Help in MATH 142
Finding Function Values
Enter your function into Y=.
Return to the home screen by pressing 2nd MODE (QUIT).
Call your function to the home screen by pressing VARS, cursoring right to Y-VARS, selecting 1:Function,
and choosing the appropriate function name.
You will now have your function name on the screen, say Y1.
Add parenthesis and an x-value, just as function notation would be written on paper, so that you have something like
Y1(2).
Finding the Intersection Point of Two Lines
Graph the two functions by entering the slope-intercept form of the
lines into Y1 and Y2. These are located under the Y=
button.
Go to CALC which is found by pressing 2nd TRACE.
Select option 5:intersect.
The calculator will prompt you for the first and second curves you want to
intersect. The cursor will blink on a function and show the function name in the
upper left corner of the screen. When it blinks on Y1, press ENTER
& when it blinks on Y2, press ENTER.
The calculator will then ask you to guess where the intersection point is
located. Use your right and left arrow keys to move to
the intersection point and press ENTER.
The intersection point will appear at the bottom of the screen.
Finding the Zeros of a Quadratic Function
Using Intersections
Put your quadratic function into Y1 and set Y2=0. (You can use any two function locations.)
Find the intersection points of these two functions using the directions given above.
Using the Zero Function
Put your quadratic function into Y1 (or any other function location).
Graph the function so that you can see where the quadratic crosses the x-axis (where your function = 0).
Go to CALC which is found by pressing 2nd TRACE.
Select option 2:zero.
The calculator will prompt you for the LeftBound. Use your left or right arrow key to move the cursor to the left of where it
crosses
and hit ENTER. The calculator will then prompt you for the RightBound. Move the cursor to the right of where it
crosses and hit ENTER.
The zero will appear at the bottom of the screen.
Regression Models
Linear Regression
Enter your x and y values into lists. To do this, hit STAT and
select 1:Edit.... If you have anything in L1 or L2,
cursor up to the name of the list, hit CLEAR and ENTER.
Now just enter in your values one at a time by pressing ENTER after
each number.
To find the regression equation, first hit STAT, cursor right to
CALC and select option 4:LinReg(ax+b). Now press 2nd 1 ,
2nd 2 , to specify the x list and y list. (REMEMBER THE COMMAS!) Hit VARS, cursor right to
Y-VARS, select 1:Function... and Y1 (or
whichever function you would like) to specify where the regession equation will be saved.
You should now see the following on your home screen:
LinReg(ax+b) L1, L2, Y1
Now, press ENTER. The following should appear on your screen:
LinReg(ax+b)
y=ax+b
a=....
b=....
r^2=....
r=....
Your regression line is the equation now saved under Y1.
If you don't have the r stuff, then you need to turn your diagnostics
on. To do this, hit 2nd 0, and cursor down to select DiagnosticOn.
When this comes up on your home screen, press ENTER and it should say
Done.
To graph the regression line with the data points, first make sure your stat plot
is turned on. To do this, hit 2nd Y= and select 1.... by
pressing ENTER. You can then highlight any of the options you would like.
Now just hit GRAPH. If you don't see anything, adjust your window
size under WINDOW and ZOOM.
To find a y value from your regression line when given an x value, go to
CALC (2nd TRACE) and select option 1:value. Then just
enter the value for x.
To find an x value from your regression line when given a y value, enter the
y value under Y2 and then find the intersection point between
Y1 (your regression line) and Y2.
Other Models of Regression
Follow the instructions in step 1 of linear regression above for inputting the data and then select the following options
under STAT -> CALC to find the specified models. If you would like to plot the equation with your data or predict values from
your model, follow
the instructions in steps 4-6 given above for linear regression.
Quadratic Regression: 5:QuadReg
Exponential Regression: 0:ExpReg
Power Regression: A:PwrReg
Cubic Regression: 6:CubicReg
Quartic Regression: 7:QuartReg
Logarithmic Regression: 9:LnReg
Logistic Regression: B:Logistic
Compound Interest and Effective Rates of Interest for Non-Continually Compounded Accounts
For both of these types of problems, go to FINANCE on your calculator. If you have the regular TI-83, this is found by hitting
2nd x^(-1).
If you have the TI-83 Plus, this is found by hitting the blue APPS button and selecting option 1:Finance....
Compound Interest
Select option 1:TVMSolver. You should have the following on your screen:
N = I%= PV= PMT= FV= P/Y= C/Y=
Fill in all but one of the above options (the one you are trying to solve for) as follows: N = the total number of times compounded
(the number of times compounded per year times the number of years), I% = interest rate (not in decimal form), PV = present value
(the amount you invest), PMT = 0 (we are not making payments in this class), FV = future value (the amount of money you have at the
end of your investment),
P/Y = C/Y = the number of times compounded per year (since we are not making payments). If you fill in PV and FV, one must
be negative in order
for your calculator to find an answer. (Simulating the flow of money between you and the bank.) Make sure you have
some kind of value
entered in the spot for whichever variable you are solving for or else the calculator will not let you proceed to input values for
the rest of the variables.
Move your cursor to the value you are solving for and hit ALPHA and then ENTER.
Effective Rates of Interest
Select option C:Eff(.
Input the nominal interest rate (not in decimal form) followed by a comma and then the number of times the account
is compunded per year.
Hit ENTER.
Evaluating Definite Integrals
Go to MATH and select option 9:fnInt.
Fill in the four arguments for fnInt as follows: fnInt (function, X, lower limit, upper limit)