USING THE TI-Nspire CAS AND TI-Nspire HANDHELDS · 2013. 5. 13. · USING THE TI-Nspire CAS AND TI-Nspire HANDHELDS Adjusting the Number of Digits Displayed To determine the lower

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSUsing the Function Table FeatureA function can be displayed in a table of values.

1. Enter the function into the data entry line of the Graphs and Geometry application.

For example, to enter the function y 5 20.1x2 1 2x 1 3, press

.

2. Add the Lists and Spreadsheet application.

Press , and scroll to 3: Lists & Spreadsheets Application.

Press .

3. View the function table.

Press , and scroll to

5: Function Table 1: Switch to Function Table.

Press to select the choice, then

press again to carry out the request.


4. Set the start point and step size for the table.

It is possible to view the table with different increments.

For example, to see the table start at x 5 23 and increase

in increments of 0.5, press ,

scroll to 5: Function Table 3: Edit Function Table Settings

and press , and then adjust the settings as shown.

Then to “OK” and press .

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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSUsing the Split Screen

1. To see a graph and a table at the same time: press .

• Scroll to 5: Page Layout 2: Select Layout 2: Layout 2

(your choice), and press .

• Press followed by to move the cursor to the

empty screen.

• Press to select the Lists and Spreadsheet application, and

press .

• Press and scroll to

5: Function Table 1: Switch to Function Table.

• Press to select the choice, then

press again to carry out the request.



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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSDetermining the Zeros of a FunctionTo determine the zeros of a function, use the “Trace” feature in the Graphs and Geometry application.

1. Enter the function.

Enter y 5 2 1x 1 32 1x 2 52 into the data entry line of the Graphs and Geometry application. Press .

2. Access the “Trace” feature.

Press and scroll to 5: Trace 1: Graph Trace, then

press .

3. Use the and keys to move the cursor along the curve. A point will appear on the graph. Using the cursor, move the point until the word “zero” is displayed. Repeat to determine the second zero.



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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSDetermining the Maximum or Minimum Value of a FunctionThe least or greatest value can be found using the “Trace” feature in the Graphs and Geometry application.

1. Enter y 5 22x2 2 12x 1 30. Graph the function and adjust the window as shown.

The graph opens downward, so it has a maximum.

2. Access the “Trace” feature.

Press and scroll to 5: Trace 1: Graph Trace,

then press .

3. Use the and keys to move the cursor along the curve. A point will appear on the graph. Move the point until the word “maximum” is displayed. If a graph has a minimum, the point will be

displayed with the word “minimum”.



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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSDetermining the Points of Intersection of Two Functions

1. Enter both relations into the data entry line of the Graphs and Geometry application.

For example, enter y 5 5x 1 4 in f1(x), and then press .

Enter y 5 22x 1 18 in f2(x), and then press .

2. Graph both relations. • Adjust the window settings until the point(s) of intersection is

(are) displayed. You can do this by changing the window settings or by picking up the graph and moving it.

• Move the cursor to an empty area in the window.

Hold the “click” key down until a closed fist appears.

• Use the arrow keys to move the graph until you see the intersection point(s).

3. Use the intersection feature.

Press and scroll to

6: Points & Lines 3: Intersection Point(s),

and then press .

4. Determine a point of intersection. • Select the two lines. Move the cursor to one of

the lines. When the line blinks, press to select the line.

Repeat this process to select the second line.

• As you move the cursor near the second line, a point will appear

at the intersection. To make the point permanent and to know

its coordinates, press . The point of intersection is (2, 14).

Note: If there is more than one point of intersection, all the points of intersection that are visible in the window will appear.



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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSAdjusting the Number of Digits DisplayedTo determine the lower zero of the function y 5 x2 1 x 2 5 to four decimal places, you can change the number of digits displayed

• for a particular value on a graph, • for all values on graphs, or • for all calculated values generally.

1. Graph the function and determine the lower zero. In the Graphs and Geometry application, enter the function

y 5 x2 1 x 2 5.

Press and scroll to 6: Analyze Graph 1: Zero to determine the lower

zero of the function.

2. Change the number of digits displayed for the zero.Move the cursor over the coordinate label for the zero.

It will change to a hand icon with “text” next to it.

Press and scroll to 2: Attributes.

Use the or key to change the number in the “Custom Precision”

box to 4, then press . Alternatively,

3. Change the number of digits displayed for all values.

Move the cursor to the icon near the top right of the screen and click on it:

• scroll to 2: Settings 2: Graphs and Geometry to change the number of digits displayed in the Graphs and Geometry application only, or

• scroll to 2: Settings 1: General to change the number of digits displayed by the handheld in all modes.

For four decimal places, click on the “Display Digits” arrow, scroll down, and click on “Fix 4”. Then, click on “OK”.


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSEvaluating Trigonometric Ratios and Determining Angles

1. Put the handheld in degree mode.

• Press .

• Select 8: System Info 1: Document Settings.

• Use to move through the selections.

• At Angle, select “Degree” using the key.

Press to select “Degree”.

• Continue to press until “OK” is selected.

Then press .

• Press and select the calculator application.

2. Use the , , or key to calculate trigonometric ratios.

To determine the value of sin 45°,

press .

The answer will be exact. To determine the decimal

approximation, press , then .


3. Use SIN21, COS21, or TAN21 to calculate angles. To determine the angle whose cosine is 0.6,

press .



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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSEvaluating Powers and RootsUse the calculator application.

1. Evaluate the power 5.32.

Press .

2. Evaluate the power 7.55.

Press .

3. Evaluate the power 822.

Press .

4. Evaluate the square root of 46.1.

Press .


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSSolving Quadratic EquationsTo solve the quadratic equation 3x2 2 2x 2 5 5 0, you can use the polyRoots function.

1. In the Calculator application, call the polyRoots function from the Algebra menu.

Press and scroll to 3: Algebra 3: Polynomial Tools

2: Real Roots of Polynomial.

2. Enter the corresponding quadratic function.

Press .

The real roots of the function are returned, if they exist. If there are no real roots, “{ }” is returned.

With the TI-Nspire CAS handheld, it is also possible to solve quadratic equations algebraically by various methods.


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSGraphing InequalitiesThe relationship between the number of pairs of skis, x, the number of snow-boards, y, and the daily sales for a sports store can be represented by the inequality

100x 1 120y . 600

or y . 25x61 5

1. Enter the inequality, with y isolated.

y . 25x61 5

With the cursor to the right of the “5” sign, press .

Select “>” from the pop-up menu that appears.

Then enter the right

side of the inequality, “25x61 5”.

2. Adjust the screen to show the first quadrant only (optional).

In this case, the variables are whole numbers, so it is appropriate

to show only the first quadrant.

Press and scroll to 4: Window/Zoom 1: Window Settings.

Change to the settings shown and click on “OK” or just press .

The boundary is a dashed line because the “>” inequality sign was

used, meaning that the solution set does not include values on the

boundary.


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSPlotting PointsPlot the test point (4, 4) for the inequality

y . 25x61 5

1. Create a point.

Press , scroll to 4: Points & Lines 1: Point, and

click or press .

A pencil appears with which you can place the point approximately.

2. Edit the coordinates of the point.

To locate the point exactly at the coordinates (4, 4), move the cursor

over it. The cursor will change to a hand icon with “text” next to it.

Press and scroll to 7:Coordinates and Equations.

A label will appear next to the point with its current coordinates.

Double-click on each coordinate in turn, changing it to “4”

and pressing .

The point will now be plotted and labelled at (4, 4).

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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSEntering DataThe following frequency table shows the lengths of Emmanuella’s walks with her golden retriever during one month. To work with this data, you will need to enter it into a spreadsheet and also calculate midpoints for the intervals.

1. Set up column names.

To enter the data above in the Lists and Spreadsheet application, begin by

labelling column A “lower”, column B “upper”, column C1 “midpoint”, and

column D “freq”.

2. Enter the data.

Enter the data from the frequency table in columns A (lower limits

of intervals), B (upper limits of intervals), and D (frequencies).

In cell C1, enter the function command “�(A1�B1)/2”.

Then, copy or fill down this entry for the rest of the cells in

column C, down to the last line of the data.

The cell addresses will automatically adjust.

The spreadsheet now shows the midpoints as well as the intervals and

frequencies for the data.

Other pages for this topic:

TI-83/84 Spreadsheet Fathom


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Length of Walk (min) 5–10 10–15 15–20 20–25 25–30 30–35 35–40 40–45 45–50 50–55 55–60

Frequency 1 3 7 10 6 11 8 5 4 2 3

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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSDetermining Mean, Median, Mode, Range, and Standard DeviationIn the Lists and Spreadsheet application, enter the following data in a single column:

Unit 1 Test

81 76 73 71 64

80 75 73 71 63

79 75 73 68 61

79 74 73 67 58

78 73 72 66 57

1. Determine the mean, standard deviation, and median of the data.

Select column A by clicking on the small “A” at the top left

of the column.

Press and scroll to

4: Statistics 1: Stat Calculations 1: One-Variable Statistics.

Press to display the single-variable statistics for column A.

Row 2, showing “x–” and 71.2, gives the mean for the data.

Scrolling down, row 6, showing “�x :�…” and 6.548…,

gives the standard deviation for the data.

Row 10, showing “MedianX…” and 73, gives the median for

the data.

2. Determine the range of the data.

Rows 8 and 12 give the minimum and maximum values for the data.

The range is the difference of these two values.

Enter “range” in cell D8 and “=c12−c8” in cell E8,

which now displays the range of the data.


3. Determine the mode of the data.

To determine the mode, it is helpful to sort the data.

Select column A, press , and scroll to 8: Sort.

Adjust the settings if necessary to show “a” and “Ascending”, then

click on “OK” or just press .

The data in column A will now be sorted from least to greatest values.

Scroll through column A and determine the mode by locating the

value(s) that occur most frequently. In this case, the mode is 73.




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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSDetermining the Mean and Standard Deviation of Grouped DataThe following frequency table shows the lengths of Emmanuella’s walks with her golden retriever during one month. First, enter the data into a spreadsheet and calculate midpoints for the intervals, as shown in Entering Data.

1. Determine the sum of the grouped data.

Create a new column named “f.x” in column E.

In cell E1, enter “�d1·c1”.

To copy this down for each data row,

• Press with E1 selected, then scroll to

2: Copy and click or press .

• Select cells E2 through E11 and press

to paste in the same formula for the whole data range.

The cell addresses will automatically adjust.

• Then, in cell E12, enter “�sum(e1:e11)”.

2. Determine the mean of the grouped data.

To determine the value of n, sum the frequencies by entering

“�sum(d1:d11)” in cell D12.

Then, scroll over to cell G1 and enter “�e12/d12”

to determine x 5 a f xn .

This displays the mean of the grouped data.

3. Determine the sum of the squared deviations. First, enter “�g1” in cell G2, and copy this down through to cell

G11. (This will make calculating the square deviations easier.) Then, create a new column named “f.sqdev” in column F. In cell F1, enter “�d1*(c1-g1)2”. Copy this down for each data row, then edit. Then, in cell F12, enter “�sum(f1:f11)”.


Frequency 1 3 7 10 6 11 8 5 4 2 3

•


4. Determine the standard deviation of the grouped data. Enter “�sqrt(f12/d12)” in cell H1 to to determine

s 5É a f 1x 2 x 2

n .

This displays the standard deviation.



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Spreadsheet Fathom

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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSCreating a HistogramThe following frequency table shows the lengths of Emmanuella’s walks with her golden retriever during one month. First, enter the data into a spreadsheet and calculate midpoints for the intervals, as shown in Entering Data.

1. Select the data to graph.

Select columns C and D, which contain the midpoints and

frequencies for this data.

Click on the small “C” at the top left of column C, then press to

select column D as well.

2. Create a histogram.

Press , scroll to 3: Data 5: Frequency Plot,

press , and then click on “OK”.

A histogram will appear on the right side of the screen.




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Frequency 1 3 7 10 6 11 8 5 4 2 3

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1. Select the data to graph.

Select columns C and D, which contain the midpoints and

frequencies for this data.

Click on the small “C” at the top left of column C, then press to

select column D as well.

2. Create a frequency polygon.

Press , scroll to 3: Data 6: Quick Graph,

press , and then click on “OK”.

A graph will appear on the right side of the screen.

Place the cursor over the graph, press ,

and select 2: Connect Data Points to form the frequency polygon for

the data.

Other pages for this topic: Spreadsheet Fathom


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSCreating a Frequency PolygonThe following frequency table shows the lengths of Emmanuella’s walks with her golden retriever during one month. First, enter the data into a spreadsheet and calculate midpoints for the intervals, as shown in Entering Data.


Frequency 1 3 7 10 6 11 8 5 4 2 3



USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSUsing the Normal Cdf CommandTo determine the proportion of data from 161 cm to 197 cm on a normal distribution of heights of students with mean 177 cm and standard deviation 15 cm, use the normalcdf command.

1. Select the normalcdf command.

In the Calculator application, press and scroll to

6: Statistics 5: Distributions 2: Normal Cdf….

A dialog box will appear for the Normal Cdf function.

2. Enter the argument.

Enter the given data as shown.

Then, click on “OK” or just press .

The proportion of data between 161 cm and 197 cm is

displayed as a decimal, in this case 0.765 . . . or about 76.6%.

3. Use the normalcdf command with a standard normal distribution.

If the data points are z-scores, so you are using a standard normal

distribution with mean 0 and standard deviation 1, you can leave

the mean and standard deviation as their default values in the

Normal Cdf dialog box, and just enter the area.


TI-83/84 Spreadsheet


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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSUsing the Inverse Normal CommandA brand of running shoes lose their shock absorption after a mean distance of 640 km, with a standard deviation of 160 km. Zack plans to replace his shoes when there is only a 25% chance that they have lost their shock absorption. At what distance should Zack replace his shoes?

1. Select the Inverse Normal command.

In the Calculator application, press and scroll to

6: Statistics 5: Distributions 3: Inverse Normal… .

A dialog box will appear for the Inverse Normal function.

2. Enter the argument.

Enter the given data as shown.

Then, click on “OK” or just press .

The appropriate distance is displayed, in this case 532.082 km.

3. Use the invNorm command with a standard normal distribution.

For a standard normal distribution with mean 0 and standard deviation 1,

you can leave the mean and standard deviation as their default values in the

Inverse Normal dialog box, and just enter the z-score.




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Using the ti-nspire CAs And ti-nspire hAndheldsUsing the Finance Solver

1. Access the Finance Solver.

Press and scroll to 8: Finance 1:

Finance Solver.

The screen to the right appears.

Determine the Investment Term

An investment of $7500 grew to $17 000 at 3.17% interest, compounded monthly. For how long was the money invested?

1. Enter the interest rate.

Click in the box to the right of I(%): and enter “3.17.”


2. Enter the present value.

Click in the box to the right of PV: and enter “27500.”

The present value, which is the principal, must be entered as a negative value for the calculator to provide a correct answer. Payments or principal should always be negative, as this money flows out of the investor’s pocket.

3. Enter the future value.

Click in the box to the right of FV: and enter “17000.”

4. Enter the number of payments per year.

Click in the box to the right of PpY: and enter “1.”

5. Enter the compounding period.

Click in the box to the right of CpY: and enter “12.”

6. Set the final payment amount.

Make sure that the value to the right of PmtAt: is set as “END.”

7. Determine the term.

Click in the box to the right of N: and click

Y= WINDOW ZOOM

2nd MODE DEL

ALPHA X, T, U, n STAT

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The money was invested for 25.848 . . . years, or 25.8 years.

Determine the Interest Rate

An investment of $7500 grew to $17 000, compounded monthly, over a period of 26 years. What is the interest rate?

1. Enter the term.

Click in the box to the right of N: and enter “26.”













7. Determine the interest rate.

Click in the box to the right of I(%): and click

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The money was invested at an interest rate of 3.151 . . . %, or 3.15%.

Determine the Present Value

An investment grew to $17 000 at 3.17% interest, compounded monthly, over a period of 26 years. What is the present value of the investment?

1. Enter the term.












7. Determine the present value.

Click in the box to the right of PV: and click

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The present value is 27464.064 . . . , or $7464.06.

The present value, which is the principal, is always negative, as this money flows out of the investor’s pocket.


Determine the Future Value

An investment of $7500 grew at 3.17% interest, compounded monthly, for a period of 26 years. What is the future value of the investment?

1. Enter the term.













7. Determine the future value.

Click in the box to the right of FV: and click

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The future value is 17081.846 . . . , or $17 081.85.

Determine the Payment Amount

Monthly deposits are made to an account that earns 3.17% interest, compounded monthly. The investment is worth $17 000 after 26 years. What were the monthly payments?

1. Enter the term.


Since there are 12 payments per year for 26 years, multiply 12 by 26 to get 312.




3.Enterthepresentvalue.

ClickintheboxtotherightofPV:andenter“0.”

4.Enterthefuturevalue.

ClickintheboxtotherightofFV:andenter“17000.”

5.Enterthenumberofpaymentsperyear.

ClickintheboxtotherightofPpY:andenter“12.”

6.Enterthecompoundingperiod.

ClickintheboxtotherightofCpY:andenter“12.”

7.Setthefinalpaymentamount.

MakesurethatthevaluetotherightofPmtAt:issetas“END.”

8.Determinethepaymentamount.

ClickintheboxtotherightofPmt:andclick ENTER .

Themonthlypaymentamountis235.151...,or$35.15.

Paymentsorprincipalshouldalwaysbenegative,asthismoneyflowsoutoftheinvestor’spocket.

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Using the ti-nspire CAs And ti-nspire hAndheldsCalculating Sum of InterestMonthly deposits of $35.15 are made to an account that earns 3.17% interest, compounded monthly. The investment is worth $17 000 after 26 years. What is the sum of the interest payments after the first year?

1. Calculate total interest earned.

Press , scroll to 8. Finance, 3. Amortization, 3. Interest Paid.

∑Int( ) appears on the screen.

2. Enter the values in the following order:

(NPmt1, NPmt2, N, I, OV, Pmt, FV, PpY, Cpy)

“(1, 12, 312, 3.17, 0, 235.15, 17000, 12, 12)”

Press

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The total interest earned in the first year is $6.19.




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Using the ti-nspire CAs And ti-nspire hAndheldsCalculating Combinations and Permutations

Combinations

Determine how many different combinations of 4 students can be made from a class of 18 students.

Use the calculator application.

1. Press , then press 5, and then press 3 to

select nCr(.

2. Input “18,4).”

3. Press

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

There are 3060 possible combinations of choosing 4 students from a group of 18 students.

Calculating Permutations

Determine how many different permutations of 4 students can be made from a class of 18 students.

Use the calculator application.


1. Press , then press 5, and then press 2 to select nPr(.

2. Input “18,4).”

3. Press

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

There are 73 440 possible permutations of choosing 4 students from a group of 18 students.




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Using the ti-nspire CAs And ti-nspire hAndheldsCreating a Scatter PlotThe following table of values shows the time and height of a ball that was thrown into the air.

Time (s) 0 1 2 3 4 5

Height (m) 2.0 22.1 32.4 32.9 23.6 4.5

1. Setupcolumnnames.

To enter the data above in the ListsandSpreadsheet application, begin by labelling column A “time” and column B “height.”

2.Enterthedata.

Enter the data from the table in column A(time) and column B(height).

3.Createascatterplot.

Open a new page (graph).

Press , and scroll to 3:GraphType,4:ScatterPlot.

Enter the variable names in the x and y fields as “time” and “height,” respectively

Adjust the window settings to display the entire graph.

Other pages for this topic: TI-83/84 GSP Spreadsheet Fathom


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Using the ti-nspire CAs And ti-nspire hAndheldsUsing Statistics Functions to Perform Regression, Graph the Regression Function, and Extrapolate or InterpolateThe following table of values shows the time and height of a ball that was thrown into the air.

Time (s) 0 1 2 3 4 5

Height (m) 2.0 22.1 32.4 32.9 23.6 4.5

1.Setupcolumnnames.

To enter the data above in the ListsandSpreadsheet application, begin by labelling column A “time” and column B “height.”

2.Enterthedata.

Enter the data from the table in column A(time) and column B(height).

3.Preparetoperformtheregression.

Click in an empty box to the right of the data.

4.Performtheregression.

Press , and scroll to 4.Statistics,1.StatCalculations,

6:QuadraticRegression (or whichever form of regression you need to perform).

5.Entervalues.

Choose “time” for X List, choose “height” for Y List, and choose “f2” for SaveRegEqn.

The statistical information will appear in Columns D and E, next to your table of values.


Graphing a Regression Function

1. Graph the regression function.

Create a new graphing page. (If you have already created a scatter plot for your data, return to the graphing page that contains the plot.)

Press , and scroll to 3: Graph Type, 1: Function.

Select f 2(x) 5 at the bottom of the screen, which should show the quadratic regression equation,

and press

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

The graph and the regression equation appear on the screen.

Interpolate or Extrapolate from the Graph

1. Interpolate or extrapolate values.

Press , and scroll to 5: Trace, 1: Graph Trace.

Move the cursor to trace left and right on the line to view values at the bottom of the screen.

To extrapolate values, you may want to expand the window settings to show more of the graph.

You can also extrapolate or interpolate by creating a point on the graph with a known x- or y-coordinate.

Press , and scroll to 7: Points and Lines,

2: Point On.

Click on the graph of the function. A point with coordinates appears at the point of clicking. Change the location of the point by replacing one of its coordinates with the known value. The point moves to the correct location on the function, and its new coordinates include the unknown value.

You may have to adjust the window settings to see the moved point.


Interpolate or Extrapolate using the Function Table

1.Clickinthecellwiththetablevalue.

2.OpentheFunctionTable.

Press ,andscrollto5.FunctionTable,1.Switchto

FunctionTable

(orCtrl1T).

Choosef(x)f 2,wheretheregressionequationisstored.

3.Changethetablesettings.

Press ,andscrollto5.FunctionTable,

3.EditFunctionTableSettings...

Startthetableat0,andsetthedeltatableto0.5.

Clickon OK .

Scrolltofindtheheightsbetweentime0and6tointerpolate,andbeyondthesevaluestoextrapolate.

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Using the ti-nspire CAs And ti-nspire hAndheldsGraphing Sinusoidal FunctionsGraph y 5 sin x.

1. Open a graph.

Type “sin(x)” to the right of f1(x), and press

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

2. Change or view graph settings.

Select File, Settings, Document Settings.

Select Radian, next to Angle, and click on OK .


TI-83/84


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Using the ti-nspire CAs And ti-nspire hAndheldsPerforming a Sinusoidal RegressionThe following table of values shows a city’s average monthly low temperature over a 12-month period.

Month Temperature (°C)

January 210

February 210

March 24

April 1

May 6

June 11

July 14

August 13

September 9

October 4

November 0

December 26

1. Set the calculator to radian mode.

Press , and scroll to 5. Settings, 2: Settings,

2: Graphs and Geometry.

Set Graphing Angle to Radian, and click on OK .

Press , and scroll to 5. Settings, 2: Settings,

1: General.

Set Graphing Angle to Radian, and click on OK .


2. Set up column names.

To enter the data on page 35 in the Lists and Spreadsheet application, begin by labelling column A “month” and column B “temperature.”

3. Enter the data.

Enter the data from the table in column A(month) and column B(temperature).

Change the months to numbers, where January 5 1 and December 5 12.

4. Create a scatter plot.

Open a new page (graph).

Press , and scroll to 3: Graph Type, 4: Scatter Plot.

Enter the variable names in the x and y fields as “month” and “temperature,” respectively.

Adjust the window settings to display the entire graph.


5.Performasinusoidalregression.

Movetoablankcellinthethirdcolumnofthetable.

Press ,andscrollto4.Statistics,1.StatCalculations,

C:SinusoidalRegression.

Select“month”fortheXListand“temperature”fortheYList.

Type“f 2”inSaveRegEqnto,andtype“8”inIterations.

Press OK .

Thesinusoidalregressionfunctionappearsinthecellstotherightofthedata.

6.Graphtheregressionequation.

Returntothescreenwiththescatterplot.

Press ,andscrollto3:GraphType,1:Function.

Selectf 2(x)5atthebottomofthescreen,whichshouldshowthequadraticregressionequation,andpress

Y= WINDOW ZOOM

2nd MODE DEL


MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

.

Thegraphandtheregressionequationappearonthescreen.

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USING THE TI-Nspire CAS AND TI-Nspire HANDHELDS · 2013. 5. 13. · USING THE TI-Nspire CAS AND TI-Nspire HANDHELDS Adjusting the Number of Digits Displayed To determine the lower