12.4 Notes for the ti-83, 83+, 84 calculator  (Page 3/3)

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To see the regression graph:

1. Access the equation menu. The regression equation will be put into Y1.

2. Access the vars menu and navigate to <5: Statistics>

,

3. Navigate to <EQ> .
4. <1: RegEQ> contains the regression equation which will be entered in Y1.

5. Press . The regression line will be superimposed over scatter plot.

To see the residuals and use them to calculate the critical point for an outlier:

1. Access the list. RESID will be an item on the menu. Navigate to it.

, [LIST] , <RESID>

2. Confirm twice to view the list of residuals. Use the arrows to select them.

,

3. The critical point for an outlier is: $1.9V\frac{\mathrm{SSE}}{n-2}$ where:
• $n$ = number of pairs of data
• $\mathrm{SSE}$ = sum of the squared errors
• $\sum \mathrm{residual}^{2}$
4. Store the residuals in [L3] .

, , [L3] ,

5. Calculate the $\frac{\mathrm{\left(residual\right)}^{2}}{n-2}$ . Note that $n-2=8$

, [L3] , , ,

6. Store this value in [L4] .

, , [L4] ,

7. Calculate the critical value using the equation above.

, , , , , [V] , , [LIST] , , , , [L4] , , ,

8. Verify that the calculator displays: 7.642669563. This is the critical value.
9. Compare the absolute value of each residual value in [L3] to 7.64 . If the absolute value is greater than 7.64, then the (x, y) corresponding point is an outlier. In this case, none of the points is an outlier.

To obtain estimates of y for various x-values:

There are various ways to determine estimates for "y". One way is to substitute values for "x" in the equation. Another way is to use the on the graph of the regression line.

Distributions

Access DISTR (for "Distributions").

For technical assistance, visit the Texas Instruments website at (External Link) and enter your calculator model into the "search" box.

Binomial distribution

• binompdf(n,p,x) corresponds to P(X = x)
• binomcdf(n,p,x) corresponds to P(X ≤ x)
• To see a list of all probabilities for x: 0, 1, . . . , n, leave off the " x " parameter.

Poisson distribution

• poissonpdf(λ,x) corresponds to P(X = x)
• poissoncdf(λ,x) corresponds to P(X ≤ x)

Continuous distributions (general)

• $()$ uses the value -1EE99 for left bound
•  uses the value 1EE99 for right bound

Normal distribution

• normalpdf(x,μ,σ) yields a probability density function value (only useful to plot the normal curve, in which case " x " is the variable)
• normalcdf(left bound, right bound, μ,σ) corresponds to P(left bound<X<right bound)
• normalcdf(left bound, right bound) corresponds to P(left bound<Z<right bound) - standard normal
• invNorm(p,μ,σ) yields the critical value, k: P(X<k) = p
• invNorm(p) yields the critical value, k: P(Z<k) = p for the standard normal

Student-t distribution

• tpdf(x,df) yields the probability density function value (only useful to plot the student-t curve, in which case " x " is the variable)
• tcdf(left bound, right bound, df) corresponds to P(left bound<t<right bound)

Chi-square distribution

• Χ 2 pdf(x,df) yields the probability density function value (only useful to plot the chi 2 curve, in which case " x " is the variable)
• Χ 2 cdf(left bound, right bound, df) corresponds to P(left bound<Χ 2 <right bound)

F distribution

• Fpdf(x,dfnum,dfdenom) yields the probability density function value (only useful to plot the F curve, in which case " x " is the variable)
• Fcdf(left bound,right bound,dfnum,dfdenom) corresponds to P(left bound<F<right bound)

Tests and confidence intervals

Access STAT and TESTS .

For the Confidence Intervals and Hypothesis Tests, you may enter the data into the appropriate lists and press DATA to have the calculator find the sample means and standard deviations. Or, you may enter the sample means and sample standard deviations directly by pressing STAT once in the appropriate tests.

Confidence intervals

• ZInterval is the confidence interval for mean when σ is known
• TInterval is the confidence interval for mean when σ is unknown; s estimates σ.
• 1-PropZInt is the confidence interval for proportion
The confidence levels should be given as percents (ex. enter " 95 " or " .95 " for a 95% confidence level).

Hypothesis tests

• Z-Test is the hypothesis test for single mean when σ is known
• T-Test is the hypothesis test for single mean when σ is unknown; s estimates σ.
• 2-SampZTest is the hypothesis test for 2 independent means when both σ's are known
• 2-SampTTest is the hypothesis test for 2 independent means when both σ's are unknown
• 1-PropZTest is the hypothesis test for single proportion.
• 2-PropZTest is the hypothesis test for 2 proportions.
• Χ 2 -Test is the hypothesis test for independence.
• Χ 2 GOF-Test is the hypothesis test for goodness-of-fit (TI-84+ only).
• LinRegTTEST is the hypothesis test for Linear Regression (TI-84+ only).
Input the null hypothesis value in the row below " Inpt ." For a test of a single mean, " μ∅ " represents the null hypothesis. For a test of a single proportion, " p∅ " represents the null hypothesis. Enter the alternate hypothesis on the bottom row.

Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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