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To deselect equations:

  1. Access the list of equations.
    Y= key

  2. Select each equal sign (=).
    arrow down key arrow right key enter key

  3. Continue, until all equations are deselected.

To clear equations:

  1. Access the list of equations.
    Y= key

  2. Use the arrow keys to navigate to the right of each equal sign (=) and clear them.
    arrow down key arrow right key clear key

  3. Repeat until all equations are deleted.

To draw default histogram:

  1. Access the ZOOM menu.
    ZOOM key

  2. Select <9:ZoomStat> .
    number 9 key

  3. The histogram will show with a window automatically set.

To draw custom histogram:

  1. Access window mode to set the graph parameters.
    window key
    • X min = –2.5
    • X max = 3.5
    • X s c l = 1 (width of bars)
    • Y min = 0
    • Y max = 10
    • Y s c l = 1 (spacing of tick marks on y -axis)
    • X r e s = 1
  2. Access graphing mode to see the histogram.
    graph key

To draw box plots:

  1. Access graphing mode.
    2nd key , [STAT PLOT]

  2. Select <1:Plot 1> to access the first graph.
    enter key

  3. Use the arrows to select <ON> and turn on Plot 1.
    enter key

  4. Use the arrows to select the box plot picture and enable it.
    enter key

  5. Use the arrows to navigate to <Xlist> .
  6. If "L1" is not selected, select it.
    2nd key , [L1] , enter key

  7. Use the arrows to navigate to <Freq> .
  8. Indicate that the frequencies are in [L2] .
    2nd key , [L2] , enter key

  9. Go back to access other graphs.
    2nd key , [STAT PLOT]

  10. Be sure to deselect or clear all equations before graphing using the method mentioned above.
  11. View the box plot.
    graph key , [STAT PLOT]

Linear regression

Sample data

The following data is real. The percent of declared ethnic minority students at De Anza College for selected years from 1970–1995 was:

The independent variable is "Year," while the independent variable is "Student Ethnic Minority Percent."
Year Student Ethnic Minority Percentage
1970 14.13
1973 12.27
1976 14.08
1979 18.16
1982 27.64
1983 28.72
1986 31.86
1989 33.14
1992 45.37
1995 53.1

Student ethnic minority percentage

This is a scatterplot for the data provided. Year is plotted on the horizontal axis and percent is plotted on the vertical axis. The points show a strong, curved, upward trend.
By hand, verify the scatterplot above.

Note

The TI-83 has a built-in linear regression feature, which allows the data to be edited.The x -values will be in [L1] ; the y -values in [L2] .

To enter data and do linear regression:

  1. ON Turns calculator on.
    on key

  2. Before accessing this program, be sure to turn off all plots.
    • Access graphing mode.
      2nd key , [STAT PLOT]

    • Turn off all plots.
      number 4 key , enter key

  3. Round to three decimal places. To do so:
    • Access the mode menu.
      mode key , [STAT PLOT]

    • Navigate to <Float> and then to the right to <3> .
      arrow down key arrow right key

    • All numbers will be rounded to three decimal places until changed.
      enter key

  4. Enter statistics mode and clear lists [L1] and [L2] , as describe previously.
    stat key , number 4 key

  5. Enter editing mode to insert values for x and y .
    stat key , enter key

  6. Enter each value. Press enter key to continue.

To display the correlation coefficient:

  1. Access the catalog.
    2nd key , [CATALOG]

  2. Arrow down and select <DiagnosticOn>
    arrow down key ... , enter key , enter key

  3. r and r 2 will be displayed during regression calculations.
  4. Access linear regression.
    stat key arrow right key

  5. Select the form of y = a + bx .
    number 8 key , enter key


The display will show:

Linreg

  • y = a + bx
  • a = –3176.909
  • b = 1.617
  • r = 2 0.924
  • r = 0.961


This means the Line of Best Fit (Least Squares Line) is:

  • y = –3176.909 + 1.617 x
  • Percent = –3176.909 + 1.617 (year #)
The correlation coefficient r = 0.961

To see the scatter plot:

  1. Access graphing mode.
    2nd key , [STAT PLOT]

  2. Select <1:plot 1> To access plotting - first graph.
    enter key

  3. Navigate and select <ON> to turn on Plot 1.
    <ON> enter key

  4. Navigate to the first picture.
  5. Select the scatter plot.
    enter key

  6. Navigate to <Xlist> .
  7. If [L1] is not selected, press 2nd key , [L1] to select it.
  8. Confirm that the data values are in [L1] .
    <ON> enter key

  9. Navigate to <Ylist> .
  10. Select that the frequencies are in [L2] .
    2nd key , [L2] , enter key

  11. Go back to access other graphs.
    2nd key , [STAT PLOT]

  12. Use the arrows to turn off the remaining plots.
  13. Access window mode to set the graph parameters.
    window key
    • X min = 1970
    • X max = 2000
    • X s c l = 10 (spacing of tick marks on x -axis)
    • Y min = 0.05
    • Y max = 60
    • Y s c l = 10 (spacing of tick marks on y -axis)
    • X r e s = 1
  14. Be sure to deselect or clear all equations before graphing, using the instructions above.
  15. Press the graph button to see the scatter plot. graph key

Questions & Answers

what is statistics
Bhavani Reply
statistics is the beach of mathematics which deals with collection ,organisation, presentation, analysis and interpretation of numerical data
Saeed
oh but interpretation of data, like what and how? 🤔
Bhavani
interpretation: Think in a way that you have given a company year turnover and you have a record of 100years and data set is like (Year,Turnover). Now with that data you can interpret many thing how was the company growth, when were the losses and other things
Akash
interpretation: it is a process in which we make a decision about a population on the basis of sample data . example: if we want to interpret the average income of employees for upcoming year so we have to interpret the income of employees on the basis of previous year's income of those employees
Saeed
thank you saeed, Akash. I understood.
Bhavani
Finding correlation and regression
Langat Reply
explain statistics whether it is a science or arts or both
ratnapriya Reply
I would say art is a creation. A chef is an artist. They create new dishes just like the painters. I believe one who creates something new, is an artist. So, Statistics is also an art, if you know it, you can create some new formula, theory, law, etcetera. It is also Science. So yes, it is both.
Rohan
how do you use the normal distribution table when testing the hypothesis
Davia
I am sorry Davia, I cannot help you with that.
Rohan
percentages of all the possible outcomes are measured. This is so simple and bases on the questionnaire or interview schedule. It's just measuring the probability chances of high %age of the either part of the hypothesis ... dependent ..independent. data is classified on the basis of respondents
saifuddin
what percent of the students would be expected to score above 95?
Peachy Reply
inferential statistics is what?
Seyi Reply
in which we make infrences (hypothsis)
asad
surpose a data set of 2,3,5,6,1,4 are given find median
lucy Reply
fastest finger please
lucy
Mean (average) 4... Median (middle term) 3.5.. Mode (frequency) every element in a set has 1 frequrncy
Akash
i arrange the data set in ascending order. that is, 1,2,3,4,5,6. then find the data set that falls in the middle. in this case, 3 & 4 fall in the middle. you then sum and obtain the average. that is, (3+4)/2=3.5. therefore, 3.5 is the median.
Gbenga
both of you are correct.
Joseph
hello guys
Abasikponke
thanks
lucy
great to be here
King
how does a line graph look
King
hi
Davia
hello
lucy
pls who knows how line graph look like
King
line graph usually have a straight line running through axis
Dike
am new here anyone willing to orient me?
Timothy
find the media of the following numbers 61,64,67,70,73
lucy Reply
my body pls
lucy
67
Benmike
what happen to your body@hana
Benmike
what is the percentile for the set of data in the class C and frequency F(c,f)given by (9.3-9.7,2) (9.8-10.2,5) (10.3-10.7,12) (10.8-11.2,17) (11.3-11.7,14) (11.8-12.2,6) (12.3-12.7,3) (12.8-13.2,1)
Chinwendu Reply
how to find median
Hrishe Reply
arrange ascending and desending order than the mid value is Median
rajendra
ok
Hrishe
what if it is a group data
Oloyede
mean/ medium/ mode
Michelle
n\2 and n+1\2
asad
An operational manager at a manufacturing company is interested in the level of satisfaction of computer buyers. The manager has developed a satisfaction scale of 1-10 to mark their level of understanding with the company.What is the population of the interest?
thomas Reply
Any clues
Virtual
how to use grouped and ungrouped data
Hassan Reply
Just a test from gplay
Lucy Reply
how come 5.67
Mano Reply
by dividing 11.37 on 2
saifuddin
by dividing 11.34 on 2
saifuddin
what is index number?
vinayak
What is the differences between quota an lottery system of sampling
EGBE
What are the are the characteristics that are critically expedients in selecting the sample size
EGBE
fit a binomial distribution for the following data and test the goodness of fit x: 0 1 2 3 4 5 6 f: 5 18 28 12 7 6 4
Mikki Reply
solution
Mano
solve the question please
Mano
can some please help solve so that we learn some
Simonsakala
It is a square chi
Nelson
But can't be a binomial because, the x numbers are 0 to 6, instead those would be "0" or "1" in a straight way
Nelson
You can do a chi-square test, but the assumption has to be a normal distribution, and the last f's number need to be "64"
Nelson
sorry the last f's numbers : "6 and 4" which are the observed values for 5 and 6 (expected values)
Nelson
hi
rajendra
can't understand basic of statistics ..
rajendra
Sorry I see my mistake, we have to calculate the expected values
Nelson
So we need this equation: P= (X=x)=(n to x) p^x(1-p)^n-x
Nelson
why it is not possible brother
ibrar
were n= 2 ( binomial) x= number of makes (0 to 6) and p= probability, could be 0.8.
Nelson
so after we calculate the expected values for each observed value (f) we do the chi-square. x^2=summatory(observed-expected)^2 / expected and compare with x^2 in table with 0.8
Nelson
tomorrow I'll post the answer, I'm so tired today, sorry for my mistake in the first messages.
Nelson
It is possible, sorry for my mistake
Nelson
two trader shared investment and buoght Cattle.Mr.Omer bought 255 cows & rented the farm for a period of 32 days. Mr. Ahmed grazed his Cattle for 25 days. Mr. Ahmed's cattle was 180 cows.Together they profited $ 7800. the rent of the farm is $ 3000 so divide the profit per gows/day for grazing day
Mohamed
how to start this book, who is reading thins first time
Nissar Reply
It is my first time reading this book
Qader
Good one
ihsan

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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