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Sulock Math
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Добавлен 31 авг 2011
Educational videos for Introduction to Statistics and College Algebra. All content created by Michael Sulock.
Introduction to Trigonometry: Measuring Angles Inscribed in a Circle in Both Radians and Degrees
This video looks at angles in standard position inscribed in a circle. It discusses measuring angles in both degrees and radians. The main angles of a standard unit circle are discussed (ones that can be created with the special triangles 45 - 45 - 90 and 30 - 60 - 90.
Просмотров: 19
Видео
Using R to Estimate Probability Through Simulation
Просмотров 725Год назад
Empirical estimation is an alternative method to using theory. The idea: Repeat a random processes many many times. The proportion of times that your event happened in these trials is an empirical estimate of the probability of the event. The specific question addressed in this video: (The dice used are fair 6-sided dice) ``You pay $10 and roll a die. If you get a 6 , you win $50. If not, you g...
The Geometric Distribution: Expected Value, Probabilities with R using dgeom () and pgeom()
Просмотров 284Год назад
The Geometric Distribution is a probability model for the count of independent and identical Bernoulli trials necessary to achieve the first `success'. This video assumes an understanding of a bernoulli trial. It explains the Geometric Distribution and provides examples calculating geometric probabilities `by hand' and with the R functions dgeom() and pgeom(). 00:00 Introduction 00:51 Intro Coi...
An Introduction to R Programming
Просмотров 2002 года назад
Covers writing R code within R Studio. General syntax and a few functions . 00:00 Into 01:00 Executing a command in the console 01:20 Spacing doesn't matter 01:30 R is case sensitive 02:10 Writing code in an R script 03:30 Working with a numeric variable 05:05 Creating an object in R with assignment 06:58 Don't save the workspace! 08:50 Using the built-in help 10:35 Working with a dataset 12:35...
An Introduction to R Markdown
Просмотров 1122 года назад
Covers the basics of content creation with R Markdown , using R studio. 00:00 Intro 00:20 Opening a new R Markdown File 01:03 Overview of R Markdown 01:25 A Code Chunk 06:01 Setting global options for entire document 07:01 Setting options for a single code chunk 08:44 Option for changing plot size 09:49 Formatting text in markdown 10:20 Making a new code chunk 11:45 Running code within a chunk ...
Loading a CSV File Into R Studio - Setting the Working Directory
Просмотров 16 тыс.2 года назад
Within the context of R studio, how to load the most common data type into R, a comma separated value (.csv) file. 00:00 Intro 00:20 Obtaining a dataset 00:40 The read.csv() function 01:45 Temporarily changing the working directory 04:20 Permanently changing the working directory 05:40 Using quotation marks
A Basic Introduction to R Studio
Просмотров 1302 года назад
A very basic "how to" for R studio. 00:00 Intro 00:20 Download and Install 01:00 The Console Window 02:30 R Script Window 04:44 Plot/Help Window 07:50 The Environment Window
How to Calculate the Standard Deviation by Hand....An Example with Data
Просмотров 953 года назад
The video covers the formula and procedure for calculating the sample standard deviation of a dataset by hand 00:00 Introduction 00:19 Formula 01:55 Example with a Small Dataset 04:25 Summary
The Sampling Distribution of P-hat, The Sample Proportion. Includes Example problems.
Просмотров 26 тыс.4 года назад
What the sampling distribution of p-hat is. How you use the Distribution of p-hat. How you find a z-score for p-hat. How you find a probability for p-hat. 00:00 Introduction 00:28 Finding p-hat, the sample proportion 01:18 The sample proportion varies from sample to sample 02:10 p-hat is a variable! 02:24 the Central Limit Theorem 03:11 The Sampling Distribution of p-hat 07:18 The expected valu...
Type 1 and Type 2 Errors | COVID-19 Antibody Testing Theory | False Positive | False Negative
Просмотров 1,2 тыс.4 года назад
This video explains what Type 1 Errors and Type 2 Errors are, as well as the ways to make a correct decision for a statistical hypothesis test. It uses examples including COVID-19 Antibody testing.
Hypothesis Test for a Mean | One-Sided T-Test | "Greater Than" | FICO Scores | P-Value Method
Просмотров 3454 года назад
This covers a hypothesis test for "Do individuals with high-incomes have higher FICO scores?". The test statistic follows a t-distribution (Population Standard Deviation is unknown). Turning on Subtitles is Recommended.... The p-value is calculated with a Texas-Instruments calculator using the tcdf() function, but other methods can be substituted.
Hypothesis Test for a Mean | P-Value Method | One-Sided T-Test | "Less than"
Просмотров 1994 года назад
This is an edited video of a live WebEx class going through the process of conducting a hypothesis test for a single mean of a population. The claim that is evaluated is a "less than" alternative hypothesis.
Hypothesis Test Explained | P-Value Method | Population Proportion |
Просмотров 4354 года назад
This video covers the entire process of evaluating a hypothesis for the proportion of a population using the p-value method. I recommend turning captions on!
Confidence Interval for A Population Mean Explained | T-Interval (population st. dev. unknown)
Просмотров 2114 года назад
How to make a confidence interval for the mean of a population. Since the population mean and standard deviation are unknown a T-Distribution is used. We use 'invt()' from a Texas Instruments calculator, but other software, internet applet, or a t-table can be substituted.
Confidence Interval for a Proportion | All You Need to Know | Invnorm TI-83 Ti-84
Просмотров 4434 года назад
This is an edited video of the first day I taught on WebEx. It covers making a Confidence Interval for a Population Proportion. Almost every necessary detail is covered including creating the interval and interpreting what it means. The invnorm() function from a Texas Instruments Calculator is used. My two other videos making Confidence Intervals for Population Proportions Short ruclips.net/vid...
How to Make a Confidence Interval for a Population Proportion (90% and 95%) - By Hand
Просмотров 7714 года назад
How to Make a Confidence Interval for a Population Proportion (90% and 95%) - By Hand
How to Make a Confidence Interval for a Population Mean (90% and 95%) - T-Distribution
Просмотров 5414 года назад
How to Make a Confidence Interval for a Population Mean (90% and 95%) - T-Distribution
Probability Examples: "and", "or", "given", independence, complement, Binomial Distribution (1 | 3)
Просмотров 1414 года назад
Probability Examples: "and", "or", "given", independence, complement, Binomial Distribution (1 | 3)
Probability Examples: Sample Space, Probability Model, Binomial, Two-way Table, Conditional| 2 of 3
Просмотров 1694 года назад
Probability Examples: Sample Space, Probability Model, Binomial, Two-way Table, Conditional| 2 of 3
Probability Examples: Binomial, Discrete, Prob Dist, Expected Value, Mean, P(at least one) (3 of 3)
Просмотров 6634 года назад
Probability Examples: Binomial, Discrete, Prob Dist, Expected Value, Mean, P(at least one) (3 of 3)
Find the Equation of a Line Through 2 Points. Slope-Intercept Form. y=mx+b. "How to"
Просмотров 2594 года назад
Find the Equation of a Line Through 2 Points. Slope-Intercept Form. y=mx b. "How to"
Find the Exponential Equation Through 2 Points f(x) = ab^x How to
Просмотров 2,2 тыс.4 года назад
Find the Exponential Equation Through 2 Points f(x) = ab^x How to
Find Exponential Equation Through 2 Points -Ti-83/Ti-84- Exponential Regression f(x)=ab^x "How to"
Просмотров 11 тыс.5 лет назад
Find Exponential Equation Through 2 Points -Ti-83/Ti-84- Exponential Regression f(x)=ab^x "How to"
Hypothesis Test for a Population Mean. P-Value Method. Two-Sided T-Test w/ Pop St Dev. Unknown
Просмотров 3,9 тыс.5 лет назад
Hypothesis Test for a Population Mean. P-Value Method. Two-Sided T-Test w/ Pop St Dev. Unknown
Hypothesis Test Using P-Value Method for a Population Proportion: One-sided Z-Test
Просмотров 3,8 тыс.5 лет назад
Hypothesis Test Using P-Value Method for a Population Proportion: One-sided Z-Test
Exponential Population Growth Equation w/ 2 Points. f(x)=ab^x. "Exponential Regression"
Просмотров 1,1 тыс.5 лет назад
Exponential Population Growth Equation w/ 2 Points. f(x)=ab^x. "Exponential Regression"
Solving Logarithmic Equations | 3 Examples |
Просмотров 1195 лет назад
Solving Logarithmic Equations | 3 Examples |
Solving Exponential Equations Using Logarithms | 3 Examples | log()
Просмотров 1585 лет назад
Solving Exponential Equations Using Logarithms | 3 Examples | log()
Find a Polynomial Function From a Graph w/ Least Possible Degree | Linear Factors and Multiplicity
Просмотров 27 тыс.5 лет назад
Find a Polynomial Function From a Graph w/ Least Possible Degree | Linear Factors and Multiplicity
Find the Inverse Function of f(x) = 6-x^(1/3)
Просмотров 1,2 тыс.5 лет назад
Find the Inverse Function of f(x) = 6-x^(1/3)
thank you many times
great video, thank you!!!
7:24 in the video, isn’t it valuable to say 10 percent? Why 60 percent?
"Expected Value" has a definition for Random Variables that doesn't mean "valuable". en.wikipedia.org/wiki/Expected_value
Loved this video, thanks for a crystal clear explanation.
Thanks so much for taking the time to leave a comment. Always appreciated. Glad you got something from the video!
you do not know how much this video means to me. I was struggling so badly with R on my macbook and I was starting to think I couldn't use it for school anymore. Thank you so so so so so so much. I am sharing this info with a classmate who is also struggling with her macbook and r
What a nice thing to do to take the time and write that. You absolutely made my day. Glad the video was helpful!
Thank you for this, I was struggling with R not reading my csv files for hours today, this video solved my problem in 5 minutes thank you!!
You're so welcome. Thanks for letting me know the video was helpful. Always appreciated
studying for finals and i find myself hating stats so much. but this is so cute. thank you so much for this gem.
Thank you so much for taking the time to comment. I am glad the video was helpful! Good luck with your studies.
Thank you !!!
thank youu for this explanation
U are super good teacher, thank or u
Thank you! All the best to you. <3
Thank you for making this ❤❤
You're very welcome. Glad it was helpful and I appreciate you taking the time to comment.
In the part 20:12 where did you get the upper value 1000? Im confused please help me 🙏
That "upper" value in a ti-83/84 can be any "big" number. (`big' here means many standard deviations above the mean). You can experiment and see you'll get the same result using numbers like 1000, 10000, 100000, for the "upper".
It was intuitive and awesome. Thank u
Thank you so much. I appreciate knowing it was helpful.
Does it mean we should to take larger n for cases where the SD is higher like skyscrapers and smaller n where SD is not higher like heights of people?
I think that somewhat depends on how precise you want to be. It is probable you don't care about the heights of tall things to the same degree of accuracy as the height of small things.
This sampling is with or without replacement to find p hat? Thank u
If a population is large, sampling without replacement is basically the same as sampling with replacement.
@@SulockMath 👍
Nice one :)
Simple and works. Thanks
Glad it was helpful. Thanks for the comment.
Tysm
you're welcome.
You made it a lot easier to understand! Thanks so much!
You're so welcome. I appreciate the comment and glad the video was helpful for you.
Thank you so much
Thanks for the comment. Happy New Year!
The error message shown at 03:28 happened because I tried to run > sum(games)... before the object called `games' existed. In other words..... > games <- sample(....) needed to be ran BEFORE > sum(games) Otherwise there is nothing to sum. That's what that error message is referring to ...Object 'games' not found. An error like that is caused from trying to access an object that doesn't exist. Additionally: A "behind the scenes" idea that is used in analyzing the results is the logical TRUE has a numeric value of 1 in R (and FALSE is 0). Which is why sum() and mean() work the way they do.
After I made this video I realized (with the help of a student) you don't need a computer to quickly find the probability of something like A = "The first success happens before the 10th trial".... .Because that is the complement of "at least 10 trials are required to see the first success" which is the same event as "the first 9 trials are failures" So P(A) = 1- P("first 9 trials are failures") = 1-P(failure)^9.
this was amazing tysm
Thank you for the comment! Very glad it was helpful.
Thank you. This was extremely helpful.
glad to hear that. I appreciate letting me know.
Sir, I can tell you are a real teacher and a great one. This video was awesome!🥰
Your channel is amazing, I learned a lot and explained everything very easily. I just subscribed! thank you
Thank you so much for the kind words. Made my day!
I struggled with this issue all day today, and after watching 3 minutes of your video, I can now say I fixed my error. Thank you so much, this was so helpful!!!
thanks so much for taking the time to let me know that. glad the video was helpful for you! lol at that username.
Ready for my quiz. Thank you!
Awesome. Hope it went well
Thank you! Very helpful as most of what I was finding was for a PC.
Glad it was helpful! I appreciate the feedback.
Thank you so much, it's very good !
You're very welcome. Thank you for the comment.
thank you very much
You are very welcome. Thank you for the comment.
Literally you are a king
lol. Preesh bro.
Great content!😁
Thanks! 😁
so useful! thanks so much.
Glad it was helpful. Thanks for the comment
the legend thank you
Thanks for the comment dude. Always appreciated
Thank you so much!!!!!!! 🙌🙌
Glad that the video was helpful to you. I appreciate the comment very much. All the best.
Thank you for the clear-cut explanation. ※ memo Parameter : 모집단 內 특정 群의 숫자. = specific numerical value (quantity) of a certain group in population,
You're welcome! Thank you for the comment
Bro you saved my life
Best comment everrrr
THIS HELPED ME SO MUCH THANK YOU SO MUCH :DDDD
You're so welcome. Thank you for the comment. Much appreciated
Should be used as a standard for videos on Stats
Thank you! Very kind thing to say.
Very very good. The best I have seen to date
Gosh! Thank you so much. That is quite a compliment. All the best.
I like your definitions that "are not in the book". You bring it down to earth for some of us that grapple with these concepts. Much much thanks.
Thank you for taking the time to comment.
I might actually pass Stats this time around with the help of your videos. You explain the concepts so well to someone like me who really has a phobia with anything to do with math. Much respect and thanks to you.
Thank you so much for the comment. Glad you got something out of the video. Stats classes can be tough. Hope it worked out ok.
This was very helpful, thank you
Very glad you got something out of the video. Thanks so much for the comment.
Excellent video. Thank you for providing the content.
Thanks for taking the time to leave a comment Brandon. Glad something was helpful to you.
Did you record this 10 feet away from your mic???
No.
@@SulockMath yes you did
@@bimg1915 wrong
Which book is this from? I'm looking for something understandable
It's from "Fundamentals of Statistics" with author Michael Sullivan. You can buy the 4th edition of the book used off of Amazon for less than 10 dollars.
@@SulockMath thanks
This was beautiful. Your channel is a hidden gem.
Goodness! Thank you so much. I really appreciate your kind words. All the best.
Wonderful Video. I liked how you made the connections on why this concept matters in real world situations and how it relates to other concepts; great for understanding the bigger picture.
thank you for the thoughtful comment! Glad you were able to get something out of the video.
Thank you so much!
You're very welcome. Glad the video was helpful!