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Introduction to residuals and least-squares regression | AP Statistics | Khan Academy

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Regression lines as a way to quantify a linear trend. Residuals at a point as the difference between the actual y value at a point and the estimated y value from the regression line given the x coordinate of that point.
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Опубликовано:

25 авг 2024

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Комментарии : 38

@maheshmathe4393 6 лет назад

These are really simple to understand videos and I love to watch them any chance I get. I always feel like I am getting worth my time.

@ursamahan-worlds5726 3 года назад

Where did the 14 over 3 come from?

@emeraldkillr803 Год назад

Slope it's the the shops so the formula is Y-hat=a+bx a=Y-intercept bx=Slope

@ginkgoginkgo2790 9 месяцев назад

That’s the gradient. y2-y1/x2-x1

@hassanhijazi4757 4 года назад

The take away message: "The way that we calculate this regression lines is all about minimizing the square of these residuals". Of note, residual is the difference between the actual value (y) and the estimated value (ŷ).

@sitifathimah6849 3 года назад

Where did you get the equation for -140 and 14/3?

@patricktan98 2 года назад

take 2 points of the linear regression and calculate its slope (gradient) which is 14/3 but thats not the main purpose of this video so he just gave the answer directly and once u have the slope (gradient), substitute x = 0 into your linear equation to find the estimated y intercept which is -140

@SuperOnlyP 2 года назад

a form of line : y = m*x + b m: is the slope or how steep the line is b: where the line cut y-intercept the steepnesss as rise/run: x-intercept at 30. Take 30 + 3 = 33 as run and go up 14 as the rise => get the triangle with the hypotenuse as the steepness the line will cut y at : -140 as y-intercept This is just an example to illustrate the idea the best fit line which will have the least residuals or sum of errors. By giving us the anwser and compare each data points to the best estimated line If you go further to the course, he will show you the way to find m , b or 14/3 , -140

@keganm2888 3 года назад

WHERE DID THE -140 COME FROM AND WHERE DID THE 14 OVER 3 COME FROM???????????/ GIVE ME ANSWERS

@Rifraf94 3 года назад

Asking myself the same questions.

@Rifraf94 3 года назад

I don't know how to get the value-based off the video but here is the definition of the y intercept,. y intercept is the value of y when x = 0. For the line y = a + bx, y-intercept = a. If you look at the line it does look like -140 would where the y-intercept is. How he got it though, I have no idea.

@rg7380 3 года назад

I have a doubt, how is the y' value is -140

@egor.okhterov 6 лет назад

We minimize squared error for two reasons: 1. Square is always positive. We are only interested in absolute value of errors in each point. 2. Derivative of x^2 can be easily calculated: (x^2)' = 2x.

@hugdetta 3 года назад

This is actually fun.

@livinindubai 6 лет назад

Now I know what a linear regression is 😃

@legatha4334 2 года назад

Khan Academy really prepares everything for my ap course...😅

@goatmodegaming 8 месяцев назад

Bro I got a 2 on the AP Calculus exam but I am for sure getting a 5 on this.

@TrueMose 4 месяца назад

bro im probably gonna be the opposite 😭😭

@MsDharma69 Год назад

Are we just supposed to automatically know where the "-140 +14/3" came from? Pretty sure that little bit of info would be helpful.

@aprilgarcia5589 10 месяцев назад

no fr i have no idea where that -140 and 14/3 came from

@R_HeavyBones 6 лет назад

your videos are very nice , thank you a lot for the extra knowledge

@jenniferaucoin126 Год назад

Where did -140 +14/3 come from? I am confused.

@Dan-wq8id 3 года назад

Perfect thanks!

@kawaiiobama8079 6 лет назад

cool its just that i got my exam the day after tomorrow. too bad there isn't more content on this topic. 😅

@lukemichael6906 3 года назад

how did it go?

@user-dg3tm4kw5i 7 месяцев назад

still didnt get it

@saurabhkashyap6758 6 лет назад

Too good man...

@rachelsusan8188 5 месяцев назад

This is exactly why I hate math. Math teachers always just expect you to know certain aspects and don’t explain anything thoroughly. Where in the heck did the -140 and 14/3 come from??? And does anyone know where might be a better place to start learning if I’m having trouble understanding the equations??

@oddwork2183 6 лет назад

Great

@shankarkarki2454 2 года назад

how to get the complete playlist? Can't find it.

@turbocpt1 2 года назад

The material you provide is "ok". Some things could have been improved such as not saying the Y for this particular intercept is -140. Instead show how you got -140.

@maheshmathe4393 6 лет назад

What device do you use to make these videos?