Inference on the Slope (The Formulas)

[@doodelay]

I love how you actually describe what EACH term and variable means for an equation and how removing them or adding them effects our final value. If only more math was taught this way. Great example in the video here is how you told us that we use n-2 because we have lost 2 degrees of freedom when estimating our parameters. And then you told us WHICH degrees of freedom we lost, specifically. Man you just don't know how good it feels for the blinders to fall off this way. Thank you, so much and your understanding of things will help us with EVERY OTHER math problem we face in the future.

[@vjjames6995]

Best Stats teacher on youtube.....love it

[@jbstatistics]

+VJ James Thanks!

[@jillanneyoussef5257]

Hate from Egypt

[@Manny123-y3j]

I'm almost done with my MS in statistics and have learned all these things, but I still really enjoy watching your videos here and there as they're always good refreshers and so clearly explained. You're an excellent educator. :)

[@jillanneyoussef5257]

Didn't ask bro

[@renjing]

That is so useful. I have been wondering about why we have to use n-1 in the denominator for the sample standard deviation when approximating the population standard deviation. We proved this mathematically in our courses. But the way that you summarize things up on a higher level is just coooooooooooooooool.

[@jillanneyoussef5257]

Didn't ask bro

[@Cleisthenes2]

Wait isn't the degrees of freedom usually n-1, not n-2?

[@kunalbhaisare2473]

OMG so much underrated channel... Best Videos if u gone through this topic reading once :)

[@jbstatistics]

Thanks!

[@jillanneyoussef5257]

Hate from Egypt

[@kimicheng5611]

Gesus! u fvcking life saver.

[@vishnuvardhan-md1ux]

what if the n is too large in the scale of million or billion, do you still be able to use a t table to compute this?

[@jillanneyoussef5257]

Hate from Egypt

[@VioletBird]

thank you !

[@jbstatistics]

You are very welcome!

[@niutailang]

Fantastic

[@jillanneyoussef5257]

Hate from Egypt

[@letseconomics2938]

Why will the beta 1 hat have a distribution? We will get a single value of beta1hat?

[@jbstatistics]

Same idea as for any statistic. Yes, once we get a sample and calculate its value, it'll be a value. Until then it's a theoretical notion that has a distribution (a random variable). If we took a different sample, we'd get a different value. Introduction to the concept of sampling distributions: kzbin.info/www/bejne/kJPaXoyserGml68&ab_channel=jbstatistics

[@letseconomics2938]

@@jbstatistics every different sample will give different values of beta hat1, this will give out beta hat 1 distribution right?

[@jbstatistics]

@@letseconomics2938 That sort of thing, yes. The value of beta_1 hat that we see in any given sample can be thought of as a random sample from that distribution. We use (estimated) characteristics of that distribution in our inference procedures.

[@letseconomics2938]

@@jbstatistics thank you so much for your reply between your videos are really helpful, you earned a subscriber.😊