A summary of the UU course 'statistics', containing information on all important statistics subjects, like hypothesis testing, the z-value, the mean, standard deviation, variance, regressions, and significance tests.
Setup
Voor tutorial woensdag: opdrachten voor de woensdag tutorial maken en nakijken
en door de theorie bladeren en besluiten of ik naar de tutorial zal gaan
Woensdag: tutorial niet verplicht want ik ben repeater, dus ik kan elke groep
joinen die ik wil
Na tutorial woensdag, voor tutorial vrijdag: opdrachten voor de vrijdag tutorial
maken en nakijken en door de theorie bladeren en besluiten of ik naar de tutorial zal
gaan
Vrijdag: tutorial niet verplicht want ik ben repeater, dus ik kan elke groep joinen
die ik wil
Week 8
Nog te maken opdrachten: 11.27 (e-f), 11.28, 11.29, 11.31, 11.33, 11.35(a), 11.37, 11.41,
11.45, 11.83(a-e), 11.93, 11.95(a&b)
, Week 7
The least squares regression line is y-hat = b0 + b1x
b1 being the slope of the line = Cov (x, y) / s2x
b0 being the y-intercept = y-bar – b1x-bar
The least squares procedure estimates b0 and b1 with the lowest sum of the squared
residuals.
b1 = (sum of (xi – x)(yi – y)) / (sum of (xi – x)2) = rxy * sy / sx
The difference between the residual and the error term is that the error term also takes b 0
and b1 into account.
SST = total variability in a regression analysis = SSR + SSE = sum of (y i – y-bar)2
SSE = sum of e2i
SSR = b2i * sum of (xi – x-bar)2
R2 = SSR / SST = 1 – SSE / SST = r2xy. This varies from 0 to 1, the higher the value, the better
the regression.
Estimation of the model error variance = SSE / (n-2)
Say r = sample correlation coefficient
H0 rho = 0, reject if:
For H1 rho > 0 (r * wortel (n-2)) / wortel (1 – r2) > tn-2, a
For H1 rho < 0 (r * wortel (n-2)) / wortel (1 – r2) < -tn-2, a
For H1 rho =not 0 (r * wortel (n-2)) / wortel (1 – r2)
is either smaller than -tn-2, a/2 or greater than tn-2, a/2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller simchakruithof. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $6.37. You're not tied to anything after your purchase.
