Summary STA2020F - Week 4 (Regression)

,Week 4




Simple linear Regression
/


-




Cantril ladder & Happiness Index




1


POPULATION SAMPLE


·
entire collection of ·
Subsetofpopulation
Observed



· Numerical descriptor Numerical
· description:Stat
-




parameter · Approx population parameter



statistical inference:

>attemptto reach a conclusion concerning a complete setof

Observations (population), butonly using a subset
there of (sample)

Parameter Statistic

population size N n


mean M it

variance 02 Sh

Standard deviation ⑧ S

, HYPOTHESIS TESTING

> Enables statistical inference

> Involves six-pointplan


STEP 1:Define null hypothesis (HO)


STEP 2:Define alternative hypothesis (H1)


Step 3:Define type I error (prob falsely
of rejecting Ho) or sign.
level a




teststatistic
Step 4:Calculate



Step 5:Find approx. precise p-value (Prob getting
of as
a result or


more extreme observed,
that assuming to is true)

Step itp-valued
6:Conclusion: a, rejectHo.

↳) Otherwise fail to rejectHo.