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Midterm

STAT 100 Study Guide - Midterm Guide: Quartile, Sample Space, Confounding

17 pages141 viewsFall 2018

Department
Statistics
Course Code
STAT 100
Professor
All
Study Guide
Midterm

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Simon Fraser University
STAT 100
Chance and Data Analysis
Winter 2018
Term Test 2
Professor: Gamage Perera
Exam Guide
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Table of content:
- Chapter 13: Normal Distributions
- Chapter 14: Describing Relationships: Scatterplots and Correlation
- Chapter 15: Describing Relationships: Regression, Prediction, and Causation
- Chapter 18: Probability Models
-Chapter 19 and 20: Expected value and Simulation
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Chapter 13: Normal Distributions
Density$curves$
Exploring!a!distribution
oAlways!plot!your!data
§Make!a!stemplot!or!histogram
oLook!for!the!overall!pattern
oCalculate!a!numerical!summary!to!briefly!describe!center!and!variability
oSometimes!the!overall!pattern!of!a!large!number!of!observations!is!very
regular!that!we!can!describe!it!by!a!smooth!curve
§Usually!putting!a!smooth!curve!over!a!histogram
A!density!curve!is!a!curve!that:
oIs!always!on!or!above!the!horizontal!axis
oHas!an!area!of!exactly!1!underneath!it
A!density!curve!describes!the!overall!pattern!of!a!distribution.!The!area!under
the!curve!and!above!any!range!of!values!on!the!horizontal!axis!is!the!proportion
of!all!observations!that!fall!in!that!range
Describing$density$curves$
The!median!of!a!density!curve!is!the!equal-areas!point,!the!point!that!divides!the
area!under!the!curve!in!half
The!mean!of!a!density!curve!is!the!balance!point!at!which!the!curve!would
balance!if!made!of!solid!material
The!median!and!mean!are!the!same!for!a!symmetric!density!curve
The!mean!of!a!skewed!curve!is!pulled!away!from!the!median!in!the!direction!of
the!long!tail
The!mean!and!standard!deviation!computed!by!“x!bar”!and!“s”!respectively
The!mean!and!standard!deviation!of!the!actual!distribution!represented!by!the
density!curve!denoted!by!“μ”!(mu)!and!“σ”!(sigma)!respectively
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