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MSU / Math / MTH 101 / How do you read a log scale?

# How do you read a log scale? Description

##### Description: -Module 1 through 14 -Examples from labs and Learning Objects
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EXA country's population

## How do you read a log scale?

growing at a rate of 4.5 million per year. how many people will be in the country in 10 years!

a)77 million b) 60 million 95 million d) 45 million Linear growth

current poptrate xu years later Population lly" years later=curr Current pop= 50 million u=10 year 50+ 4.5.10

## How does a linear scale work?

50+45=90 million Log scale

& 4 8 16 327 Don't forget about the age old question of What is the definition of sexual?

etio 100 1000 10,000

100? v Week 8

Types of

Grophs

near

h

Lineart

linear? Llogy

Log

Linear scale

• equal sized spaces correspond to addition of a particula number

## What does extrapolate mean?

If you want to learn more check out What is the content of los ultimos de filipinas?

o associated with "absolute change" Log scale sequal sized spaces correspond to multiplication of a particular number

associated with relative or percent change Ex. Dr. A's class 20 people got 4.0 Dr. Bis class a people got 4.0

~ Absolute measure know more information in Dr. A's class there were 4 stu

tudy SOUT

Relative measure: Dr. A 1000 • 100% = do got 4.0 Dr. B's class : 100% > 50% got4.0 violeos Below age 15, there are two Billidh children Each level is a 15 year age Sillido children 15-30 (& Billion) If you want to learn more check out Contribution margin income statement refers to what?

2:45 Billion) .60 years and older (1 Billion)

So around eleven Billion by the year 2100 If there is O rabbits, how many are there in 3 years (lincar) 50+15+15+15= 95 rabbits 50+15.3 =95 rabbits If you want to learn more check out What is the definition of chain-style business operation?

& # of years

dinosapnas

• 30 doll Billioner (Billion)

or 200

6% increase 14% growth

100

Formula

Future amant -start('

50(1+0.06 We also discuss several other topics like What does psychosis mean?

solabild houvopnous !

(ezino ) SDPOW Hmong Duar

tunowe

near- Ex. population increases by 1,000 each year increase by Exponential - s EX. increase by percent each year

Exo pop, increases by 5% each year Interpolation; estimating a value within the range of collected Extrapolation estimating a value for the future! 125 eagles) Ex. year population of eagles in Michigan We also discuss several other topics like Are we attracted to similar personalities?

- Interpolations estimate #eagles in

dorta

O obl

ОО

0261-oobl alolsul

Olb!

Gobi

Extrapolation : Estimate #of eagles in

Oebl

1 0261

ele

Soe

-

ze Szilo obal Oho! to biasatbp oa6l-oobl to aloisto Soule

ty tsan I

-

لضريبا) (C

- -

Percent increase lexponentic

growth)

tel 0861 oed old

population the next year

coul

1oof dos h t Time Eagle nation xty-axis are linear scale

a

Michigan

population as it

porceareas

loool

I

to Joan

I

Utmaib

ad ololo't si atel thoat.help suurem aut lHun sneld in

%ool

Ex. Suppose a colony of worms Population "y" years later has 2500 members and the growth population current year.

llt percent

population reaches 3,000? a) 100 days b) 3 days c) 4 days ol) 50 days Use 4.670% think exponential 3,000

olo

250nui tavattudod taund=JOTOI sholóna uoneindod

Cooldoooo-ooole

(L9H01) ooge = 000€ swom Ell' beet 001= n yaupt, ssangu

susom nogle auth surom ooo ea tan

og=h. Ebrite

O Lault bulanop

Doubling Time for an exponential growth moolel.

at groth a 70 growth rate, as a percent growth

doubling

Earth's carrying capacity 10-11 billion percent Logistic growth

pa

Graph

(XI standard

error)

Chardonnay Richardson

Section 8

Study Soup

saule 4 -percentage - # of happy people

standard

total # of peope

error)

andard error ho(1-o

V n (total # of people) argin of error=1.96.standard error infidence interval is ↑ Ilmargin of error) ule!

nelcoursepoints 4 of Grade Ludwig's Percentage Grade Course poris corned ricipation 900% n paper

10

10.90.18=9

0.76.50=38

al Exam

50

als

1100

185= goal 9+38=47

85-47=38

40

Stue

urvey (Practice Test) How much money will he need to spend

cards?

n=3.92 Soalifind the number of people he has to survey (n) e

3.821 6.SE

Margin of error=1.96.standard error

3.92=1.968 andard deviation - Standard error 3.92_s

T96

40=an R 40=2 20=0

o participant

ra 202=n=400 •Standard

Deniation=40 om=3.92

400.25=10,000

1, it means the disease is likely present so, it means that the individualtested most

3 - Chardonnay Richardson ositie test result is not opool, it means the eoptive test result is not bool, it means th Ayoloes not have the disease butts fall into the following categories we positive

I corect False positive est result is & result ! sitive and the

the disease

nent has the sease

alse negative

True negatire a

Test resuHis negative and the patient actuall

est rett is gathe bit incorrect

does not have disease

correct result

es have sease

test result is positive but the patient does not have

Pincorrect result

patient

result

Study So

ensitivity of a test is the probability that the test will detect the disease ina erson that has the disease -nativity=true positives

true postie all who have the disease true oos & false nea. ecificity of atest is the probability that the test will give negative results

a person who does not have the disease ecficity = truenegatives

-= true negative all who do not havedisease the nea + false

100,000 people with a sore throot

Number we expect do not have strep" 85,000 people

Number we expect to have strep throat

15,000 people

Number we expect to have Stred throat and test negative

5,310°

Number

over we expect to not have strep throat

and test negative

we expect

82,250

to not have strep throat

so prevalence does not affect

and test positive

senstvity or specifiche

2,720

Sensterty and specifichu.

1 As prevalencet

are charactersHcs of a

decreases-PPV

7 medical test decreases Prev

Prevalence does affect ppp AS orevalence increases

NOV Por decede also

increase

lo of

we ber

Do Number

expect

to have

throbt and test po Stiven

stree

perrgiven in

percent)

out

Ideare

actual do have disease NPV

of 100 people who

COO

tudySoup

many people had strep throat and tested positi many total people tested postive? 12 410 percentage of people who tested positive actually had strepthroat778%

Latve predictive value for the rapid strep test in porta? 280+5310=87,500 38B = 044%

SOU

alence: the percentage of people from a specific risk group that we exnect vally have the condition Sturtu for people who have the condition, this is the probabilite, thround ve the correct result (positive result) eceive the correct result (negative resul)"

people who do not have the condition, this is the probability that ove predictive value (PPV) for people who receive a postne 5 the probability that they actually have the condition. Hve, predictive value (NPV) for people who receive a negative test resuh is the probability that they really do not have the condition tivity and Specifichy do not depend on prevalence popv and NPV do depend chorocterishes of the test

on

enstitu= true pas

Spectficthy

false jenegt false neg

thens Aitu 97,804 3920

40

100

chstwty olo gives truel Tane test- Spise Senshi bosenstvity gues false o receiveHPVIPV

4 true post

- positive predictive value

- negative predictive value fif guren NPV or PPV, dont need to draw a tree

hienes pos it aven testresutoniu use ppv, NPVue dont know whether or not we hare the condition) l. a) 39% b) 100%-30%=61010 have a result, olo not use NPV.

More likely we don't have condition 2. False positive

Test 3 questions from this

3. positive Predictive valve

page- do you know if the

4.a. 100,000

risks above are absolute

Has , P olont

nshs or relative risks? If the chances are 3,50% then the chances are linaa If the chances are 400%, the the chances are a ins.

aco

40

3.5

Problem- What does at

D.Por=true o -100 = 0.0809

mean? 2,4 men per 1000

true false 0 1907 1996

mean

587%

C.NDV=true

97.804

Questions, which gender

- - 0.gopa had the laraest of true 0 t ffalse 0 97,804t10 ggggolol increase in heroin use, sl.0.0860.400=34.76 400-35-365

Female

35, 365

find "m" stunning absolute into relative measure

Under lur old

I death & oleaths 38 thousand & Too thousan

100=38 * x=2.6 A 2.6 death per 100,000 makes tow to calculate % change New rate-old rate x 100%-1.6-0.8.100

olol rate

anosAPI

(

Study foup

G

86.100=100% WPV-negative predictive value nown negative result robability that a person wn not have the disease

pv 84000 84 out of 100 people who tested negative actuall o not have disease So 16 tested negative, but olo nove disease

false

cative

neo nown condition

If you know a person has or oloes not have a condition then use sensitivity or specificity e

? Use these if you don't kny test resursutt first EPPV is less than 50% then Ppy) now to or more likely you don't sensitivity you get a positive result sensitinty Don't

Dont

States resut NPV

test re

Specifa

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