1 Chapter #9 What’s My Curve?. In this chapter we will study both linear and curved models…....

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1 Chapter #9 Chapter #9 What’s My What’s My Curve? Curve?

Transcript of 1 Chapter #9 What’s My Curve?. In this chapter we will study both linear and curved models…....

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Chapter #9Chapter #9

What’s My What’s My Curve?Curve?

In this chapter we will study both In this chapter we will study both linearlinear and curved models…. and curved models….

They could be:They could be:

EXPONENTIALEXPONENTIAL

OROR

POWER POWER

MODELS !!MODELS !!

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Since you all come from Since you all come from different classes last yeardifferent classes last year

(PRECALC, ALG 2 TRIG, (PRECALC, ALG 2 TRIG, ALG TRIG GENERAL) we ALG TRIG GENERAL) we need to check what you need to check what you

know/remember!know/remember!

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TimeTime

forfor

AA

PRE-TEST!!!!!!PRE-TEST!!!!!!( ( don’t freak out..it’s not being gradeddon’t freak out..it’s not being graded!)!)

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Time for a pretest!!!Time for a pretest!!!

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HOW DID YOU DO?????HOW DID YOU DO?????

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What makes something a What makes something a power equation verses an power equation verses an exponential equation???exponential equation???

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by a x xy a b

Exponential FunctionsExponential Functions

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xy a b

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In 1960 you could In 1960 you could purchase a brand new purchase a brand new

Cadillac forCadillac for__$$____________$$__________

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In 1960 you could In 1960 you could purchase a brand new purchase a brand new

Cadillac forCadillac for$5000.00!!!!!$5000.00!!!!!

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How fast How fast have prices have prices

risen???risen???

Let’s Let’s explore... explore...

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Enter this dataEnter this data

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Make a Make a Scatterplot!!!Scatterplot!!!

Does a LINEAR Does a LINEAR model seem model seem appropriate?appropriate?

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What type of function do What type of function do you think this is?you think this is?

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Was this your choice???Was this your choice???

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Write your model Write your model using words…...using words…...

•Price = 114.06(1.0535)Price = 114.06(1.0535)

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Price=114.06(1.0535)Price=114.06(1.0535)

Since the base is LARGER Since the base is LARGER

than one it is EXPONENTIAL than one it is EXPONENTIAL

GROWTH by ______%GROWTH by ______%

Let’s look at the residual plot!Let’s look at the residual plot!

2020

Price=114.06(1.0535)Price=114.06(1.0535)

Since the base is LARGER Since the base is LARGER

than one it is EXPONENTIAL than one it is EXPONENTIAL

GROWTH by ______%GROWTH by ______%

Let’s look at the residual plot!Let’s look at the residual plot!

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What do you think???What do you think???

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Use your model to predict Use your model to predict the price of a Cadillac in the price of a Cadillac in

2020!!2020!!

Price=114.06(1.0535)Price=114.06(1.0535)

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What do you think of our What do you think of our answer, $59,413.00???answer, $59,413.00???

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