Ch. 7 & 8 Regression Test Review

Find the exponential model of the function.

Stat, edit: L1 & L2

Stat, Calc, 0

• ŷ = 100(8.8)^x

• ŷ = 100(1.88)^x

• ŷ = 100(.88)^x

• ŷ = 100(.12)^x

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Predict the year when Sugar Land’s population will reach 75,000.

First enter the data, then observe the scatter plot, THEN do a regression: Stat, calc, 8 for linear OR 0 for Exponential

• 2015

• 1991

• 1992

• 2010

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CCSS.HSA.CED.A.2

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CCSS.HSF.LE.A.1

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

Your L1= 0, 5, 10,...

• ŷ =8.92(1.23)^x

• ŷ =1.23(8.92)^x

• ŷ =8.92+1.23x

• ŷ =8.92x+1.23

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month.

Set up the exponential equation:

• mosquitoes-hat = 4000(1.25)^month

• month-hat = 4000(1.25)^mosquitoes

• mosquitoes-hat = 25(4000)^month

• month-hat = 1.25(4000)^mosquitoes

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CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A population of fish starts at 8,000 and decreases by 6% per year. What is the exponential regression equation?

• population-hat= 8000(.94)^year

• population-hat= 8000(1.06)^year

• population-hat= 94(8000)^year

• year-hat= 8000(.94)^population

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CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.

Create the exponential regression equation.

• value-hat = 35,000(0.95)^year

• value-hat = 35,000(1.05)^year

• year-hat = 35,000(0.95)^value

• value-hat = 35,000(0.05)^year

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CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month.

Write the exponential regression equation:

• attendance-hat = 250(1.03)^month

• attendance-hat = 250(3)^month

• attendance-hat = 250(0.97)^month

• month-hat = 250(1.03)^attendance

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A town has 2000 people, the population increases by 75 people each year.

Write the linear regression equation.

• population-hat = 2000+ 75(year)

• population-hat = 75+ 2000(year)

• population-hat = 2000(75)^year

• population-hat = 75(2000)^year

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CCSS.HSA.CED.A.2

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CCSS.HSS.ID.C.7

The population of another town (current population is 2000) increases by 75% each year.

Write the exponential regression equation:

• population-hat = 2000+ 75(year)

• population-hat = 2000(1.75)^year

• population-hat = 2000(.75)^year

• population-hat = 2000(year)⁷⁵

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

After 50 gallons of water is poured into a tank, 3.5 gallons will leak out each hour.

Set up a regression equation to predict how much water will be left after a certain amount of hours.

• gallons-hat = 50 - 3.5(hours)

• gallons-hat = 50 + 3.5(hours)

• gallons-hat = 50(.965)^Hours

• gallons-hat = 50(1.035)^Hours

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CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2