Exponential Regression Review

LIST 3 TOPICS THAT ARE APPROPRIATE FOR AN EXPONENTIAL REGRESSION AND A POWER REGRESSION

• EXPONENTIAL: POPULATION, VOLUME, INVERSE LAW RATIOS

  POWER: AREA, COMPOUND INTEREST, BACTERIA GROWTH

• POWER: POPULATION, COMPOUND INTEREST, BACTERIA GROWTH

  EXPONENTIAL: AREA, VOLUME, INVERSE LAW RATIOS,

• EXPONENTIAL:AREA , COMPOUND INTEREST, BACTERIA GROWTH

  POWER: POPULATION, VOLUME, INVERSE LAW RATIOS,

• EXPONENTIAL: POPULATION, COMPOUND INTEREST, BACTERIA GROWTH

  POWER: AREA, VOLUME, INVERSE LAW RATIOS,

THE POPULATION OF ANOTHER TOWN (CURRENT POPULATION 2000) INCREASES BY 50% EACH YEAR (Y)

• P=2000+1.50Y

• P=2000(0.50)^Y

• P=2000(1.50)^Y

• P=2000+0.50Y

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WHAT TYPE OF MODEL SEEMS APPROPRAITE FOR EACH OF THE 3 ( IN ORDER FROM LEFT TO RIGHT)

• EXPONENTIAL,LINEAR,POWER

• POWER,EXPONENTIAL,LINEAR

• EXPONENTIAL,POWER,LINEAR

DURING A CHEMISTRY LAB , STUDENTS WERE ASKED TO STUDY A RADIOACTIVE ELEMENT WHICH DECAYS OVER TIME. THE RESULTS ARE IN THE TABLE. GIVE THE EQUATION WHICH MODELS THE REMAINING MASS OF THE ELEMENT.

• DAYS = 319.89(0.842)^GRAMS

• GRAMS = 319.89 - 0.842GRAMS

• GRAMS = 319.89 - 0.158DAYS

• GRAMS = 319.89 ( 0.842)^DAYS

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CCSS.HSF.LE.A.2

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

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CCSS.HSF.LE.A.2

The accompanying table shows the number of bacteria present in a certain culture over a 5-hour period, where x is the time, in hours, and y is the number of bacteria.

Write an exponential regression equation.

Round to the nearest hundredth.

​ ​ (a)  

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CCSS.HSF.LE.A.2

Which exponential function best models the data? (Lists and spreadsheet, choose exponential regression)

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CCSS.HSF.LE.A.2

Calculate the exponential regression equation that best fits the following data.

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CCSS.HSF.LE.A.2

Write the exponential regression equation for the data.

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CCSS.HSF.LE.A.2

As reported in the Washington Post on Thursday, April 2, 2020, the number of reported Carona Virus cases in the Washington DC metropolitan area was 4698. On March 5, the first 3 cases were reported. Using an exponential regression, use the above data to estimate the number of cases in the DC metropolitan area on April 6.

• 7945

• 7495

• 9745

• 9475