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

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

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

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)  

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

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

Write the exponential regression equation for the data.

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