Exponential and Logarithmic Regression

What type of function is being represented here?

• Linear

• Cubic

• Exponential

• Logarithmic

Determine the equation of the logarithmic regression function that models the given data set.

Determine x-intercept of the equation of the logarithmic regression function.

• There is no x-intercept 

• (1 , 0) 

• (0 , 1.06) 

• (1.06 , 0) 

Determine y-intercept of the equation of the logarithmic regression function.

• There is no y-intercept 

• (0 , 1) 

• (0 , 1.06) 

• (1.06 , 0) 

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.

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

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

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

• y=8.92•1.23^x

• y=1.23•8.92^x

• y=8.92+1.23x

• y=8.92x+1.23

Write the exponential regression equation for the data.

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