Exponential Regression Practice

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

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

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

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

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

Which of the following is the exponential regression equation for this 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 chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data. Determine the exponential regression that best models these data.

• y = 100(8.7)^x

• y = 100(1.87)^x

• y = 100(.87)^x

• y = 100(.13)^x

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

Which of the exponential equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^x