Predictions with Exponential Regression

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

• ŷ =8.92(1.23)^x

• ŷ =1.23(8.92)^x

• ŷ =8.92+1.23x

• ŷ =8.92x+1.23

Find the exponential model of the function.

• ŷ = 100(8.8)^x

• ŷ = 100(1.88)^x

• ŷ = 100(.88)^x

• ŷ = 100(.12)^x

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

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

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

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

Write 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.

Mathematical Equivalence

ON

A box containing 1,000 coins is shaken, and the coins are emptied onto a table. Only the coins that land heads up are returned to the box, and then the process is repeated. The accompanying table shows the number of trials and the number of coins returned to the box after each trial.

Write an exponential regression equation that represents the table.

Mathematical Equivalence

ON

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