Exponential Regression and Prediction

A scientist observes the weight, y, of a 100-gram sample decay every week, x. Determine which exponential regression best models the data in the table.

• y = 100(8.7)^x

• y = 100(1.87)^x

• y = 100(.87)^x

• y = 100(.13)^x

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

• linear

• exponential

• quadratic

Predict how many grams of the 100-gram sample will remain after 15 weeks.

• 23.8 grams

• 14.1 grams

• 19 grams

• 10 grams

Predict the number of Tik Tok users world wide in the year 2025.

Round to the nearest whole number.

Mathematical Equivalence

ON

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

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

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

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.

• 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. Stat, edit: L1 & L2 Stat, Calc, 0

• ŷ = 100(8.8)^x

• ŷ = 100(1.88)^x

• ŷ = 100(.88)^x

• ŷ = 100(.12)^x