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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Round to the nearest whole number.

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2