# Worksheet: Logarithmic Regression Model

In this worksheet, we will practice using the exponential regression features on a graphing calculator to model data exhibiting logarithmic growth or decay.

Q1:

We can model data with nonlinear regression.

Which scatterplot shows data that could be modeled by logarithmic regression?

• A • B • C • D Which formula models logarithmic regression?

• A
• B
• C
• D
• E

Q2:

An app creator tracked the sales of his app for the first 14 days after it was released. Since the sales slowed over time, a logarithmic model can be used to model the data.

 Day Total Number of Sales since Launch 1 2 3 4 5 6 7 8 9 10 11 12 13 14 217 552 807 897 1,001 1,080 1,126 1,162 1,218 1,275 1,290 1,335 1,367 1,393

Use a calculator to calculate the regression equation . Round the values of and to 1 decimal place.

• A
• B
• C
• D

Predict the total number of sales after 4 weeks.

Q3:

Sophia suspects that the number of people, , who have heard a rumour is an exponential function of the time since the rumour started. If she is correct, which of the following would give a straight line graph when plotted?

• A against
• B against
• C against
• D against
• E against