# 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 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Total Number of Sales since Launch | 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