Transforming to Linearity: Logs and Exponential Models Worksheet with Answer Key

What's on the worksheet

1. Each line was fitted by least squares to the pairs (x, y) (base 10) or (x, y).
   \widehat{\log y} = 1.5 + 0.08x\widehat{\log y} = 2.84 - 0.035x\widehat{\ln y} = 4.2 + 0.15x\widehat{\ln y} = 0.9 - 0.27x
2. A city museum opened two new exhibits on the same day and counted the visitors to each one every week (made-up data).
3. A forest survey counts the ash trees infested by a bark beetle in one county every year (made-up data).
4. An artist posts a webcomic online and records the total number of pages posted since launch at the end of each month (made-up data), as pairs…
5. A physics class strikes a tuning fork, and a sensor records the amplitude of its vibration, in micrometers, once a second (made-up data).
6. A coral nursery grows coral fragments on underwater frames and counts them at the start of each month (made-up data), as pairs (months since…