Some college students collected data on the intensity of light at various depths in a lake. Here is a scatterplot of their data:

a. At top right is a scatterplot of the natural logarithm of light intensity versus depth. Based on this graph, explain why it would be reasonable to use an exponential model to describe the relationship between light intensity and depth.

b. Here is computer output from a linear regression analysis of the transformed data. Give the equation of the least-squares regression line. Be sure to define any variables you use.

c. Use your model to predict the light intensity at a depth of 12 meters.

Transcribed Image Text:

180 160 140 120 100 80 60 40 20 5 6. 8. 6. 10 11 Depth (m) Light intensity (lumens)