As part of a study on the bluntnose minnow (Pimephales notatus) you want to determine which factors contribute to how many of these fish live in parts of a stream. So you sampled 80 different sections of a stream and counted the number of minnows per cubic meter, the water temperature (°C), the water depth (meters), and whether or not there was a predator present (yes/no). After confirming all relevant assumptions, you ran a general linear model predicting the density of bluntnose minnows:

** b SE**

Intercept -4.61 0.45

Water Temp. 0.51 0.37

Water Depth 12.33 5.13

Predator (0=No, 1=Yes) -8.71 1.56

**a. **Calculate the test statistics for each explanatory variable in the model. Which predictors explain a significant amount of variation in the response variable?

**b. **Write out the full regression equation for predicting the density of bluntnose minnows in this stream.

**c.** Interpret the estimate for Predator in context.

**d.** Predict the bluntnose minnow density in a part of the stream that is 12°C, 2.5 meters deep, and has a predator present. (1pt)