Look at the attached horseshoe crab data (run it in SAS) Answer the following questions and SHOW ALL WORK! a. Using x = weight and Y= number of satellites, fit a Poisson log-linear model. Report the

Horseshoe crab data set

Data: Study of nesting horseshoe crabs (J. Brockman, Ethology, 1996).

Each female crab in the study had a male crab attached to her in her nest.

The study investigated factors that affect whether the female crab had

any other males, called satellites, residing nearby her.

Explanatory variables thought possibly to affect this included the

female crab's color, spine condition, weight, and carapace width.

The response outcome for each female crab is her number of satellites.

We will look at the response has a binary random variable:

0 = no satellites, 1 = at least one satellite

# Variable descriptions:

# color: 1 - light medium, 2 - medium, 3 - dark medium, 4 - dark

# spine: 1 - both good, 2 - one worn or broken, 3 - both worn or broken

# width: carapace width in cm

# satell: number of satellites

# weight: weight in grams

# y: whether a female crab has a satellite (1=yes, 0=no)