A Poultry Farmer That Dabbles in Statistics Is Interested in Exploring

A poultry farmer that dabbles in statistics is interested in exploring the relationship between two types of feed (layer pellets and scratch), water, and the output of his laying hens. For ten days he records the number of ounces of layer pellets and scratch the hens consume and the number of fluid ounces of water and tracks the number of eggs that are produced. What is his regression equation based on the data?
$$\begin{array} { | c | c | c | c | } \hline \text { Scratch } & \text { Layer Pellets } & \text { Water } & \text { Eggs } \\\hline 48 & 29 & 36 & 24 \\\hline 44 & 27 & 34 & 22 \\\hline 41 & 22 & 31 & 20 \\\hline 42 & 21 & 32 & 20 \\\hline 48 & 23 & 34 & 22 \\\hline 44 & 28 & 34 & 23 \\\hline 42 & 22 & 37 & 21 \\\hline 41 & 28 & 33 & 22 \\\hline 42 & 22 & 31 & 20 \\\hline 47 & 29 & 37 & 24 \\\hline\end{array}$$