1. The American crow (Corvus brachyrhynchos} creates nests in a wide range of sizes. Researchers want to know if crows with larger nests produce larger eggs, so they collect one randomly-chosen egg from 40 nesting crows and measure it and the nest size. Their data is below. Nest Size (cm) Egg Length (mm) 31.75 4.19 Std Deviation a. List the full assumptions you would need to confirm before conducting a linear regression analysis on this data. (1.25pts) b. Assuming everything you mentioned in part (a) was confirmed, calculate the linear regression equation that egg length based on nest size. Show all of your work and any formulas you use for full credit. (2.25pm) c. Within the context of the problem, interpret the estimates of the slope and intercept you calculated in part (b). (1 pt)