Question

(3) (45 pts) Your friend Ubar is the royal statistician for King Hammurabi of Babylon, who has charged him with studying how grain yields, Y (measured in bushels per acre), are affected by fertilizing with different levels of goat dung, X (measured in 100s of pounds per acre. Ubar has collected data (yn, ) from a randomized experiment involving fertilization of 42 different farms, with different amounts of dung. From experience, Ubar knows that grain yield is related to fertilizer by the abstract causal model, where U satisfies all of the ideal assumptions discussed in class, including U ~N(0,02) However, there is a problem: one of the goats was caught chewing on Ubar's notes (yes, goats will even eat clay tablets), and now several of his estimates are on a field somewhere as fertilizer. Luckily, enough information was recovered (see Table 1), to reconstruct all necessary components of the king's agricultural study. Help Ubar avoid a beheading by doing the following

Answer 1

indi ng 2 Sum 어, sal TSS TSS 8.o

Einding 어Aun A.--. (42) ( 63 ο 30) - (420)(6300) --LS 4220) 2.0 Unbencepe sauann3つ ク 4.8 gecata 4220 2.0 096341 0 04 82.

H:Ato a 2 β。 homal appyo 65 乙 Yomm the diagram is theas thas the H Henu emin if 0b

because beta₀=135​​​​​​​