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1. Zinc plating experiment 
The following experiment was used by C. R. Hicks (1965), Industrial Quality Control, to illustrate the possible bias caused by ignoring an important covariate. The experimental units consisted of 12 steel brackets. Four steel brackets were sent to each of three vendors to be zinc plated. The response variable was the thickness of the zinc plating, in hundred-thousandths of an inch. The thickness of each bracket before plating was measured as a covariate. The data are reproduced in Table 9.8. 
	vendor
	vendor
	vendor
	1
	2
	3
	x
	y
	x
	y
	x
	y
	110
	40
	60
	25
	62
	27
	75
	38
	75
	32
	90
	24
	93
	30
	38
	13
	45
	20
	98
	47
	140
	35
	59
	13
a) Plot yit versus xit, using the vendor index i as the plotting symbol. Discuss the relationship between plating thickness and bracket thickness before plating.

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