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		Main Effect of Factor-B (Titanium) = 0.75
		Main Effect of Factor-B (Titanium) = 2.75
		Main Effect of Factor-B (Titanium) = - 5.50
		Main Effect of Factor-B (Titanium) = 3.50
		Interaction Effect between Factor-A and Factor-C = - 5.25
		Interaction Effect between Factor-A and Factor-C = 0.5
		Interaction Effect between Factor-A and Factor-C = - 4.25
		Interaction Effect between Factor-A and Factor-C = - 1.75
		b3 = 0.625
		b3 = 0.875
		b3 = 0.75
		b3 = - 0.125
		b123 = - 1.625
		b123 = 1.375
		b123 = 2.25
		b123 = - 0.75

A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part, as it can lead to non-recoverable failure. A test is run at the parts manufacturer to determine the effects of three (3) factors on cracks. The three factors are pouring temperature (A), titanium content (B), and heat treatment method (C). Two levels for each of these three factors are identified (coded as - 1 and +1) and the experiment is run as a 23 design, and the length of crack (in um) induced in a sample coupon subjected to a standard test is measured. The data are shown below. (if you can not view the table, click the file name: Table Factorial Design, PNG) B AXB AXC BXC A BC Crack length (um) - 1 6 -1 -1 -1 12 - 1 +1 - 1 14 - 1 -1 10 +1 -1 8 +1 -1 6 -1 8 +1 14 Based on the various effects to be calculated from this table (main effects and interaction effects), the associated linear model for predicting the crack length can be expressed as Y = bo+D9A+D2B + b3C + D12AB+D13AC + b23BC + b123ABC + e Based on the table and the linear model, answer the following questions First what is the Main Effect of Factor-B (Titanium)? Second, what is the Interaction Effect between Factor-A and Factor-C (pouring_temperature x heat_treatment_method)? Thirdly, what is the value for b3? Lastly, what is the value for b123