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Casting aluminum.
Problem: In casting metal parts, molten metal flows through a "gate" into a die that shapes the part. The gate velocity (the speed at which metal is forced through the gate) plays a critical role in die casting. A firm that casts cylindrical aluminum pistons examined 12 types formed from the same alloy. How does the piston wall thickness (inches) influence the gate velocity (feet per second) chosen by the skilled workers who do the casting? If there is a clear pattern, it can be used to direct new workers or to automate the process. Analyze these data and report your findings.
Thickness
Velocity
0.248
123.8
0.524
228.6
0.697
145.2
0.359
223.9
0.552
223.8
0.752
263.1
0.366
180.9
0.628
326.2
0.806
302.4
0.400
104.8
0.871
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