Question: PROBLEM 3 (5 pts) In a study of machining operation, the amount of vibration caused on the job was measured as the response with the

PROBLEM 3 (5 pts) In a study of machining

PROBLEM 3 (5 pts) In a study of machining operation, the amount of vibration caused on the job was measured as the response with the tool angle (150 vs. 20), the speed of rotation (2600 rpm vs. 3000 rpm) and the feed rate_(0.02 in/rev vs. 0.05 in/rev) as the factors. The following data were collected from the experiment. Analyze the results of the experiment by calculating the three main effects and interaction effects of the three factors. Using the provided table Speed of Rotation Tool Angle 150 15 15 150 20 20 20 20 2600 rpm 2600 rpm 3000 rpm 3000 rpm 2600 rpm 2600 rpm 3000 rpm 3000 rpm Feed Rate 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev Vibration 18.2 16.4 16.4 16.2 16.0 16.2 15.4 15.0 Vibration Interaction (AxR) Interaction (AxF) Interaction (RxF) Interaction (AxRxF) Tool Angle (A) -1 -1 -1 -1 +1 +1 +1 +1 Speed of Rotation (R) -1 -1 +1 +1 -1 -1 +1 +1 Feed Rate (F) -1 +1 -1 +1 -1 +1 -1 +1 18.2 16.4 16.4 16.2 16.0 16.2 16.2 16.2 (a) Write down a linear model for predicting the vibration of this process. Y=bo + bA + b2R+b3F + b12AR + b13AF + b23RF + b123ARF+e PROBLEM 3 (5 pts) In a study of machining operation, the amount of vibration caused on the job was measured as the response with the tool angle (150 vs. 20), the speed of rotation (2600 rpm vs. 3000 rpm) and the feed rate_(0.02 in/rev vs. 0.05 in/rev) as the factors. The following data were collected from the experiment. Analyze the results of the experiment by calculating the three main effects and interaction effects of the three factors. Using the provided table Speed of Rotation Tool Angle 150 15 15 150 20 20 20 20 2600 rpm 2600 rpm 3000 rpm 3000 rpm 2600 rpm 2600 rpm 3000 rpm 3000 rpm Feed Rate 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev 0.02 in/rev 0.05 in/rev Vibration 18.2 16.4 16.4 16.2 16.0 16.2 15.4 15.0 Vibration Interaction (AxR) Interaction (AxF) Interaction (RxF) Interaction (AxRxF) Tool Angle (A) -1 -1 -1 -1 +1 +1 +1 +1 Speed of Rotation (R) -1 -1 +1 +1 -1 -1 +1 +1 Feed Rate (F) -1 +1 -1 +1 -1 +1 -1 +1 18.2 16.4 16.4 16.2 16.0 16.2 16.2 16.2 (a) Write down a linear model for predicting the vibration of this process. Y=bo + bA + b2R+b3F + b12AR + b13AF + b23RF + b123ARF+e

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