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A product engineer wants to optimize the cutting of strips of wood, which are used to make plywood. To cut the wood strips, the log is held in place by chucks which are inserted at each end. The log is then spun while a saw blade cuts off a thin layer of wood. The engineer measures the torque that can be applied to the chucks before they spin out of the log, under different conditions of log diameter, log temperature, and chuck penetration. Description The log diameter: 4.5 and 7.5 Factor The chuck penetration: 1.00, Factor 1.50, 2.25, and 3.25 Variable type Worksheet column Diameter Distance

A product engineer wants to optimize the cutting of strips of wood, which are used to make plywood. To cut the wood strips, the log is held in place by chucks which are inserted at each end. The log is then spun while a saw blade cuts off a thin layer of wood. The engineer measures the torque that can be applied to the chucks before they spin out of the log, under different conditions of log diameter, log temperature, and chuck penetration. Description The log diameter: 4.5 and 7.5 Factor The chuck penetration: 1.00, Factor 1.50, 2.25, and 3.25 Variable type Worksheet column Diameter Distance

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 99E
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Topic: Plywood Manufacturing A product engineer wants to optimize the cutting of strips of wood, which are used to make plywood. To cut the wood strips, the log is held in place by chucks which are inserted at each end. The log is then spun while a saw blade cuts off a thin layer of wood. The engineer measures the torque that can be applied to the chucks before they spin out of the log, under different conditions of log diameter, log temperature, and chuck penetration. Description The log diameter: 4.5 and 7.5 Factor The chuck penetration: 1.00, Factor 1.50, 2.25, and 3.25 The log temperature: 60, Factor 120,150 The torque that can applied Response before the chuck spins out Worksheet column Variable type Diameter Distance Temperature Torque 1. A study of Preston et al. examined a sample of 120 log diameter to make a plywood. Is there a significance difference in mean of torque force (newton/meter) for log diameter 4.5 and 7.5? Let a= 0.05. What is the p-value? Compute and interpret thep-value. 2. The sample of 120 chuck penetration, 1.00, 1.50, 2.25 and 3.25 distance are entered into statistical software package. Analysis of variance is used to investigate of there is a difference in the mean torque force of the four-chuck penetration. What do you condude? Use the .01 significance level. 3. In this exercise, you will obtain some practice doing a simple linear regression using Minitab software. This data set has n =120 observation of the log temperature (x) and torque force (y). a) Find: i. The linear regression model, y = a +bx The a and b value ii. i. Correlation coefficient and correlation determination. iv. Scatter plot with overlay of fitted line. b) Write one paragraph interpretation of your linear regression model from your finding in (a).
Transcribed Image Text:Topic: Plywood Manufacturing A product engineer wants to optimize the cutting of strips of wood, which are used to make plywood. To cut the wood strips, the log is held in place by chucks which are inserted at each end. The log is then spun while a saw blade cuts off a thin layer of wood. The engineer measures the torque that can be applied to the chucks before they spin out of the log, under different conditions of log diameter, log temperature, and chuck penetration. Description The log diameter: 4.5 and 7.5 Factor The chuck penetration: 1.00, Factor 1.50, 2.25, and 3.25 The log temperature: 60, Factor 120,150 The torque that can applied Response before the chuck spins out Worksheet column Variable type Diameter Distance Temperature Torque 1. A study of Preston et al. examined a sample of 120 log diameter to make a plywood. Is there a significance difference in mean of torque force (newton/meter) for log diameter 4.5 and 7.5? Let a= 0.05. What is the p-value? Compute and interpret thep-value. 2. The sample of 120 chuck penetration, 1.00, 1.50, 2.25 and 3.25 distance are entered into statistical software package. Analysis of variance is used to investigate of there is a difference in the mean torque force of the four-chuck penetration. What do you condude? Use the .01 significance level. 3. In this exercise, you will obtain some practice doing a simple linear regression using Minitab software. This data set has n =120 observation of the log temperature (x) and torque force (y). a) Find: i. The linear regression model, y = a +bx The a and b value ii. i. Correlation coefficient and correlation determination. iv. Scatter plot with overlay of fitted line. b) Write one paragraph interpretation of your linear regression model from your finding in (a).
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