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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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