A semiconductor industry would like to find out whether worker hours are related to lot sizes. They wish to use the model to later predict the number of worker hours required for different lot sizes. The observed values are given below: 1. Lot size 20 20 30 30 40 40 50 50 60 Working hours 60 70 70 80 80 67 87 95 108 112 128 135 148 160 170 162 50 55 73 Find the estimated regression line to fit the data using the method of least squares. Interpret b, the slope of the regression line. a) b) b) Predict the number of worker hours needed for a lot of size 75.
A semiconductor industry would like to find out whether worker hours are related to lot sizes. They wish to use the model to later predict the number of worker hours required for different lot sizes. The observed values are given below: 1. Lot size 20 20 30 30 40 40 50 50 60 Working hours 60 70 70 80 80 67 87 95 108 112 128 135 148 160 170 162 50 55 73 Find the estimated regression line to fit the data using the method of least squares. Interpret b, the slope of the regression line. a) b) b) Predict the number of worker hours needed for a lot of size 75.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
![A semiconductor industry would like to find out whether worker hours are related to lot
sizes. They wish to use the model to later predict the number of worker hours required for
different lot sizes. The observed values are given below:
1.
Lot size 20 20 30 30 40 40 50 50 60
60 70 70
80 80
Working
| hours
50 55 73 67 87 95
108 112 128 135 148 160 170 162
a)
Find the estimated regression line to fit the data using the method of least squares.
b)
Interpret b, the slope of the regression line.
b)
c)
Predict the number of worker hours needed for a lot of size 75.
Does the model you built in (a) confirm there is a linear relationship between lot size
to number of worker hour required? Test using a = 0.05.
Find the coefficient of correlation. What does the value imply about the relationship
d)
of the two variables?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ffba3e0-6b8f-4fb5-a9bd-f9d680849a68%2F1aac8e85-c5d8-4d6f-aeff-43c88f35c581%2Fy0xmtnsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A semiconductor industry would like to find out whether worker hours are related to lot
sizes. They wish to use the model to later predict the number of worker hours required for
different lot sizes. The observed values are given below:
1.
Lot size 20 20 30 30 40 40 50 50 60
60 70 70
80 80
Working
| hours
50 55 73 67 87 95
108 112 128 135 148 160 170 162
a)
Find the estimated regression line to fit the data using the method of least squares.
b)
Interpret b, the slope of the regression line.
b)
c)
Predict the number of worker hours needed for a lot of size 75.
Does the model you built in (a) confirm there is a linear relationship between lot size
to number of worker hour required? Test using a = 0.05.
Find the coefficient of correlation. What does the value imply about the relationship
d)
of the two variables?
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