Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 7.3, Problem 6E
a.
To determine
Compute the least-squares line for predicting the long-term measurement from the short-term measurement.
b.
To determine
Find the error standard deviation estimate s.
c.
To determine
Find the 95% confidence interval for the slope.
d.
To determine
Find the 95% confidence interval for the mean long-term measurement for those with short-term measurements of 1.2.
e.
To determine
Check whether the data provide sufficient evidence to conclude that the mean long-term measurement for those with short-term measurements of 1.2 is greater than 1.2.
f.
To determine
Find the 95% prediction interval for the long-term measurement for a particular individual whose short-term measurement is 1.2.
g.
To determine
Identify which interval is more relevant.
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Using the accompanying Home Market Value data and associated regression line,
Market ValueMarket Valueequals=$28,416+$37.066×Square
Feet, compute the errors associated with each observation using the formula
e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi
and construct a frequency distribution and histogram.
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Part 1
Construct a frequency distribution of the errors,
e Subscript iei.
(Type whole numbers.)
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e Subscript iei
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e Subscript iei
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e Subscript iei
less than or equals≤0
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The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c
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Using the accompanying Home Market Value data and associated regression line,
Market ValueMarket Valueequals=$28,416plus+$37.066×Square
Feet, compute the errors associated with each observation using the formula
e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi
and construct a frequency distribution and histogram.
Square Feet Market Value1813 911001916 1043001842 934001814 909001836 1020002030 1085001731 877001852 960001793 893001665 884001852 1009001619 967001690 876002370 1139002373 1131001666 875002122 1161001619 946001729 863001667 871001522 833001484 798001589 814001600 871001484 825001483 787001522 877001703 942001485 820001468 881001519 882001518 885001483 765001522 844001668 909001587 810001782 912001483 812001519 1007001522 872001684 966001581 86200
Chapter 7 Solutions
Statistics for Engineers and Scientists
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