Auditors are often required to compare the audited (or

Chapter 11, Problem 4E

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QUESTION:

Auditors are often required to compare the audited (or current) value of an inventory item with the book (or listed) value. If a company is keeping its inventory and books up to date, there should be a strong linear relationship between the audited and book values.Acompany sampled ten inventory items and obtained the audited and book values given in the accompanying table. Fit the model \(Y=\beta_{0}+\beta_{1} x+\varepsilon\) to these data.

a What is your estimate for the expected change in audited value for a one-unit change in book value?

b If the book value is x = 100, what would you use to estimate the audited value?

Equation transcription:

Text transcription:

Y=\beta_{0}+\beta_{1} x+\varepsilon

Questions & Answers

QUESTION:

Auditors are often required to compare the audited (or current) value of an inventory item with the book (or listed) value. If a company is keeping its inventory and books up to date, there should be a strong linear relationship between the audited and book values.Acompany sampled ten inventory items and obtained the audited and book values given in the accompanying table. Fit the model \(Y=\beta_{0}+\beta_{1} x+\varepsilon\) to these data.

a What is your estimate for the expected change in audited value for a one-unit change in book value?

b If the book value is x = 100, what would you use to estimate the audited value?

Equation transcription:

Text transcription:

Y=\beta_{0}+\beta_{1} x+\varepsilon

ANSWER:

Step 1 of 4

(a)

In this exercise we need to find the least-squares equation

where

where

and

and  is the number of data.

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