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Applicants for a Particular Job, Which Involves Extensive Travel in Spanish

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Applicants for a particular job, which involves extensive travel in Spanish speaking countries must take a
proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the
numbers of years applicants have studied Spanish (x) and their score on the test (y). x3442534532y57787258896373847548\begin{array} { | l r r r r r r r r r r | } \hline \hline x & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\\hline y & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\\hline\end{array} The regression equation y^=31.55+10.90x\hat { y } = 31.55 + 10.90 x , was obtained. Construct a residual plot for the data.  Applicants for a particular job, which involves extensive travel in Spanish speaking countries must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x) and their score on the test (y).  \begin{array} { | l r r r r r r r r r r | }  \hline \hline x & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\ \hline y & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\ \hline \end{array}  The regression equation  \hat { y } = 31.55 + 10.90 x  , was obtained. Construct a residual plot for the data.


Definitions:

Salvage Value

The estimated residual value of an asset at the end of its useful life.

Old Equipment

Refers to machinery or technology that has become outdated or has surpassed its effective service life but may still be in use.

Salvage Value

The projected remaining worth of an asset once it has reached the end of its operational lifespan.

Internal Rate

Refers to the internal rate of return (IRR), which is a discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero.

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