Use the Given Data to Find the Best Predicted Value $( \mathrm { x } )$

question 65

Multiple Choice

Use the given data to find the best predicted value of the response variable.
-The regression equation relating dexterity scores $( \mathrm { x } )$ and productivity scores $( \mathrm { y } )$ for the employees of a company is $\hat{y} = 5.50 + 1.91 x$ . Ten pairs of data were used to obtain the equation. The same data yield $\mathrm { r } = 0.986$ and $\overline { \mathrm { y } } = 56.3$ . What is the best predicted productivity score for a person whose dexterity score is $37 ?$

• A) 56.30
• B) 205.41
• C) 58.20
• D) 76.17

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Definitions:

Labor Demand Curve

A graphical representation showing the relationship between the quantity of labor demanded by employers and the wage rate.

Automobiles

The term for motor vehicles, typically with four wheels, designed primarily for passenger transportation on roads.

Technological Advance

Innovations and improvements in technology that increase productivity and efficiency in production or services.

Technological Change

The process through which new technologies are developed and introduced, leading to changes in productivity, consumption patterns, and economic structure.