Use the Given Data to Find the Best Predicted Value $( x )$

question 95

Multiple Choice

Use the given data to find the best predicted value of the response variable.
-The regression equation relating attitude rating $( x )$ and job performance rating $( y )$ for the employees of a company is $\hat { y } = 11.7 + 1.02 x$ . Ten pairs of data were used to obtain the equation. The same data yield $\mathrm { r } = 0.863$ and $\overline { \mathrm { y } } = 80.1$ . What is the best predicted job performance rating for a person whose attitude rating is $56 ?$

• A) 68.8
• B) 67.9
• C) 80.1
• D) 12.6

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Definitions:

Organic Matrix

A complex framework of biological molecules, such as proteins and carbohydrates, that provides structure and support to various tissues, especially in bones and cartilage.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set differ from the mean.

Forecast Error

The difference between the predicted value and the actual value observed, often used in the context of demand or sales forecasting.

Expected Profit

The anticipated monetary gain from business activities, calculated by multiplying the probability of various outcomes by their respective profits and summing the results.