Find the Least-Squares Regression Line and Use the Line to Make

question 153

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-A manager wishes to determine the relationship between the number of years her sales representatives have been employed by the firm and their amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. What would be the predicted sales if the sales representative was employed by the firm for 30 years Is this reasonable? Why or why not?
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|}\hline \text { Years employed, x } & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \\\hline \text { Sales, y } & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120\end{array}$

• A) \(\hat { y } = 3.53 \mathrm { x } + 37.92 ; \$ 143,820\); No; it is not reasonable. 30 years of employment is well outside the scope of the model.
• B) \(\hat { y } = 3.53 x + 37.92 ; \$ 143,820 ;\) Yes, it is reasonable.
• C) \(\hat { y } = 3.53 \mathrm { x } - 37.92 ; \$ 67,980 ; \mathrm { No }\); it is not reasonable. 30 years of employment is well outside the scope of the model.
• D) \(\hat { y } = 3.53 \mathrm { x } - 37.92 ; \$ 67,980\); Yes; it is reasonable.

Understand the characteristics and effectiveness of different management styles based on individual needs for power, affiliation, and achievement.

Explain the influence tactics and how they relate to individual power bases.

Identify and describe the concepts of empowerment, including the factors that contribute to its success or failure within organizations.

Recognize the role of self-promotion and ingratiation in organizational politics and their effects on job performance.

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Definitions:

Risk Factors

Conditions that increase the likelihood of a negative developmental outcome.

Low-Birth-Weight

Refers to newborns who weigh less than 2,500 grams (5 pounds, 8 ounces) at birth, a condition associated with various health risks.

Early Months

The initial period following an event, often emphasizing the beginning stages of development or adjustment, such as the first months of life or a new position.

States of Arousal

The different levels of alertness and physiological activity in an individual, ranging from deep sleep to intense excitement or alertness.