THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 55

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor investigated some of the factors that affect an individual student's final grade in his course.He proposed the multiple regression model Y = β₀ + β₁X₁ + β₂X₂ + β₃X₃ + ε ,where Y is the final mark (out of 100),X₁ is the number of lectures skipped,X₂ is the number of late assignments,and X₃ is the mid-term test mark (out of 100).The professor recorded the data for 50 randomly selected students.The computer output is shown below.
The regression equation is
= 41.6 - 3.18x₁ - 1.17x₂ + 0.63x₃.

S = 13.74 R-Sq = 30.0%
ANALYSIS OF VARIANCE

-Interpret the coefficient b₁.

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Definitions:

Collective Intelligence

The enhanced intellectual capacity and problem-solving ability that emerges from the collaboration, collective efforts, and competition of many individuals.

Social Sensitivity

The ability to perceive, understand, and respect the feelings, thoughts, and situation of others, leading to more effective interpersonal interactions.

Information Overload

The condition of receiving more information than can be processed, leading to difficulty in understanding or decision-making.

High-Performing Team

A group that exceeds expectations and achieves superior performance through collaboration and effective communication.