THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 130

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

-Does the data provide enough evidence to conclude that,at the 5% significance level,the final mark and the number of late assignments are negatively linearly related?

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Definitions:

Agents of Socialization

Individuals, groups, or institutions that play a significant role in integrating people into social life by teaching norms, values, and skills.

Social Development

The process by which society evolves to improve conditions for social interaction, social justice, and the well-being of its members.

Major Agents

Influential entities or individuals that have significant impact or control in specific contexts, such as socialization or change.

Agents of Socialization

Individuals, groups, and institutions that significantly influence one's social development, norms, and roles within society.