THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 213

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 1% significance level,the final mark and the mid-term test mark show a positive linear relationship?

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Definitions:

Utilitarianism

The ethical principle that urges individuals to act in a way that creates the most happiness for the largest number of people.

Bribes

Illicit payments, offers, or receipts of value offered or made to influence the actions or decisions of someone in a position of power, often to gain an unfair advantage.

Supplies

Goods and materials required for the operation of a business or for completing a particular task, project, or service.

Foreign Corrupt Practices Act

A U.S. law aimed at preventing American companies and their agents from engaging in bribery and other unethical practices abroad.