THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 219

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 skipped lectures are linearly related?

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Definitions:

Hands-on

Involving active participation or physically engaging in tasks rather than observing or theorizing.

Leadership Skills Research

The study of the abilities and competencies that contribute to effective leadership, aiming to identify and develop them.

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The belief that personal capacities, such as intelligence and talent, are static and cannot be significantly improved through effort or training.

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The exhibition of various actions or reactions by individuals in response to different situations or stimuli.