THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 18

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 model is useful in predicting the final mark?

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