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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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