Students' schooling and performance is influenced by many factors including the environment, individual and household characteristics This dataset contains the final scores of students at the end of a math programs with several features that might or might not impact the future outcome of these students (Source kaggle com) Now we want to explore more on the variables that might impact on the students final score across all the regions To be able to do that, we define the following variables Y variable Final Score students final score ( ) across all locations X variables Female 1 if the student is female and 0 if male student StudyTime 1 if the student's weekly study time is 3 or more hours and 0 if less than 3 hours Failure 1 if the student failed the class previously and 0 if no previous failure SchoolSup 1 if the student had extra support from school and 0 if no support Romantic 1 if the student had a romantic relationship and 0 if not GoOut student going out with friends (numeric from 0 very low to 5 very high) a) The output in Exhibit 10 below is a list of correlations of the above variables with Final Score Exhibit 10 Final Score ( ) Final Score Female 0 10265999 Study Time 0 139421714 Failures 0 358567492 SchoolSup 0 122629567 Romantic 0 111624509 GoOut 0 149407286SUMMARY OUTPUT Regression Statistics Multiple R 0 43522 R Square 0 18942 Adjusted R Square 0 17688 Standard Error 17 62480 Observations 395 ANOVA Significance df SS MS F F Regression 6 28164 6043 4694 10072 15 11137 1 4514E 15 Residual 388 120525 839 310 633605 Total 394 148690 443 Coefficients Standard Error t Stat P value Lower 95 Upper 95 Intercept 66 047692 2 974675 22 203329 4 3816E 71 60 19919 71 89619 Female 5 180727 1 861227 2 783500 0 00564064 8 84008 1 52137 Study Time 5 764507 2 177515 2 647287 0 00844468 1 48330 10 04571 Failures 15 740335 2 214339 7 108368 5 6755E 12 20 09394 11 38673 SchoolSup 6 423989 2 687649 2 390189 0 01731604 11 70817 1 13981 Romantic 3 095725 1 912186 1 618946 0 1062715 6 85527 0 66382 GoOut 2 066470 0 805937 2 564058 0 01072134 3 65102 0 48192

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Students' schooling and performance is influenced by many factors including the environment, individual and household characteristics. This dataset contains the final scores of students at

Students' schooling and performance is influenced by many factors including the environment, individual and household characteristics.

This dataset contains the final scores of students at the end of a math programs with several features that might or might not impact the future outcome of these students. (Source: kaggle.com)

Now we want to explore more on the variables that might impact on the students final score across all the regions.

To be able to do that, we define the following variables.

Y variable:

Final Score = students final score (%) across all locations.

X variables:

Female = 1 if the student is female and 0 if male student.
StudyTime = 1 if the student's weekly study time is 3 or more hours and 0 if less than 3 hours.
Failure = 1 if the student failed the class previously and 0 if no previous failure.
SchoolSup = 1 if the student had extra support from school and 0 if no support.
Romantic = 1 if the student had a romantic relationship and 0 if not.
GoOut = student going out with friends (numeric: from 0 - very low to 5 - very high)

a)The output in Exhibit 10 below is a list of correlations of the above variables with "Final Score".

Exhibit 10 Final Score (%) Final Score Female -0.10265999 Study Time 0.139421714 Failures -0.358567492 SchoolSup -0.122629567 Romantic -0.111624509 GoOut -0.149407286SUMMARY OUTPUT Regression Statistics Multiple R 0.43522 R Square 0.18942 Adjusted R Square 0.17688 Standard Error 17.62480 Observations 395 ANOVA Significance df SS MS F F Regression 6 28164.6043 4694.10072 15.11137 1.4514E-15 Residual 388 120525.839 310.633605 Total 394 148690.443 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 66.047692 2.974675 22.203329 4.3816E-71 60.19919 71.89619 Female -5.180727 1.861227 -2.783500 0.00564064 -8.84008 -1.52137 Study Time 5.764507 2.177515 2.647287 0.00844468 1.48330 10.04571 Failures -15.740335 2.214339 -7.108368 5.6755E-12 -20.09394 -11.38673 SchoolSup -6.423989 2.687649 -2.390189 0.01731604 -11.70817 -1.13981 Romantic -3.095725 1.912186 -1.618946 0.1062715 -6.85527 0.66382 GoOut -2.066470 0.805937 -2.564058 0.01072134 -3.65102 -0.48192