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Owner: tovar2408
Created: Oct 16, 2018
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Tovar,Alejandro,Lab 6

*My research question was: Are exam averages correlated with student final exam scores?

*The explanatory variable is exam Average, and the response variable is final exam scores.

*The equation to my least-squares line is y=1.6404x-57.2155

*The correlation coefficient is .885 And the coefficient of determination is .784

*The linear model is appropriate given that our R=.885 which shows us that there is a possible strong linear relationship, since it is close to 1. The only possible outliers in this was that there were two exam scores of 0. But this is because the students simply did not show up to take the final exam, thus we can choose to remove these scores from our data as it is not helpful and can also skew our results a certain way.

*Our R squared value shows us that the strength of my least-regression line is moderately strong given that it is at around 78 and a half percent, of course it can be stronger but that is strong enough to sense and be able to see a relationship.

Result 1: Simple Linear Regression results-Lab 6   [Info]
Simple linear regression results:
Dependent Variable: Final Exam
Independent Variable: Exams Average
Final Exam = -57.215454 + 1.6403615 Exams Average
Sample size: 34
R (correlation coefficient) = 0.88519757
R-sq = 0.78357473
Estimate of error standard deviation: 11.342175

Parameter estimates:
ParameterEstimateStd. Err.AlternativeDFT-StatP-value
Intercept-57.21545411.638352 ≠ 032-4.916113<0.0001
Slope1.64036150.15239768 ≠ 03210.763691<0.0001

Analysis of variance table for regression model:
SourceDFSSMSF-statP-value
Model114904.42114904.421115.85704<0.0001
Error324116.6378128.64493
Total3319021.059

Residuals stored in new column: Residuals

Result 2: Simple Linear Regression- Lab 6   [Info]

Result 3: residuals plot-lab 6   [Info]

Result 4: Boxplot-Lab 6   [Info]