3. A professor is concerned that a couple of his students may be cheating on the

Question

3. A professor is concerned that a couple of his students may be cheating on their homework assignments. He would like to use regression methods to try to determine which students he should be concerned about cheating. He creates a simple linear regression model using homework grades to predict exam grades. His output follows.

Regression Equation

Exam = 12.905 + 0.7843 Homework

Discuss how this professor could use this information to identify students who may be cheating. It is expected that it will take around 75-100 words to fully answer this question. (15 points)

Regression Equation

Exam = 12.905 + 0.7843 Homework

Explanation / Answer

The plot shows a somewhat linear trend between exam grades and homework grades. There are 2 observations which are unusual as they lie beyond the 95% CI and for which the homework grades are good but the exam grades are poor. These points deviate highly from the predicted regression line. Hence it can be said that those two students cheated to get good grades in the homework but could not write their exams well.

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