Data from a representative sample of World Campus STAT 200 students were used to
ID: 2909053 • Letter: D
Question
Data from a representative sample of World Campus STAT 200 students were used to construct the following simple linear regression model:
One student scored 80.15 on the labs and 83.03 on the midterm exam.
Address the following questions using the information above. Show all work using the 'Insert Math Equation' function in Canvas. Round your answers to three decimal places.
A. Compute the predicted midterm exam score for this student.
B. Compute the residual for this student.
C. Interpret this student's residual.
predicted midterm exam - 34.8080.55329(labs)Explanation / Answer
Answer
the given regression equation is predicted mid term exam=34.808+0.55329(labs)
(A) we have to find the value of predicted mid term exam when the score on lab is 80.15
setting the value in the above regression equation, we get
predicted mid term exam=34.808+0.55329*80.15 = 34.808+44.3462 = 79.1542
(B) Residual= difference of actual value and predicted value = 83.03-79.1542 = 3.8758
(C) The student's residual is 3.8758 which shows us the difference between predicted score and actual or observed score for the student when the score in the lab was 80.15.
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