A statistics instructor wanted to see if it was possible to predict final exam scores based off of the students' midterm exam scores. Here is an analysis of what she found. Final Exam Grades 90 R2 51.12% Se 6.37 80 70 Variable Coefficient Intercept 33.4 60 Midterm Exam Score (slope) 0.58 60 70 80 Midterm Exam Grades 90 (a) Write the equation of the regression line based on this data. (b) If Mike scored a 92 on the midterm, what does this model predict his final exam grade will be? (c) Mike got an 82 on the final. How big or small is his residual (find actual value)? (d) In this context, what does it mean to say a student has a negative residual? (e) Interpret the slope in this context. (f) Interpret the intercept in this context. (g) What fraction of variability is not accounted for by this model (give value)?

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A statistics instructor wanted to see if it was possible to predict final exam scores based off of the
students' midterm exam scores. Here is an analysis of what she found.
Final Exam Grades
90
R2
51.12%
Se
6.37
80
70
Variable
Coefficient
Intercept
33.4
60
Midterm Exam Score (slope)
0.58
60
80
Midterm Exam Grades
70
90
(a) Write the equation of the regression line based on this data.
(b) If Mike scored a 92 on the midterm, what does this model predict his final exam grade will be?
(c) Mike got an 82 on the final. How big or small is his residual (find actual value)?
(d) In this context, what does it mean to say a student has a negative residual?
(e) Interpret the slope in this context.
(f) Interpret the intercept in this context.
(g) What fraction of variability is not accounted for by this model (give value)?
Transcribed Image Text:A statistics instructor wanted to see if it was possible to predict final exam scores based off of the students' midterm exam scores. Here is an analysis of what she found. Final Exam Grades 90 R2 51.12% Se 6.37 80 70 Variable Coefficient Intercept 33.4 60 Midterm Exam Score (slope) 0.58 60 80 Midterm Exam Grades 70 90 (a) Write the equation of the regression line based on this data. (b) If Mike scored a 92 on the midterm, what does this model predict his final exam grade will be? (c) Mike got an 82 on the final. How big or small is his residual (find actual value)? (d) In this context, what does it mean to say a student has a negative residual? (e) Interpret the slope in this context. (f) Interpret the intercept in this context. (g) What fraction of variability is not accounted for by this model (give value)?
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