When a student performs poorly on a midterm exam, the student sometimes is convinced that their score is an anomaly and that they will do much better on the final exam. The data below show the midterm and final scores (out of 100 points) for eight students in an introductory statistics class. Student Midterm Final 1 70 88 52 84 2 58 3 85 4 82 74 5 70 80 40 36 7 85 48 8 85 96 a) Construct a scatterplot for the data. Describe the pattern that you see in the scatterplot. Are there any clusters or outliers? If so, how would you explain them? b) Calculate the regression line for predicting a student's score on the final exam based on the student's score on the midterm.

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When a student performs poorly on a midterm exam, the student sometimes is convinced that their
score is an anomaly and that they will do much better on the final exam. The data below show the
midterm and final scores (out of 100 points) for eight students in an introductory statistics class.
Student Midterm
Final
1
70
88
2
58
52
3
85
84
4
82
74
5
70
80
40
36
7
85
48
8
85
96
a) Construct a scatterplot for the data. Describe the pattern that you see in the scatterplot. Are
there any clusters or outliers? If so, how would you explain them?
b) Calculate the regression line for predicting a student's score on the final exam based on the
student's score on the midterm.
Transcribed Image Text:When a student performs poorly on a midterm exam, the student sometimes is convinced that their score is an anomaly and that they will do much better on the final exam. The data below show the midterm and final scores (out of 100 points) for eight students in an introductory statistics class. Student Midterm Final 1 70 88 2 58 52 3 85 84 4 82 74 5 70 80 40 36 7 85 48 8 85 96 a) Construct a scatterplot for the data. Describe the pattern that you see in the scatterplot. Are there any clusters or outliers? If so, how would you explain them? b) Calculate the regression line for predicting a student's score on the final exam based on the student's score on the midterm.
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