Question

Using the accompanying Student Grades​ data, construct a scatter chart for midterm versus final exam grades...

Using the accompanying Student Grades​ data, construct a scatter chart for midterm versus final exam grades and add a linear trendline. What is the​ model? If a student scores 7878 on the​ midterm, what would you predict her grade on the final exam to​ be?

Student Midterm Final Exam
1 75 64
2 85 91
3 80 68
4 88 83
5 76 60
6 67 80
7 78 74
8 95 94
9 67 61
10 93 87
11 79 53
12 86 82
13 87 56
14 62 73
15 93 86
16 75 90
17 68 81
18 91 93
19 79 79
20 61 70
21 69 83
22 70 73
23 60 75
24 69 55
25 75 93
26 73 78
27 100 90
28 57 53
29 83 77
30 72 82
31 78 70
32 96 98
33 71 93
34 72 81
35 71 81
36 95 96
37 72 62
38 89 83
39 93 96
40 86 90
41 60 73
42 65 92
43 96 84
44 82 86
45 89 99
46 92 96
47 79 92
48 86 94
49 90 78
50 74 81
51 96 99
52 80 73
53 61 79
54 69 75
55 86 91
56 88 96


What is the model for the​ trendline?

Final Exam Grade= ?+?×Midterm Grade

If a student scores 78 on the​ midterm, her predicted final exam grade would be?

Homework Answers

Answer #1

From the given data, scatter plot of midterm grades vs final term grades is as follows-

From the above scatter plot, regression model obtained is simple regression model as there is only one regressor. Model for trendline is y = 0.5973x + 33.51 i.e. Final grades = 0.5973x(Midterm grades) + 33.51.

Now, we have to predict final exam grades, if student scores 7878 on the midterm -

Hence, from the above equation -

Final grades = 0.5973x(Midterm grades) + 33.51

= 0.5973*7878 + 33.51

= 4739.039

4739.039 will be the final score if student scored 7878 at midterm.

If student scores 78 on the mid term then final score will be -

Final grades = 0.5973x(Midterm grades) + 33.51

= 0.5973*78 + 33.51

= 80.0994

80.0994 will be the final score if student scored 78 at midterm.

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