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?

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

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 -

= 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 -

= 0.5973*78 + 33.51

= 80.0994

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

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