Suppose we want to be able to predict final exam grades using students\' grades

Question

Suppose we want to be able to predict final exam grades using students' grades from Exam #1 from the beginning of the semester. See the table below. We obtain the following regression equation: y=0.1309+74.3538x The slope, , can be interpreted as which of the following?

1) For every 1 point increase in the final exam grade, Exam #1 grade will increase by 74.3538 points.

2) For every 1 point increase in Exam #1 grade, the final exam grade will increase by 74.3538 points.

3) For every 1 point increase in Exam #1 grade, the final exam grade will increase by 0.1309 points.

4) For every 1 point increase in the final exam grade, Exam #1 grade will increase by 0.1309 points.

Exam #1 Grade(x) 61 99 69 94 75 74 69 77 85 72 Final Exam Grade (y) 96 79 68 92 92 63 74 87 100 94

Explanation / Answer

Here,

y=0.1309+74.3538x

So

slope = Beta = 74.3538

Hence, every 1 unit increase in x means 74.3538 increase in y, so

OPTION 2: 2) For every 1 point increase in Exam #1 grade, the final exam grade will increase by 74.3538 points. [ANSWER]

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