ate to the following scenario: is interested in tracking the progress of its stu

Question

ate to the following scenario: is interested in tracking the progress of its students from The Questions 16 and 17 rel performance of 10 students As part of the study, the department tabulates the in an introductory course and in an upper-level course scatterplot below includes the least squares line (the line that best explaine course average based on the lower required for graduation. The -level course average), and its equation: Y-_1.4 + 1X 90 60 70 60 70 80 90 100 Introductory Course Average 16. Which of the following is the correct interpretation of the slope of the regression line? -level a. A student who performs 1 point better than another on the upper odrse is likely to perform 1 point worse in the introductory course who performs 1 point worse than another on the upper-level course is likely to perform 1 point better in the introductoy rforms 1 point better than another in the introductory Is likely to perform 10-1.4-8.6 points better in he upperien course d. A student who performs 1 point ent who performs 1 point better than another on the s likely to perform 1 point better in the upper-level co 17 nt scored an average of 90 in the introductory course. Wha

Explanation / Answer

We are given equation of regression line :

Y = -1.4 + 1X

So slope = 1

Slope is positive , it indicates that as X increases Y also increases or as X decreases Y also decreases.

So As slope is 1,it means that as X increases or decreases by 1 unit , Y is also increases or decreases by 1 unit.

Therefore option d seems to be correct interpretation of the slope.

d) A student who performs 1 point better that another on the introductory course is likely to perform 1 point better in the upper-level course.

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