(14 points) A mathematics placement test is given to all entering first-year students at a small college. A student who
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(14 points) A mathematics placement test is given to all entering first-year students at a small college. A student who
(14 points) A mathematics placement test is given to all entering first-year students at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the final grades for 20 students who took the regular course were recorded. 40 Placement Test Course Grade 50 35 41 35 61 56 55 68 65 36 35 11 60 70 90 79 35 90 80 四山口听说那umpmannnnn 60 71 60 60 10 55 50 65 50 17 53 68 87 a) Find the equation of the regression line to predict course grades from placement test scores. Interpret the results, including statistical significance, in plain English. (7 points) b) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course? (1 point) c) Compute R2, and interpret it. (2 points) d) Test the hypothesis that Bo = 10 against the alternative that Bo 10. Use a 0.05 level of significance. (4 points)
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