A mathematics placement test is given to all entering freshmen 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. (a) Plot a scatter diagram. (b) Find the equation of the regression line to predict course grades from placement test scores. (b) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course? Placement Test Course Grade 50 35 35 53 41 61 40 55 65 56 68 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 60 71 71 40 47 55 53 68 57 50 65 50 79

A mathematics placement test is given to all entering freshmen 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. (a) Plot a scatter diagram. (b) Find the equation of the regression line to predict course grades from placement test scores. (b) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course? Placement Test Course Grade 50 35 35 53 41 61 40 55 65 56 68 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 60 71 71 40 47 55 53 68 57 50 65 50 79

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
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