3. Some sports psychologists believe that an athlete's motivation is related to how many hours they will devote to training in a 2-week period. To see if this is true, a sports trainer measures the motivation (M) and training hours (TH) of a random sample of 8 Olympic-class athletes and obtains the following data: M TH 57 40 74 46 42 38 48 36 75 54 62 42 665 76 550 69 25 a) Is there a significant correlation between M and TH in this sample (a≤.05)? (8 points) b) If another athlete obtained an M score of 70, what would his or her predicted TH score be and what are the 90% bounds to the error of this prediction? (10 points)

3. Some sports psychologists believe that an athlete's motivation is related to how many hours they will devote to training in a 2-week period. To see if this is true, a sports trainer measures the motivation (M) and training hours (TH) of a random sample of 8 Olympic-class athletes and obtains the following data: M TH 57 40 74 46 42 38 48 36 75 54 62 42 665 76 550 69 25 a) Is there a significant correlation between M and TH in this sample (a≤.05)? (8 points) b) If another athlete obtained an M score of 70, what would his or her predicted TH score be and what are the 90% bounds to the error of this prediction? (10 points)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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