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Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specified angle and speed. The important question is then "Does this measure of cardiovascular fitness translate into performance in a 10-km running race?" Twenty experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10-km race. The data are given here. a. b. C. d. Treadmill Time (minutes) 7.5 7.8 7.9 8.1 8.3 8.7 8.9 9.2 9.4 10-km Time (minutes) 43.5 45.2 44.9 41.1 43.8 44.4 42.7 43.1 41.8 Treadmill Time (minutes) 10.1 10.3 10.5 10.7 10.8 10.9 11.2 11.5 10-km Time (minutes) 39.5 38.2 43.9 37.1 37.7 39.2 35.7 37.2 34.8 38.5 11.7 11.8 9.8 43.7 Construct the scatter plot to see the appropriateness of a linear model and comment on it? Obtain the estimated linear regression model ŷ = ₁ + ₁x X Estimate oz. Find the standard error of B₁.

Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specified angle and speed. The important question is then "Does this measure of cardiovascular fitness translate into performance in a 10-km running race?" Twenty experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10-km race. The data are given here. a. b. C. d. Treadmill Time (minutes) 7.5 7.8 7.9 8.1 8.3 8.7 8.9 9.2 9.4 10-km Time (minutes) 43.5 45.2 44.9 41.1 43.8 44.4 42.7 43.1 41.8 Treadmill Time (minutes) 10.1 10.3 10.5 10.7 10.8 10.9 11.2 11.5 10-km Time (minutes) 39.5 38.2 43.9 37.1 37.7 39.2 35.7 37.2 34.8 38.5 11.7 11.8 9.8 43.7 Construct the scatter plot to see the appropriateness of a linear model and comment on it? Obtain the estimated linear regression model ŷ = ₁ + ₁x X Estimate oz. Find the standard error of B₁.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specified angle and speed. The important question is then "Does this measure of cardiovascular fitness translate into performance in a 10-km running race?" Twenty experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10-km race. The data are given here. a. b. C. d. Treadmill Time (minutes) 7.5 7.8 7.9 8.1 8.3 8.7 8.9 9.2 9.4 10-km Time (minutes) 43.5 45.2 44.9 41.1 43.8 44.4 42.7 43.1 41.8 Treadmill Time (minutes) 10.1 10.3 10.5 10.7 10.8 10.9 11.2 11.5 10-km Time (minutes) 39.5 38.2 43.9 37.1 37.7 39.2 35.7 37.2 34.8 38.5 11.7 11.8 9.8 43.7 Construct the scatter plot to see the appropriateness of a linear model and comment on it? Obtain the estimated linear regression model ŷ = ₁ + ₁x X Estimate oz. Find the standard error of B₁.
Transcribed Image Text:Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specified angle and speed. The important question is then "Does this measure of cardiovascular fitness translate into performance in a 10-km running race?" Twenty experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10-km race. The data are given here. a. b. C. d. Treadmill Time (minutes) 7.5 7.8 7.9 8.1 8.3 8.7 8.9 9.2 9.4 10-km Time (minutes) 43.5 45.2 44.9 41.1 43.8 44.4 42.7 43.1 41.8 Treadmill Time (minutes) 10.1 10.3 10.5 10.7 10.8 10.9 11.2 11.5 10-km Time (minutes) 39.5 38.2 43.9 37.1 37.7 39.2 35.7 37.2 34.8 38.5 11.7 11.8 9.8 43.7 Construct the scatter plot to see the appropriateness of a linear model and comment on it? Obtain the estimated linear regression model ŷ = ₁ + ₁x X Estimate oz. Find the standard error of B₁.
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