An experiment to study the relationship between x = time spent exercising (min) and y = amount of oxygen consumed during the exercise period resulted in the following summary statistics. n = 20 Σ× = 50 Σy = 16,604 Σx2 = 150 Σy = 14,194,230 Σxy = 44,195 (a) Estimate the slope of the population regression line. Estimate y intercept of the population regression line. (b) One sample observation on oxygen usage was 747 for a 2 min exercise period. What amount of oxygen consumption is predicted for this exercise period, and what is the corresponding residual? ŷ= residual (c) Calculate a 99% confidence interval for the average change in oxygen consumption associated with a 1 min increase in exercise time. (Use technology to calculate the critical value. Round your answers to three decimal places.)
An experiment to study the relationship between x = time spent exercising (min) and y = amount of oxygen consumed during the exercise period resulted in the following summary statistics. n = 20 Σ× = 50 Σy = 16,604 Σx2 = 150 Σy = 14,194,230 Σxy = 44,195 (a) Estimate the slope of the population regression line. Estimate y intercept of the population regression line. (b) One sample observation on oxygen usage was 747 for a 2 min exercise period. What amount of oxygen consumption is predicted for this exercise period, and what is the corresponding residual? ŷ= residual (c) Calculate a 99% confidence interval for the average change in oxygen consumption associated with a 1 min increase in exercise time. (Use technology to calculate the critical value. Round your answers to three decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4PPS
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Transcribed Image Text:An experiment to study the relationship between x = time spent exercising (min) and y = amount of oxygen consumed during the exercise period resulted in the following summary statistics.
Σ× = 50 Σy = 16,604 Σχ2 = 150
= 14,194,230 Sxy = 44,195
n = 20
Σ².
(a) Estimate the slope of the population regression line.
Estimate y intercept of the population regression line.
(b) One sample observation on oxygen usage was 747 for a 2 min exercise period. What amount of oxygen consumption is predicted for this exercise period, and what is the corresponding residual?
ŷ =
residual
(c) Calculate a 99% confidence interval for the average change in oxygen consumption associated with a 1 min increase in exercise time. (Use technology to calculate the critical value. Round your
answers to three decimal places.)
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