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. y 16,704 n = 20 Σ×= 50 ΣΥ=16 Σy = 14,194,228 Σxy = 44,195 (a) Estimate the slope of the population regression line. Σχ. = 150 Estimate y intercept of the population regression line. residual (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? ý = (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. y 16,704 n = 20 Σ×= 50 ΣΥ=16 Σy = 14,194,228 Σxy = 44,195 (a) Estimate the slope of the population regression line. Σχ. = 150 Estimate y intercept of the population regression line. residual (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? ý = (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.)
Chapter4: Linear Functions
Section: Chapter Questions
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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.
n = 20 Σχ= 50 Σy = 16,704 Σχ
Σy = 14,194,228 Σxy = 44,195
(a) Estimate the slope of the population regression line.
x² = 150
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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