A biologist is interested in predicting the percentage increase in lung volume when inhaling (y) for a certain species of bird from the percentage of carbon dioxide in the atmosphere (x). Data collected from a random sample of 20 birds of this species were used to create the least-squares regression equation ŷ = 400-0.08x. Which of the following best describes the meaning of the slope of the least-squares regression line? (A) The percentage increase in lung volume when inhaling increases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (B) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for every 1 percent increase in lung volume when inhaling. (C) The percentage increase in lung volume when inhaling decreases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (D) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for every 1 percent increase in lung volume when inhaling. (E) Approximately 8% of the variability in the percentage increase in lung volume when inhaling is explained by its linear relationship with the percentage of carbon dioxide in the atmosphere.
A biologist is interested in predicting the percentage increase in lung volume when inhaling (y) for a certain species of bird from the percentage of carbon dioxide in the atmosphere (x). Data collected from a random sample of 20 birds of this species were used to create the least-squares regression equation ŷ = 400-0.08x. Which of the following best describes the meaning of the slope of the least-squares regression line? (A) The percentage increase in lung volume when inhaling increases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (B) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for every 1 percent increase in lung volume when inhaling. (C) The percentage increase in lung volume when inhaling decreases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (D) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for every 1 percent increase in lung volume when inhaling. (E) Approximately 8% of the variability in the percentage increase in lung volume when inhaling is explained by its linear relationship with the percentage of carbon dioxide in the atmosphere.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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Transcribed Image Text:A biologist is interested in predicting the percentage increase in lung volume when inhaling (y) for a
certain species of bird from the percentage of carbon dioxide in the atmosphere (x). Data collected
from a random sample of 20 birds of this species were used to create the least-squares regression
equation ŷ = 400-0.08x. Which of the following best describes the meaning of the slope of the
least-squares regression line?
(A) The percentage increase in lung volume when inhaling increases by 0.08 percent, on average, for
every 1 percent increase in the carbon dioxide in the atmosphere.
(B) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for
every 1 percent increase in lung volume when inhaling.
(C) The percentage increase in lung volume when inhaling decreases by 0.08 percent, on average,
for every 1 percent increase in the carbon dioxide in the atmosphere.
(D) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for
every 1 percent increase in lung volume when inhaling.
(E) Approximately 8% of the variability in the percentage increase in lung volume when inhaling is
explained by its linear relationship with the percentage of carbon dioxide in the atmosphere.
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