A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D)." Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is DD = 2.69 + 0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope (b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration = minutes
A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D)." Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is DD = 2.69 + 0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope (b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration = minutes
MATLAB: An Introduction with Applications
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![(c) According to the regression line, how long does a typical dive to a depth of 151 meters last? (Enter your answer
rounded to three decimal places.)
length of dive =
minutes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0099a628-cf46-4000-ad1c-d9f2a43c0b57%2Fe1b679c3-99d1-4643-b7a5-be9db345c871%2Fdhayif_processed.png&w=3840&q=75)
Transcribed Image Text:(c) According to the regression line, how long does a typical dive to a depth of 151 meters last? (Enter your answer
rounded to three decimal places.)
length of dive =
minutes
![A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they
stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The
study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D)." Duration DD is
measured in minutes, and depth D is in meters. The report then says, "The regression equation for this bird is
DD = 2.69 + 0.0138D.
(a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.)
slope =
(b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your
answer rounded to four decimal places.)
increase in duration =
minutes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0099a628-cf46-4000-ad1c-d9f2a43c0b57%2Fe1b679c3-99d1-4643-b7a5-be9db345c871%2F4zgun8h_processed.png&w=3840&q=75)
Transcribed Image Text:A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they
stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The
study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D)." Duration DD is
measured in minutes, and depth D is in meters. The report then says, "The regression equation for this bird is
DD = 2.69 + 0.0138D.
(a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.)
slope =
(b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your
answer rounded to four decimal places.)
increase in duration =
minutes
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