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(1 point) A study of king penguins looked for a relationship between how deep th

ID: 3127767 • Letter: #

Question

(1 point) 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 = 2.93 + 0.0063 D.

(a) What is the slope of the regression line?.
ANSWER ______ minutes per meter.

(b) According to the regression line, how long does a typical dive to a depth of 100 meters last?
ANSWER _____minutes.

Explanation / Answer

(1 point) 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 = 2.93 + 0.0063 D.

(a) What is the slope of the regression line?.
ANSWER 0.0063 minutes per meter.

(b) According to the regression line, how long does a typical dive to a depth of 100 meters last?
ANSWER 3.56 minutes.

DD = 2.93 + 0.0063*100 = 3.56