(2 pts) A study of king penguins looked for a relationship between how deep the
ID: 206101 • Letter: #
Question
(2 pts) 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 = 2.2 + 0.0052 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 350 meters last? ANSWER minutes.
Explanation / Answer
Th equation for regression equation is DD = 2.2 + 0.0052 D
a) The slope of the regression line = 0.0052 minutes/meter.
b) The dive time required for 350 m will be
D = 2.2 + 0.0052 x 350 = 4.02 minutes.
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