Math Problem Statement
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 = 2.19 + 0.0048 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 250 meters last? ANSWER minutes.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
Linear equation DD = 2.19 + 0.0048D
Theorems

Suitable Grade Level
Grades 912
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