Question

10 points) 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 = 2.6 + 0.0023 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.

Answer 1

Solution : Given data. Regression equation for this Bird, Where DD = 2.6 +0.0023D Y = atbal DD' = The relation op dive duration DD measured in minutes (min) 'D' = Depth 'D' measured in meters a is Intercept, be's slope of regression the slope of the Reggiession line? a) What is The slope of the regnienion line is 0.0023 b) How long does a typicad dive to a depth of 100 meters Last ? Let use substitute D = 100 in gleggiession eqn D'is slope =100 (given) DD = 206+ 0.0023 (100) = 2.6 + 0.23 - 2.83 DD (ON) Y = 2.83 minutes