A study of king penguins looked for a relationship between how deep the penguins

Question

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 = 2.86 + 0.0131 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 225 meters last?
ANSWER    minutes.

Explanation / Answer

(a) Since the given regression line equation is simple linear regression line, the slope coefficient or regression coefficient is 0.0131 minutes per meter

(b) D = 225 meters, this will be substitued in the regression equation to get the dive duration

      DD = 2.86+0.0131 (225)

          =5.8075 minutes the bird can dive to a depth of 225 meters last.

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