A study of king penguins looked for a relationship between howdeep the penguins dive to seek food and how long they stayunderwater. For all but the shallowest dives, there is a linearrelationship that is different for different penguins. The studyreport gives a scatterplot for one penguin titled, “The relation ofdive duration (DD) to depth (D).” Duration DD is measured inminutes, and depth D is in meters. The report then says, “Theregression equation for this bird is DD=2.69+0.0138D.
(a) What is the slope of the regression line? (Enter your answerrounded to four decimal places.)
slope = ?
(b) On average, if the depth of the dive increases by one meter,what is the increase in the diving duration? (Enter your answerrounded to four decimal places.)
increase in duration = ?minutes
(c) According to the regression line, how long does a typicaldive to a depth of 189 meters last? (Enter your answer rounded tothree decimal places.)
length of dive = ?minutes
