Question: Figure 64 displays a scatterplot that compares the mean lengths with the mean heights of 51 types of dinosaurs. There are two main categories (called
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Let L be the mean length and H be the mean height, both in meters, of a dinosaur.
a. Describe the four characteristics of the Saurischian association. You do not have to compute r.
b. Describe the four characteristics of the Ornithischian association. You do not have to compute r.
c. For the Saurischian association, r = 0.94. For the Ornithischian association, r = 0.75. Compare these results with your responses to parts (a) and (b).
d. The mean length (45.7 meters) of a Seismosaurus is an outlier for the distribution of mean lengths of the 51 types of dinosaurs. The mean height (25.6 meters) of a Seismosaurus is an outlier for the distribution of mean heights of the 51 types of dinosaurs. Is the data point (45.7, 25.6) an outlier for the association of lengths and heights of dinosaurs? Explain.
e. If the association of lengths and heights of individual dinosaurs were analyzed rather than the association of mean lengths and mean heights of types of dinosaurs, how would the values of the Saurischian and Ornithischian correlation coefficients change? Explain.
Dinosaur Lengths versus Heights 30 B 25 20 15 10 Type of Dinosaur .Omithischian eSaurischian 10 20 30 4050 Mean length (meters)
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a There are no outliers The association is strong positive ... View full answer
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