For the Same Set of Observations on a Specified Dependent

question 112

Multiple Choice

For the same set of observations on a specified dependent variable y,two different independent variables x₁and x₂were used to fit two separate simple linear regression models.Model 1 used x₁as the independent variable,and Model 2 used x₂as the independent variable.If the r² values from Model 1 and Model 2 were 0.92 and 0.85,respectively,then we can conclude that:

• A)Model 1 has greater utility in predicting y than Model 2.
• B)Model 2 has greater utility in predicting y than Model 1.
• C)There is not sufficient information to determine which of the two models has greater utility in predicting y.

---

Definitions:

Annelida

A phylum of segmented worms including earthworms, leeches, and their relatives, characterized by a segmented body and often a well-developed coelom.

Echinodermata

A phylum of marine animals characterized by radial symmetry, a calcareous endoskeleton, and a water vascular system, including starfish and sea urchins.

Mollusca

A diverse phylum of invertebrate animals with a soft body, which in many species is protected by a hard shell.

Barnacles

Marine crustaceans with hard protective shells, known for their sessile lifestyle attached to surfaces like rocks, ships, and whale skin.