Question

Researchers want to survey the mass of American alligators in a certain region. They want to maximize the efficiency of this effort, and get as many measurements as possible. Capturing alligators, putting them on a scale, and releasing them involves risk and time. They decide to survey alligators from the air. In this manner they can measure the length of the animals. They want to use these measurements to estimate the mass of the alligators. They have access to data about length and mass of captive alligators.

Which statistical test should they use to evaluate the usefulness of this method?

		Linear regression with t-test for significance of slope
		Chi Squared Test
		Correlation analysis
		ANOVA Which of the following best describes the alternate hypothesis for a t-test on the slope of the line relating alligator length and weight? The slope of the line describing the relationship between length and mass is not equal to zero. The mass of alligators increases as a function of length. The slope of the line between length and mass is zero. The mass of alligators decreases as a function of length

Answer 1

Since they want to check the effect of one variable on another, they should be using linear regression with t-test for significance of slope.

Alternative hypothesis: The slope of the line describing the relationship between length and mass is not equal to zero.