A Distant Asteroid Is Discovered That Takes 50 Years to Orbit

question 285

Multiple Choice

A distant asteroid is discovered that takes 50 years to orbit the Sun once. According to Kepler's third law, what is the average distance of this asteroid from the Sun?

• A) 2500 au
• B) 50 au
• C) 353 au (square root of 125,000)
• D) 13.6 au (cube root of 2500)

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Definitions:

Population Slope

The slope coefficient in a regression model that describes the relationship between a dependent variable and one or more independent variables in the population.

Null Hypothesis

A statement used in hypothesis testing that assumes no effect or no difference, and it's the assumption that is tested for possible rejection.

Error Variable \(ε\)

A term in regression models representing the difference between observed and predicted values, capturing unexplained or random effects.

Student t-Distribution

Describes the frequency and probability distribution of sample means when the sample size is small and the population standard deviation is unknown.