An astronomer has discovered a new planetoid about 1.2 AU from the Sun. According to the line of

step 1 Okay, so for this one, we're looking for a new planetoid at 1 .2 AU from the Sun. So then we're

An astronomer has discovered a new planetoid about 1.2 AU...

An astronomer has discovered a new planetoid about 1.2 $\mathrm{AU}$ from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter? \begin{equation} \begin{array}{l}{\text { A) } 3.6} \\ {\text { B) } 4.1} \\ {\text { C) } 4.6} \\ {\text { D) } 5.5}\end{array} \end{equation}

An astronomer has discovered a new planetoid about
1.2 $\mathrm{AU}$ from the Sun. According to the line of best
fit, which of the following best approximates the
density of the planetoid, in grams per cubic
centimeter?
\begin{equation}
\begin{array}{l}{\text { A) } 3.6} \\ {\text { B) } 4.1} \\ {\text { C) } 4.6} \\ {\text { D) } 5.5}\end{array}
\end{equation}

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Key Concepts

Astronomical Units (AU)

An astronomical unit is a standard measure of distance in astronomy, roughly equal to the average distance between the Earth and the Sun. It is used to express distances within our solar system and enables comparisons and scaling of various celestial properties.

Linear Regression and Line of Best Fit

Linear regression is a statistical method used to model the relationship between two variables by fitting a linear equation. The 'line of best fit' represents this relationship in graphical form, allowing for prediction and estimation of values, such as density, from known data points.

Density

Density is a measure of mass per unit volume, typically expressed in grams per cubic centimeter. In astronomy, estimating the density of celestial bodies can reveal insights into their composition and internal structure.

Interpolation

Interpolation is a technique used to estimate unknown values that fall within the range of known data points. When combined with a line of best fit, interpolation allows for the approximation of values like a planetoid's density based on its distance from the Sun.

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