An experiment is run. The mass of an object is recorded over time.
\begin{tabular}{|r|r|}
\hline Time (min) & Mass (g) \\
\hline 11 & 47 \\
\hline 17 & 37 \\
\hline 35 & 27 \\
\hline 40 & 17 \\
\hline 47 & 14 \\
\hline
\end{tabular}
Clear All Draw: Dot
Using your calculator, run a linear regression to determine the equation of the line of best fit. Round to two decimal places, use $x$ for the variable.
$y=$
Using your equation, estimate the mass of the object at 50 minutes.
grams
Answer
\(\boxed{\text{The estimated mass of the object at 50 minutes is approximately 10.79 grams}}\)
Step 1 ：Given data points:\begin{tabular}{|r|r|} \hline Time (min) & Mass (g) \\ \hline 11 & 47 \\ \hline 17 & 37 \\ \hline 35 & 27 \\ \hline 40 & 17 \\ \hline 47 & 14 \\ \hline \end{tabular}
Step 2 ：Run a linear regression to determine the equation of the line of best fit, rounding to two decimal places: \(y = -0.98x + 58.15\)
Step 3 ：Use the equation to estimate the mass of the object at 50 minutes: \(y = -0.98(50) + 58.15\)
Step 4 ：Calculate the estimated mass: \(y = 10.79\)
Step 5 ：\(\boxed{\text{The estimated mass of the object at 50 minutes is approximately 10.79 grams}}\)
