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 :\(\boxed{\text{The estimated mass of the object at 50 minutes is approximately 10.79 grams}}\)