Problem

An experiment is run. The mass of an object is recorded over time. \begin{tabular}{|r|r|} \hline Time (min) & Mass (g) \\ \hline 11 & 50 \\ \hline 15 & 46 \\ \hline 37 & 31 \\ \hline 47 & 18 \\ \hline 50 & 14 \\ \hline \end{tabular} Clear All Draw: Dot Using your calculator, run a linear regression to determine the equation of the line best fit. Round to two decimal places, use $x$ for the variable. $y=$

Solution

Step 1 :Given data points: \(\begin{tabular}{|r|r|} \hline Time (min) & Mass (g) \\ \hline 11 & 50 \\ \hline 15 & 46 \\ \hline 37 & 31 \\ \hline 47 & 18 \\ \hline 50 & 14 \\ \hline \end{tabular}\)

Step 2 :Use linear regression to find the slope and y-intercept of the line of best fit.

Step 3 :Calculate the slope (m) and y-intercept (b): \(m = -0.89\) and \(b = 60.14\)

Step 4 :Write the equation in the form y = mx + b: \(y = -0.89x + 60.14\)

Step 5 :\(\boxed{y = -0.89x + 60.14}\)

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Source: https://solvelyapp.com/problems/17061/

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