Problem

An experiment is run. The mass of an object is recorded over time. \begin{tabular}{|c|c|} \hline Time (min) & Mass (g) \\ \hline 19 & 40 \\ \hline 28 & 34 \\ \hline 29 & 27 \\ \hline 40 & 26 \\ \hline 46 & 22 \\ \hline \end{tabular} Plot the points in the grid below. 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. \[ y= \]

Solution

Step 1 :An experiment is run. The mass of an object is recorded over time. The data is as follows: \n\n\begin{tabular}{|c|c|}\n\hline Time (min) & Mass (g) \\ \hline 19 & 40 \\ \hline 28 & 34 \\ \hline 29 & 27 \\ \hline 40 & 26 \\ \hline 46 & 22 \\ \hline\end{tabular}

Step 2 :Plot the points in the grid below.

Step 3 :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.

Step 4 :Create two lists, one for time and one for mass. Use these lists to perform a linear regression.

Step 5 :Time = [19, 28, 29, 40, 46] and Mass = [40, 34, 27, 26, 22]

Step 6 :The slope of the line of best fit is -0.62 and the intercept is 49.86.

Step 7 :The equation of the line of best fit is \(y = -0.62x + 49.86\). This equation can be used to predict the mass of the object at any given time.

Step 8 :Final Answer: The equation of the line of best fit is \(\boxed{y = -0.62x + 49.86}\).

From Solvely APP
Source: https://solvelyapp.com/problems/7O0klGCnuX/

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