Answer: Modeling Data The data in the table show the yield (in milligrams) of a chemical

Chapter 13, Problem 76

(choose chapter or problem)

Modeling Data The data in the table show the yield y (in milligrams) of a chemical reaction after t minutes.

(a) Use the regression capabilities of a graphing utility to find the least squares regression line for the data. Then use the graphing utility to plot the data and graph the model.

(b) Use a graphing utility to plot the points (In t, y). Do these points appear to follow a linear pattern more closely than the plot of the given data in part (a)?

(c) Use the regression capabilities of a graphing utility to find the least squares regression line for the points (In t, y) and obtain the logarithmic model y = a + b In t.

(d) Use a graphing utility to plot the data and graph the linear and logarithmic models. Which is a better model? Explain.

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