The table shows 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 (ln 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 (ln t, y) and obtain the logarithmic model y = a + b ln t.

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

Transcribed Image Text:

Minutes, t Yield, y Minutes, t Yield, y 1 2 1.2 7.1 5 6 15.5 16.0 3 9.9 7 17.9 4 13.1 8 18.0