Approximating Rate of Change Refer to the data in Exercise

Chapter 10, Problem 10.1.1.281

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Approximating Rate of Change Refer to the data in Exercise 24.

(a) Compute the average rate of change, \(\Delta y / \Delta x\), on each subinterval. Make a table showing the midpoints of the subintervals in one column and the average rates of change in the second column.

(b) Make a scatter plot showing the numbers in the second column as a function of the numbers in the first column and find a linear regression model to model the data.

(c) Use the linear regression model in part (b) to approximate the rate of change in 1997 and in 2001, and compare your results to the values found in Exercise 24(c).

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