Pre-Calc Homework Solutions 197

# Pre-Calc Homework Solutions 197 - Chapter 4 Review 2701.73...

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41. (a) Regression equation y 5 } 1 1 2 1 7 7 0 .2 1 8 .7 e 3 2 0.36 x } [0, 20] by [ 2 300, 2800] (b) Note that y 95 } d d x } 2701.73(1 1 17.28 e 2 0.36 x ) 2 1 52 2701.73(1 1 17.28 e 2 0.36 x ) 2 2 (17.28)( 2 0.36 e 2 0.36 x ) < The graph of y 9 is shown below. [0, 20] by [ 2 75, 275] Using graphing techniques, y 9 has its maximum at x < 7.92. This corresponds to the year 1998 and represents the inflection point of the logistic curve. The logistic regression equation predicts that the rate of increase in debit card transactions will begin to decrease in 1998, and since y (7.92) < 1351, there are approximately 1351 million transactions that year. (c) As x increases, the value of y will increase toward 2701.73. The logistic regression equation predicts a ceiling of approximately 2702 million transactions per year. 42. f ( x ) 5 2 cos x 2 ˇ 1 w 1 w x w f 9 ( x ) 52 2 sin x 2 } 2 ˇ 1 w 1 1 w x w } x n 1 1 5 x n 2 } f f 9 ( ( x x n n ) ) } 5 x n 2 The graph of y 5 f ( x ) shows that f
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## This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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