Credit card companies aggressively compete for credit card holders. The percentage of Americans having credit cards has increased in recent years, as shown in the following table. Percentage of Americans Having a Credit Card Year 1989 1992 1995 1998 2001 Percentage 56.0 62.4 66.4 67.5 72.7 (a) Use these data to determine the linear least squares regression function with percentage having a credit card as a function of years since 1989 (x = 0 for 1989). (Round any numerical values to two decimal places.) f(x) = (b) Use the linear function to estimate the percentage having a credit card in 1981. (Round your answer to one decimal place.) % (c) Use the linear function to estimate the percentage having a credit card in 2007. (Round your answer to one decimal place.) (d) According to the function, when will 100% of Americans have a credit card? (Round your answer to the nearest year.)

Credit card companies aggressively compete for credit card holders. The percentage of Americans having credit cards has increased in recent years, as shown in the following table. Percentage of Americans Having a Credit Card Year 1989 1992 1995 1998 2001 Percentage 56.0 62.4 66.4 67.5 72.7 (a) Use these data to determine the linear least squares regression function with percentage having a credit card as a function of years since 1989 (x = 0 for 1989). (Round any numerical values to two decimal places.) f(x) = (b) Use the linear function to estimate the percentage having a credit card in 1981. (Round your answer to one decimal place.) % (c) Use the linear function to estimate the percentage having a credit card in 2007. (Round your answer to one decimal place.) (d) According to the function, when will 100% of Americans have a credit card? (Round your answer to the nearest year.)

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Description: Finite Mathematics Credit card companies aggressively compete for credit card holders. The percentage of Americans having credit cards has increased in recent years, as shown in the following table.Percentage of AmericansHaving a Credit CardYear19891

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Finite Mathematics

Credit card companies aggressively compete for credit card holders. The percentage of Americans having credit cards has increased in recent years, as shown in the following table.
Percentage of Americans
Having a Credit Card
Year
1989
1992
1995
1998
2001
Percentage
56.0
62.4
66.4
67.5
72.7
(a) Use these data to determine the linear least squares regression function with percentage having a credit card as a function of years since 1989 (x = 0 for 1989).
(Round any numerical values to two decimal places.)
f(x) =
(b) Use the linear function to estimate the percentage having a credit card in 1981. (Round your answer to one decimal place.)
%
(c) Use the linear function to estimate the percentage having a credit card in 2007. (Round your answer to one decimal place.)
(d) According to the function, when will 100% of Americans have a credit card? (Round your answer to the nearest year.)

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