Math Problem Statement

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Part 1

The total amount of consumer credit has been increasing steadily in recent years. The following table gives the total outstanding consumer credit​ (in billions of​ dollars). Answer parts​ (a) through​ (e) below.

Year

Consumer

Credit

Year

Consumer

Credit   20042004

2250.52250.5

20092009

2557.52557.5

20052005

2303.82303.8

20102010

2645.12645.1

20062006

2437.02437.0

20112011

2757.02757.0

20072007

2540.92540.9

20122012

2926.32926.3

20082008

2597.12597.1

20132013

3099.23099.2

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Part 1

a.

Find an equation for the least squares​ line, letting x equal the number of years since

The equation is

Yequals=84.0584.05xplus+1896.991896.99.

​(Use integers or decimals for any numbers in the equation. Round to two decimal places as​ needed.)

Part 2

b.

Based on the answer to part​ (a), at approximately what rate is consumer credit growing per​ year?

The consumer credit is growing about

​$enter your response here

billion per year.

​(Round to two decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Regression Analysis
Linear Equations
Least Squares Method

Formulas

Least squares regression equation

Theorems

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Suitable Grade Level

Advanced High School / College