PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter P.4, Problem 50E
Solution

To estimate American’s income in 2010, 2013, and 2015.

  in 2010, income was $12.5 trillion,in 2013, income was $14.2 trillion,in 2015, income was $15.4 trillion.

Given:

The equation that models the Americans’ income is, y=0.58x−2010+12.5 , where x is the year.

Concept Used:

  • The slope-intercept form of a line is y=mx+b, where m is the slope of the line and b is the y -intercept of the line.
  • Slope of the line passing through the points x1,y1 and x2,y2 is given by m=y2−y1x2−x1
  • The slope of a line is defined as rise over run

Calculation:

In order to find the Americans’ income in 2010, substitute x=2010 into the given equation and simplify further as shown below,

  y=0.58x−2010+12.5y=0.582010−2010+12.5y=0.580+12.5y=0+12.5y=12.5

Thus, the Americans, income in 2010 is 12.5 trillion dollars.

By following the same procedure, using the linear equation the income in 2013 is 14.2 trillion dollars and in 2015 it was 15.4 trillion dollars.

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Chapter P.4, Problem 49E
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Chapter P.4, Problem 51E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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