PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Concept explainers

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 6, Problem 2STP
To determine

To find: which of the following equations represents the best model for a data set consisting of the points (-2,6),(-1,4),(0,3),(1,1),(2,-1).

   (A) y=−2x−1   (B) y=−1.7x+2.6

   (C) y=−2x2−1   (D) y=−1.7x2+2.6

Expert Solution & Answer
Check Mark

Answer to Problem 2STP

(B) y=−1.7x+2.6 .

Explanation of Solution

Given information:

The points (-2,6),(-1,4),(0,3),(1,1),(2,-1).

Calculation:

Using the regression calculator on the given points (-2,6),(-1,4),(0,3),(1,1),(2,-1).

The best model for the data set is:

  Sum of  x  = 0

  Sum of  y  = 13

  Mean  x  = 0

  Mean  y  = 2.6

  Sum of squares ( SSx ) = 10

  Sum of products (SP) = -17

  Regression Equation = y =  bx  + a

  b = SP/ SSx  = -17/10 = -1.7

  a = My  -  bMx  = 2.6 - (-1.7*0) = 2.6

   y = -1. 7x  + 2.6.

Hence, the equation represents the best model for a data set consisting of the points

(-2,6),(-1,4),(0,3),(1,1),(2,-1) is (B) y=−1.7x+2.6 .

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Chapter 6, Problem 1STP
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Chapter 6, Problem 3STP

Chapter 6 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
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