Explanation Formula used: The correlation coefficient , r = n ( ∑ x y ) − ( ∑ x ) ( ∑ y ) ( n ( ∑ x 2 ) − ( ∑ x ) 2 ) ( n ( ∑ y 2 ) − ( ∑ y ) 2 ) . The line of best fit: The equation of the line of best fit is y = m x + b , where m = n ( ∑ x y ) − ( ∑ x ) ( ∑ y ) ( n ( ∑ x 2 ) ) − ( ∑ x ) 2 and b = ∑ y − m ( ∑ x ) n . Calculation: From the given table, it is observed that the bivariate data is seven. That is, the value of n is 7. Compute the needed values to finding correlation coefficient in Table 1. x x 2 y y 2 x y 90 ( 90 ) 2 = 8100 90 ( 90 ) 2 = 8100 ( 90 ) ( 90 ) = 8100 70 ( 70 ) 2 = 4900 70 ( 70 ) 2 = 4900 ( 70 ) ( 70 ) = 4900 65 ( 65 ) 2 = 4225 65 ( 65 ) 2 = 4225 ( 65 ) ( 65 ) = 4225 60 ( 60 ) 2 = 3600 60 ( 60 ) 2 = 3600 ( 60 ) ( 60 ) = 3600 50 ( 50 ) 2 = 2500 50 ( 50 ) 2 = 2500 ( 50 ) ( 50 ) = 2500 40 ( 40 ) 2 = 1600 40 ( 40 ) 2 = 1600 ( 40 ) ( 40 ) = 1600 15 ( 15 ) 2 = 225 15 ( 15 ) 2 = 225 ( 15 ) ( 15 ) = 225 ( ∑ x ) = 390 ( ∑ x 2 ) = 25150 ( ∑ y ) = 390 ( ∑ y 2 ) = 25150 ( ∑ x y ) = 25150 Table 1

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

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 12.6, Problem 34E

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The equation of the line of best fit from the data in Exercise 26.

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Chapter 12.6, Problem 33E

Chapter 12.6, Problem 35E

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The equation of the line of best fit from the data in Exercise 26.

Solution Summary: The author explains the equation of the line of best fit from the data in Exercise 26.

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The equation of the line of best fit from the data in Exercise 26.

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