Explanation Given: The given xy pairs are (11, 5), (15, 8), (12, 3), (12, 6). Definition used: If we have pairs of data for two variables x and y , the linear correlation coefficient for these data, denoted by r , is given by the formula r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 , where n is the number of pairs of data we have for x and y . Calculation: Consider the given xy pairs. The computations to calculate correlation coefficient is shown below x y xy x 2 y 2 11 5 55 121 25 15 8 120 125 64 12 3 36 144 9 12 6 72 144 36 ∑ x = 50 ∑ y = 22 ∑ x y = 283 ∑ x 2 = 634 ∑ y 2 = 134 Substitute the known values in r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2

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ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

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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.

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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.

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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 14.5, Problem 9E

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Whether we can be 95% or 99% confident that there is significant linear correlation between x and y.

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Chapter 14.5, Problem 8E

Chapter 14.5, Problem 10E

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Whether we can be 95% or 99% confident that there is significant linear correlation between x and y .

Solution Summary: The author explains that there is no significant linear correlation between x and y for the given confident level.

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To find:

Whether we can be 95% or 99% confident that there is significant linear correlation between x and y.

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Chapter 14 Solutions

Whether we can be 95% or 99% confident that there is significant linear correlation between x and y .

Solution Summary: The author explains that there is no significant linear correlation between x and y for the given confident level.

Concept explainers

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To find: Whether we can be 95% or 99% confident that there is significant linear correlation between x and y.

Want to see the full answer?

Chapter 14 Solutions

To find:

Whether we can be 95% or 99% confident that there is significant linear correlation between x and y.