Explanation Given: Consider a set of xy pairs such that each pair, x and y are related by the equation y = 3 x + 5 . 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: Given that y = 3 x + 5 . Substitute the values in r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 = n ∑ x ⋅ ( 3 x + 5 ) − ( ∑ x ) ( ∑ ( 3 x + 5 ) ) n ( ∑ x 2 ) − ( ∑ x

6th Edition

ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

See similar textbooks

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…

Videos

Question

Chapter 14.5, Problem 27E

To determine

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.5, Problem 26E

Chapter 14.CR, Problem 1CR

Students have asked these similar questions

Differentiate the following function

2. You manage a chemical company with 2 warehouses. The following quantities of Important Chemical A have arrived from an international supplier at 3 different ports: Chemical Available (L) Port 1. 400 Port 2 110 Port 3 100 The following amounts of Important Chemical A are required at your warehouses: Warehouse 1 Warehouse 2 Chemical Required (L) 380 230 The cost in £ to ship 1L of chemical from each port to each warehouse is as follows: Warehouse 1 Warehouse 2 Port 1 £10 £45 Port 2 £20 £28 Port 3 £13 £11 (a) You want to know how to send these shipments as cheaply as possible. For- mulate this as a linear program (you do not need to formulate it in standard inequality form). (b) Suppose now that all is as in the previous question but that only 320L of Important Chemical A are now required at Warehouse 1. Any excess chemical can be transported to either Warehouse 1 or 2 for storage, in which case the company must pay only the relevant transportation costs, or can be disposed of at the…

choose true options in these from given question a) always full and always crossing. b) always full and sometimes crossing. c) always full and never crossing. d) sometimes full and always crossing. e) sometimes full and sometimes crossing. f) sometimes full and never crossing. g) never full and always crossing. h) never full and sometimes crossing. i) never full and never crossing.

Chapter 14 Solutions

Mathematics All Around (6th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y = 3 x + 5 .

Solution Summary: The author explains the linear correlation coefficient for a set of xy pairs if each pair is related by the equation y=3x+5.

Concept explainers

Videos

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Want to see the full answer?

Chapter 14 Solutions

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y = 3 x + 5 .

Solution Summary: The author explains the linear correlation coefficient for a set of xy pairs if each pair is related by the equation y=3x+5.

Concept explainers

Videos

To describe: The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.

Want to see the full answer?

Chapter 14 Solutions

To describe:

The linear correlation coefficient for a set of xy pairs if in each pair, x and y are related by the equation y=3x+5.