Chapter 14, Problem 1P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

**a.** What information is provided by the sign (+ or −) of the Pearson correlation?

**b.** What information is provided by the numerical value of the Pearson correlation?

**a.**

To determine

**To explain:** The information provided by sign of Pearson correlation.

Answer

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation

**Justification:**

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

Where the co-variability of the variable *X* and *Y* is

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

**b.**

To determine

**To explain:** The information provided by numerical value of the Pearson correlation.

Answer

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation

**Justification:**

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

Where the co variability of the variable x and y is

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

Understanding Basic Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Probability and Statistics for Engineering and the Sciences

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Trigonometry (MindTap Course List)

Calculus: Early Transcendentals

Contemporary Mathematics for Business & Consumers

Single Variable Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendental Functions

Intermediate Algebra

Calculus (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Calculus: An Applied Approach (MindTap Course List)

Elementary Geometry For College Students, 7e

Single Variable Calculus

Calculus of a Single Variable

Elements Of Modern Algebra

Calculus: Early Transcendental Functions (MindTap Course List)

Multivariable Calculus

Finite Mathematics and Applied Calculus (MindTap Course List)

Elementary Technical Mathematics

Finite Mathematics

Mathematical Excursions (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Finite Mathematics for the Managerial, Life, and Social Sciences

Mathematical Applications for the Management, Life, and Social Sciences

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Multivariable Calculus, 8th

Elementary Geometry for College Students

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Find all the answers to your study problems with bartleby.

Textbook solutions plus Q&A. Get As ASAP *arrow_forward*