/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q1 Linear Correlation In this secti... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q1 (page 74)

Linear Correlation In this section we use r to denote the value of the linear correlation coefficient. Why do we refer to this correlation coefficient as being linear?

Short Answer

Expert verified

The term 鈥渓inear鈥� is used to describe the correlation coefficient because the correlation coefficient represented by r can be used to assess the straight-line pattern between the two variables on a scatterplot.

Step by step solution

01

Given information

It is known that r is used to represent the linear correlation coefficient between two variables.

02

Linearity property of correlation coefficient

The term linear refers to the straight-line pattern in general. On a scatter plot, if the sample values describe any approximate straight-line pattern, then measure r (linear correlation coefficient) can be used for the statistical measurement of strength and direction.

In other words, the term 鈥渓inear鈥� is used to denote the correlation coefficient (r) between two variables becauseit quantifies the straight-line pattern between the two quantitative variables.

As a result, a straight-line relationship is used to define r; linear correlation coefficient.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Linear Correlation Coefficient In Exercises 9鈥�12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 6 鈥淏ear Measurements,鈥� the linear correlation coefficient is r = 0.980.

Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.

Exercise 5 (Age of Best Actress When Oscar Was Won)

Pareto Charts. In Exercises 11 and 12 construct the Pareto chart. Getting a Job In a survey, subjects seeking a job were asked to whom they should send a thank-you note after having a job interview. Results were as follows: 40 said only the person they spent the most time with, 396 said everyone they met, 40 said only the most senior-level person, 15 said the person that they had the best conversation with, and 10 said that they don鈥檛 send thank-you notes (based on data from TheLadders.com). Comment on the results.

Interpreting a Histogram. In Exercises 5鈥�8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 鈥淐oin Weights鈥� in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Sample Size What is the approximate number of quarters depicted in the three bars farthest to the left?

Stemplots. In Exercises 7 and 8, construct the stem plot.

Diastolic Blood Pressure Refer to the data listed in Exercise 6. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. (These values are often used to find the median, which is defined in Section 3-1.)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.