Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q. 4.36 (page 173)

Regarding the line that best fits a set of data points,

a. What is that line called?

b. What is the equation of that line called?

Short Answer

Expert verified

a. Regression line.

b. Regression equation.

Step by step solution

01

Part(a) Step 1: Given information

We need to find the line that best fits a set of data points.

02

Part(a) Step 2: Explanation

The regression line is the line that best fits a group of data points is called . It is the line that most closely resembles the data and has the shortest overall distance between it and the graph's points.

03

Part(b) Step 1: Given information 

We need to find the equation of this line that best fits a set of data points.

04

Part(b) Step 2: Explanation

The equation of this line is called regression equation. It is used to determine if there is a relationship between two pieces of data. It has the form y=ax+b, with y as the dependent variable, x as the independent variable, b as the line's slope and a as the y-intercept.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

The y-intercept of a line has no effect on the steepness of the line.

U.S. Presidents. The data from Exercise 4.71 for the ages at the inauguration and of death for the presidents of the United States are on the Weissstats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the two variables in question.

More Money, More Beer?Does a higher state per capita income equate to a higher per capita beer consumption? From the document Survey of Current Business, published by the U.S. Bureau of Economic Analysis, and from the Brewer's Almanac, published by the Beer Institute, we obtained data on personal income per capita, in thousands of dollars, and per capita beer consumption, in gallons, for the 50states and Washington. D.C. Those data are provided on the Weiss Stats site.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).

A value of rclose to ------- indicates that there is either no linear relationship between the variables or a weak one.

Answer true or false to each statement, and explain your answers.

a. The graph of a linear equation slopes upward unless the slope is 0 .

b. The value of the y-intercept has no effect on the direction that the graph of a linear equation slopes.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

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.

Sign-up for free