/*! 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} Q. 4.35 Regarding the criterion used to ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Regarding the criterion used to decide on the line that best fits a set of data points,

a. What is that criterion called?

b. Specifically, what is the criterion?

Short Answer

Expert verified

a. Least-squares criterion

b. The least-squares criterion states that the line with the smallest possible sum of squared errors best fits a set data points.

Step by step solution

01

Part(a) Step 1: Given information

We need to find the criterion used to decide on the line that best fits a set of data points.

02

Part(a) Step 2: Explanation

The criterion is called least-squares criterion.

03

Part(b) Step 1: Given information 

We need to explain the criterion used to decide on the line that best fits a set of data points.

04

Part(b) Step 2: Explanation

The least-squares criterion states that the line with the smallest possible sum of squared errors best fits a set data points.

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 91Ó°ÊÓ!

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

One use of the linear correlation coefficient is as a descriptive measure of the strength of the-------- relationshảp between two variables.

For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

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 Knight-Ridder News Service article in an issue of the Wichita Eagle discussed a study on the relationship between country music and suicide. The results of the study. coauthored by S. Stack and J. Gundlach, appeared as the paper "The Effect of Country Music on Suicide" (Social Forces, Vol. 71, Issue 1. Pp. 211-218). According to the article, " analysis of 49 metropolitan areas shows that the greater the airtime devoted to country music. the greater the white suicide rate," (Suicide rates in the black population were found to be uncorrelated with the amount of country music airtime.)

(a). Use the terminology introduced in this section to describe the statement quoted above.

(b). One of the conclusions stated in the journal article was that country music "nurtures a suicidal mood" by dwelling on marital status and alienation from work. Is this conclusion warranted solely on the basis of the positive correlation found between airtime devoted to country music and white suicide rate? Explain your answer.

Answer true or false to the following statement and provide a reason for your answer: If there is a very strong positive correlation between two variables, a causal relationship exists between the two variables.

See all solutions

Recommended explanations on Math Textbooks

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.