/*! 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. 9 9. Based on the least-squares cr... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

9. Based on the least-squares criterion, the line that best fits a set of data points is the one with the ________possible sum of squared errors.

Short Answer

Expert verified

Based on the least-squares criterion, the line that best fits a set of data points is the one with the smallest possible sum of squared errors.

Step by step solution

01

Concept Introduction

Least-squares criterion:

The line that best fits a set of data points with the minimum sum of squared error is known as the least-squares criteria.

02

Explanation

If the sum of squared errors is the smallest feasible, the line is the best fit for a collection of data.

As a result, the line that best fits a set of data points is the one with the smallest possible sum of squared errors, according to the least-squares criterion.

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

A value of rclose to -----suggests at most a weak linear relationship between the variables.

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

Tax Efficiency. In Exercise 4.58, you determined a regression equation that relates the variables percentage of investments in energy securities and tax efficiency for mutual fund portfolios.

a. Should that regression equation be used to predict the tax efficiency of a mutual fund portfolio with 6.4%of its investments in energy securities? with 15%of its investments in energy securities? Explain your answers.

b. For which percentages of investments in energy securities is use of the regression equation to predict tax efficiency reasonable?

Corvette Prices. In Exercise 4.59. you determined a regression equation that can be used to predict the price of a Corvette, given its age.

a. Should that regression equation be used to predict the price of a 4-year-old Corvette? a 10-year-old Corvette? Explain your answers.

b. For which ages is the use of the regression equation to predict price reasonable?

In the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (Amer. icon Industrial Hyeiene Asseciution Journal, Vol. 63, Pp. 756-761), 1. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television screen method to determine the relationship between the counts done by each method. The results, in fibers per square millimeter, are presented on the Weiss Stats site.

(a). Decide whether use of the linear correlation coefficient as a descriptive measure for the data is

appropriate, If so, then also parts (b)and(c).

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.