A linear regression was performed using the five following data points: A(2,22),B(10,4),C(6,14),D(14,2),E(18,4) The residual for which of the five points has the largest absolute value?

(a) A (b) B (c) C (d) D (e) E

Short Answer

Expert verified

The correct option is (b).

Step by step solution

01

Given information

The point are givenA(2,22),B(10,4),C(6,14),D(14,2)

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Calculation

The linear equation is given by:

y=23.6-1.6x

xyy
Absolute(residual
22220.41.6
1047.63.6
614140
1421.20.8
18-4-5.21.2

The residual for point B has the largest absolute value.

Hence the correct answer is (b).

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 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

High-speed Internet Laying fiber-optic cable is expensive. Cable companies want to make sure that, if they extend their lines out to less dense suburban

or rural areas, there will be sufficient demand and the work will be cost-effective. They decide to conduct a survey to determine the proportion of households in a rural subdivision that would buy the service. They select a sample of 5 blocks in the subdivision and survey each family that lives on those blocks.

(a) What is the name for this kind of sampling method?

(b) Suppose there are 65 blocks in the subdivision. Use technology or Table D to select 5 blocks to be sampled. Explain your method clearly.

What is the purpose of the control group in this experiment?

Growing in the shade Ability to grow in shade may help pines found in the dry forests of Arizona to resist drought. How well do these pines grow in shade?

Investigators planted pine seedlings in a greenhouse in either full light, lightly reduced to 25% of normal by shade cloth, or light reduced to5% of normal. At

the end of the study, they dried the young trees and weighed them.

Random digits Which of the following statements are true of a table of random digits, and which are false? Briefly explain your answers.

(a) There are exactly four 0s in each row of 40 digits.

(b) Each pair of digits has a chance 1/100 of being 00

(c) The digits 0000 can never appear as a group

because this pattern is not random.

Stronger players A football coach hears that a new exercise program will increase upper-body strength better than lifting weights. He is eager to test this new program in the off-season with the players on his high school team. The coach decides to let his players choose which of the two treatments they will undergo

for three weeks—exercise or weight lifting. He will use the number of push-ups a player can do at the end of the experiment as the response variable.

(a) Which principle of experimental design does the coach’s plan violate? Explain how this violation could lead to confounding.

(b) Comment on the coach’s choice of response variable.

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.

Sign-up for free