/*! 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. AP4.29 Park rangers are interested in e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. AP4.29 (page 831)

Park rangers are interested in estimating the weight of the bears that inhabit their state. The rangers have data on weight (in pounds) and neck girth (the distance around the neck in inches) for 10 randomly selected bears. Here is some regression output for these data

A bear has recently captured whose neck girth was 35inches and whose weight was 466.35pounds. If this bear were added to the data set, what would be the effect on the value of s?

a. It would decrease the value of s because the added point is an outlier.

b. It would decrease the value of s because the added point lies on the least-squares regression line.

c. It would increase the value of s because the added point is an outlier.

d. It would increase the value of s because the added point lies on the least-squares regression line.

e. It would have no effect on the value of s because the added point lies on the least-squares regression line.

Short Answer

Expert verified

The correct option is (b) It would decrease the value of s because the added point lies on the least-squares regression line.

Step by step solution

01

Given information

The given data is

02

Explanation

Park rangers are curious about the weight of the bears that live in their area. The question specifies the output of this data. As a result, if we add the bear with a neck girth of 35inches and a weight of 466.35pounds to the scatterplot, the appropriate point will be added to the scatterplot's top right corner.

Furthermore, this plot will be on the least square regression line because it is an extension of the least square regression line. Also, because the added data has a perfect prediction, the standard error of the estimates will drop.

As a result, our forecasts are more precise, resulting in fewer variations and, as a result, a reduced standard error of prediction.

Option (b) is correct.

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

Suppose that the mean weight of a certain breed of pig is 280pounds with a standard deviation of 80pounds. The distribution of weight for these pigs tends to be somewhat skewed to the right. A random sample of 100pigs is taken. Which of the following statements about the sampling distribution of the sample mean weight xis true?

a. It will be Normally distributed with a mean of 280pounds and a standard deviation of 80pounds.

b. It will be Normally distributed with a mean of 280pounds and a standard deviation of 8pounds.

c. It will be approximately Normally distributed with a mean of 280pounds and a standard deviation of80pounds.

d. It will be approximately Normally distributed with a mean of 280pounds and a standard deviation of 8pounds.

e. There is not enough information to determine the mean and standard deviation of the sampling distribution.

Each morning, coffee is brewed in the school workroom by one of three faculty members, depending on who arrives first at work. Mr. Worcester arrives first 10% of the time, Dr. Currier arrives first 50%of the time, and Mr. Legacy arrives first on the remaining mornings. The probability that the coffee is strong when brewed by Dr. Currier is 0.1, while the corresponding probabilities when it is brewed by Mr. Legacy and Mr. Worcester are 0.2 and 0.3, respectively. Mr. Worcester likes strong coffee!
(a) What is the probability that on a randomly selected morning the coffee will be strong?
(b) If the coffee is strong on a randomly selected morning, what is the probability that it was brewed by Dr. Currier?

A random sample of 900students at a very large university was asked which social networking site they used most often during a typical week. Their responses are shown Page Number: 828in the table

Assuming that gender and preferred networking site are independent, how many females do you expect to choose LinkedIn?

a.87.00

b.90.00

c.95.40

d.97.50

e.103.35

A study of road rage asked random samples of 596men and 523women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0-20. The respondents were chosen by random-digit dialing of telephone numbers. Are the conditions for inference about a difference in means satisfied?

a. Maybe; the data came from independent random samples, but we should examine the data to check for Normality.

b. No; road rage scores on a scale of 0-20can鈥檛 be Normal.

c. No; a paired t-test should be used in this case.

d. Yes; the large sample sizes guarantee that the corresponding population distributions will be Normal.

e. Yes; we have two independent random samples and large sample sizes, and the10% condition is met.

Yahtzee (5.3,6.3) In the game of Yahtzee, 5 six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all 5 dice.

a. Luis says that the probability of getting a Yahtzee in one roll of the dice is 165. Explain why Luis is wrong.

b. Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn鈥檛 gotten a Yahtzee after 25 rolls. Should he be? Calculate an appropriate probability to support your answer
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

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.