/*! 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.7 Refer to Exercise 5.聽(a) Interp... [FREE SOLUTION] | 91影视

91影视

Refer to Exercise 5.

(a) Interpret the value of SEb in context.

(b) Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate the confidence interval. Show your work.

(c) Interpret the interval from part (b) in context.

(d) Explain the meaning of 鈥90% confident鈥 in context.

Short Answer

Expert verified

(a) SEb=0.002456

(b) The confidence interval is (0.004244,0.012894)

(c) As a result, we have 90 percent confldence that the true slope of the population regression line is between (0.004244,0.012894)

(d) "confident" means that the confidence interval will contain the correct value of the population parameter in 90 of all available samples.

Step by step solution

01

Part (a)Step 1: Given information

Given in the question that, We need to Interpret the value of SEbin context .

02

Part(a) Step 2: Explanation

In order to answer the topic, researchers looked at how nature manages the size of animal predators that destroy a bigger proportion of the population when prey density is low. The amount of perch in a confined region is the explanatory variable, and the proportion of perch killed by bass in two hours while bass have access to the perch is the response variable. A scatterplot is provided, which depicts a linear relationship. Also included is a residual graphic for the least square regression line. For this data, the computer output is provided. The standard deviation of the slope is supplied in the row with "Perch" and the column with "Stdev.":SEb

SEb=0.002456

This indicates that the slope is steep.

03

Part(b) Step 1: Given information

We need to interpret the interval from part (b) in context.

04

Part (b) Step 2: Explanation

In order to answer the topic, researchers looked at how nature manages the size of animal predators that destroy a bigger proportion of the population when prey density is low. The amount of perch in a confined region is the explanatory variable, and the proportion of perch killed by bass in two hours while bass have access to the perch is the response variable. A scatterplot is provided, which depicts a linear relationship. Also included is a residual graphic for the least square regression line. For this data, the computer output is provided. As a result, it is stated,

n=16

b=0.008569

SEb=0.002456

The sample size was reduced by two degrees of freedom:

df=n-2

=16-2

=14

In tablet, the critical B-value can be located in the row of df=14and the column of c=90%as

t*=1.761

As a result, the confidence interval is as follows:

b-t*SEb

=0.008569-1.7610.002456

=0.004244

b+t*SEb

=0.008569+1.7610.002456

=0.012894

05

Part(c) Step 1: Given information

Given in the question that, We need to interpret the interval from part (b) in context.

06

Part(c) Step 2: Explanation

In order to answer the topic, researchers looked at how nature manages the size of animal predators that destroy a bigger proportion of the population when prey density is low. The amount of perch in a confined region is the explanatory variable, and the proportion of perch killed by bass in two hours while bass have access to the perch is the response variable. A scatterplot is provided, which depicts a linear relationship. Also included is a residual graphic for the least square regression line. For this data, the computer output is provided. As a result of portion (b),(0.004244,0.012894)

As a result, we have 90percent confidence that the true slope of the population regression line is between (0.004244,0.012894).

07

Part(d) Step 1: Given information

Given in the question that, We need to explain the meaning of 鈥90% confident鈥 in context.

08

Part(d) Step 2: Explanation

In order to answer the topic, researchers looked at how nature manages the size of animal predators that destroy a bigger proportion of the population when prey density is low. The amount of perch in a confined region is the explanatory variable, and the proportion of perch killed by bass in two hours while bass have access to the perch is the response variable. A scatterplot is provided, which depicts a linear relationship. Also included is a residual graphic for the least square regression line. For this data, the computer output is provided. In this instance, "confident" means that the confidence interval will contain the correct value of the population parameter in 90% of all available samples.

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

The school board in a certain school district obtained a random sample of 200residents and asked if they were in favor of raising property taxes to fund the hiring of more statistics teachers. The resulting confidence interval. for the true proportion of residents in favor of raising taxes was (0.183,0.257). The margin of error for this confidence interval is

(a) 0.037

(b) 0.183

c) 0.220

(d) 0.257

(e) 0.740

Insurance adjusters are always vigilant about being overcharged for accident repairs. The adjusters suspect that Repair Shop 1quotes higher estimates than Repair Shop 2. To check their suspicion,

the adjusters randomly select 12cars that were recently involved in an accident and then take each of the cars to both repair shops to obtain separate estimates of the cost to 铿亁 the vehicle. The

estimates are given below in hundreds of dollars.


Assuming that the conditions for inference are reasonably met, which of the following signi铿乧ance tests could legitimately be used to determine whether the adjusters鈥 suspicion is correct?

I. A paired ttest

II. A two-sample ttest

III. A t test to see if the slope of the population regression line is 0.

(a) I only

(b) II only

(c) I and III

(d) II and III

(e) I, II, and III

A residual plot from the least-squares regression is shown below. Which of the following statements is supported by the graph

(a) The residual plot contains dramatic evidence that the standard deviation of the response about the population regression line increases as the average number of putts per round increases.

(b) The sum of the residuals is not 0. Obviously, there is a major error present.

(c) Using the regression line to predict a player鈥檚 total winnings from his average number of putts almost always results in errors of less than \(200,000.

(d) For two players, the regression line under predicts their total winnings by more than\)800,000.

(e) The residual plot reveals a strong positive correlation between average putts per round and prediction errors from the least-squares line for these players.

Give the equation of the least-squares regression line. Define any variables you use.

Refer to Exercise 6.

(a) Interpret the value of SEb in context.

(b) Find the critical value for a 99% confidence interval for the slope of the true regression line. Then calculate the confidence interval. Show your work.

(c) Interpret the interval from part (b) in context.

(d) Explain the meaning of 鈥99% confident鈥 in context .

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.