Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
8th Edition
ISBN: 9781464158933
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 11, Problem 9E

(a)

To determine

Whether the statement is correct or not and the reason for the same.

(a)

Expert Solution
Check Mark

Answer to Problem 9E

Solution: The provided situation is incorrect because the hypothesis is tested using the slope coefficients of the regression equation. Hence, it should be:

H0:β2=0

Explanation of Solution

The provided situation is incorrect because the test statistic for the null hypothesis has been incorrectly recorded. The null and alternative hypotheses in the regression equation check the significance of the explanatory variables by equating their slope coefficients to zero versus not, or less than or more than zero. Hence, the null hypothesis should be written as

H0:β2=0

(b)

To determine

Whether the statement is correct or not and the reason for the same.

(b)

Expert Solution
Check Mark

Answer to Problem 9E

Solution: The provided situation is incorrect because the R2 is the multiple coefficient of correlation which gives the proportion of the variation in the response variable.

Explanation of Solution

The provided statement is incorrect. This is because R2 is the multiple coefficient of correlation which explains the percent of variation in the response variable, as explained by the variation in the explanatory variables.

(c)

To determine

Whether the statement is correct or not and the reason for the same.

(c)

Expert Solution
Check Mark

Answer to Problem 9E

Solution: The provided situation is incorrect because the meaning of p-value being too small is that it will be less than the significance level. Hence, the null hypothesis will be rejected implying that at least one of the explanatory variables differs from zero.

Explanation of Solution

The provided statement is incorrect. The p-value in ANOVA F-test does not mean that all the explanatory variables are significantly different from 0. This is because the null hypothesis in ANOVA states that one or more than one independent variables are equal to zero versus the alternative hypothesis that at least one of them significantly differs from zero. Hence, if the value of p-value is too small, it means that it will be less than the significance level. Hence, the null hypothesis will be rejected implying that at least one of the explanatory variables differs from zero.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012). Brand & Model Price ($) Overall Score Samsung Ultrabook NP900X3C-A01US 1250 83 Apple MacBook Air MC965LL/A 1300 83 Apple MacBook Air MD231LL/A 1200 82 HP ENVY 13-2050nr Spectre XT 950 79 Sony VAIO SVS13112FXB 800 77 Acer Aspire S5-391-9880 Ultrabook 1200 74 Apple MacBook Pro MD101LL/A 1200 74 Apple MacBook Pro MD313LL/A 1000 73 Dell Inspiron I13Z-6591SLV 700 67 Samsung NP535U3C-A01US 600 63 a.  Select a scatter diagram with price as the independent variable.   b.  What does the scatter diagram developed in part (a) indicate about the relationship…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1000s) Reasonable Amount ofItemized Deductions ($1000s) 22   9.6   27   9.6   32   10.1   48   11.1   65   13.5   85   17.7   120   25.5 Compute b1 and b0 (to 4 decimals).b1  b0  Complete the estimated regression equation (to 2 decimals). =   +  x Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals).  thousand dollarsWhat is the value, in dollars, of…
K The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.68. The probability that the mean height for the sample is greater than 64 inches is (Round to four decimal places as needed.)
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY