Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter R, Problem 5.41RE
a.
To determine
Give an interpretation of the coefficient of carbo in both regressions.
b.
To determine
Explain the reason for P-value on carbo change from 0.0267 in the first regression to 0.1661 in the second regression.
c.
To determine
Identify the graphs or statistics would look to understand this change.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A regression model to predict the price of diamonds included the following predictor variables: the weight of the stone (in carats where 1 carat = 0.2 gram), the color rating (D, E, F, G, H, or I), and the clarity rating (IF, VVS1, VVS2, VS1, or VS2). (a) Identify the quantitative predictor variable(s).
weight
color rating
Drug use The 2011 World Drug Report investigated theprevalence of drug use as a percentage of the populationaged 15 to 64. Data from 22 European countries are
shown in the following scatterplot and regression analy-sis. (Source: World Drug Report, 2011. www.unodc.org/
unodc/en/data-and-analysis/WDR-2011.html)
Dependent variable is CocaineR-squared = 38.1%s = 0.724 with 22 - 2 = 20 degrees of freedomVariable Coefficient SE(Coeff) t-Ratio P-ValueIntercept 0.35707 0.2757 1.295 0.21Cannabis% 0.14264 0.0406 3.512 0.002a) Explain in context what the regression says.b) State the hypothesis about the slope (both numericallyand in words) that describes how use of marijuana isassociated with other drugs.
c) Assuming that the assumptions for inference are satis-fied, perform the hypothesis test and state your conclu-sion in context.
d) Explain what R-squared means in context.e) Do these results indicate that marijuana use leads tothe use of harder drugs? Explain.
What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars) and x = size of the diamond (in carats). The simple linear regression for the analysis is shown below:
Least Squares Linear Regression of PRICE
Interpret the standard deviation of the regression model.
a) We expect most of the sampled diamond prices to fall within $1117.56 of their least squares predicted values.
b) We can explain 89.25% of the variation in the sampled diamond prices around their mean using the size of the diamond in a linear model.
c) For every 1-carat increase in the size of a diamond, we estimate that the price of the diamond will increase by $1117.56.
d) We expect most of the sampled diamond prices to fall within $2235.12 of their least squares predicted values.
Chapter R Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. R - Bananas Here are the prices (in cents per pound)...Ch. R - Prob. 1.2RECh. R - Singers by parts The boxplots display the heights...Ch. R - Dialysis In a study of dialysis, researchers found...Ch. R - Beanstalks Beanstalk Clubs are social clubs for...Ch. R - Bread Clarksburg Bakery is trying to predict how...Ch. R - State University Public relations staff members at...Ch. R - Shenandoah rain Based on long-term investigation,...Ch. R - Prob. 1.9RECh. R - Streams As part of the course work, a class at an...
Ch. R - Prob. 1.11RECh. R - Prob. 1.12RECh. R - Lets play cards You pick a card from a standard...Ch. R - Accidents Progressive Insurance asked customers...Ch. R - Hard water In an investigation of environmental...Ch. R - Prob. 1.16RECh. R - Seasons Average daily temperatures in January and...Ch. R - Prob. 1.18RECh. R - Prob. 1.19RECh. R - Prob. 1.20RECh. R - Libertys nose Is the Statue of Libertys nose too...Ch. R - Winter Olympics 2010 speed skating The times from...Ch. R - Sample A study in South Africa focusing on the...Ch. R - Sluggers Babe Ruth was the first great slugger in...Ch. R - Prob. 1.25RECh. R - Music and memory Is it a good idea to listen to...Ch. R - Mail Here are the number of pieces of mail...Ch. R - Birth order Is your birth order related to your...Ch. R - Herbal medicine Researchers for the Herbal...Ch. R - Birth order revisited Consider again the data on...Ch. R - Engines One measure of the size of an automobile...Ch. R - Engines, again Horsepower is another measure...Ch. R - Prob. 1.33RECh. R - Prob. 1.34RECh. R - Age and party 2011 II Consider again the Pew...Ch. R - Prob. 1.36RECh. R - Prob. 1.37RECh. R - Global500 2014 Here is a stem-and-leaf display...Ch. R - Hopkins Forest investigation The Hopkins Forest...Ch. R - Prob. 1.42RECh. R - Prob. 1.43RECh. R - Prob. 1.44RECh. R - Matching Here are several scatterplots. The...Ch. R - Prob. 2.2RECh. R - Prob. 2.3RECh. R - Vineyards again Instead of Age, perhaps the Size...Ch. R - Prob. 2.5RECh. R - Prob. 2.6RECh. R - Prob. 2.7RECh. R - Prob. 2.8RECh. R - Prob. 2.9RECh. R - Prob. 2.10RECh. R - Prob. 2.11RECh. R - Prob. 2.12RECh. R - Traffic Highway planners investigated the...Ch. R - Prob. 2.14RECh. R - Cars, correlations What factor most explains...Ch. R - Cars, associations Look again at the correlation...Ch. R - Cars, horsepower Can we predict the Horsepower of...Ch. R - Prob. 2.18RECh. R - Prob. 2.19RECh. R - Prob. 2.20RECh. R - Prob. 2.21RECh. R - Prob. 2.22RECh. R - How old is that tree? One can determine how old a...Ch. R - Prob. 2.24RECh. R - Prob. 2.25RECh. R - Smoking and pregnancy 2011 The Child Trends Data...Ch. R - Prob. 2.27RECh. R - Prob. 2.28RECh. R - Prob. 2.29RECh. R - Correlations The study of U.S. cities in Exercise...Ch. R - Prob. 2.31RECh. R - Depression The September 1998 issue of the...Ch. R - Prob. 2.33RECh. R - Modeling jumps 2016 Here are the summary...Ch. R - French Consider the association between a students...Ch. R - Prob. 2.36RECh. R - Prob. 2.37RECh. R - Gasoline Since clean-air regulations have dictated...Ch. R - Prob. 2.39RECh. R - Prob. 2.40RECh. R - Prob. 2.41RECh. R - Prob. 2.42RECh. R - Prob. 2.43RECh. R - Prob. 2.44RECh. R - Prob. 2.45RECh. R - Prob. 2.46RECh. R - Prob. 2.47RECh. R - Prob. 2.48RECh. R - Prob. 2.49RECh. R - Prob. 2.50RECh. R - Penguins again In Chapter 8 we learned about the...Ch. R - Prob. 2.52RECh. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - Prob. 3.3RECh. R - Prob. 3.4RECh. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - Prob. 3.6RECh. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - Prob. 3.11RECh. R - An artisan wants to create pottery that has the...Ch. R - Prob. 3.13RECh. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - R3.1R3.18. What design? Analyze the design of each...Ch. R - Prob. 3.19RECh. R - Prob. 3.20RECh. R - Alternate day fasting A paper published in 2017 in...Ch. R - Cell phone risks Researchers at the Washington...Ch. R - Prob. 3.23RECh. R - Prob. 3.24RECh. R - Prob. 3.25RECh. R - How long is 30 seconds? Sofie, Ryan, and...Ch. R - Cookies Mary Beth, Nigel, and Molly want to design...Ch. R - Homecoming A college statistics class conducted a...Ch. R - Youthful appearance Readers Digest (April 2002, p....Ch. R - Smoking and Alzheimers Medical studies indicate...Ch. R - Prob. 3.32RECh. R - Sex and violence Does the content of a television...Ch. R - Pubs In England, a Leeds University researcher...Ch. R - Age and party 2008 The Pew Research Center...Ch. R - Bias? Political analyst Michael Barone has written...Ch. R - Prob. 3.37RECh. R - Acupuncture Research reported in 2008 brings to...Ch. R - Fuel efficiency Wayne Collier designed an...Ch. R - Security There are 20 first-class passengers and...Ch. R - Internet speed Carsten, Matt, and Rainer designed...Ch. R - Prob. 4.1RECh. R - Prob. 4.2RECh. R - Emergency switch Safety engineers must determine...Ch. R - Prob. 4.4RECh. R - Prob. 4.5RECh. R - Prob. 4.6RECh. R - Babies The National Perinatal Statistics Unit of...Ch. R - Archery A champion archer can generally hit the...Ch. R - Color-blind Medical literature says that about 8%...Ch. R - Hamsters How large are hamster litters? Among 47...Ch. R - Prob. 4.11RECh. R - Polling 2016 The 2016 U.S. presidential election...Ch. R - Fake news In a survey of 1002 U.S. adults in...Ch. R - Scrabble Using a computer to play many simulated...Ch. R - Prob. 4.15RECh. R - Prob. 4.16RECh. R - Prob. 4.17RECh. R - Prob. 4.18RECh. R - Prob. 4.19RECh. R - Prob. 4.20RECh. R - Prob. 4.21RECh. R - Prob. 4.22RECh. R - Prob. 4.23RECh. R - Prob. 4.24RECh. R - Largemouth bass Organizers of a fishing tournament...Ch. R - Prob. 4.26RECh. R - Language Neurological research has shown that in...Ch. R - Prob. 4.28RECh. R - Teen smoking 2015 The Centers for Disease Control...Ch. R - Prob. 4.30RECh. R - Prob. 4.31RECh. R - Prob. 4.32RECh. R - Pregnant? Suppose that 70% of the women who...Ch. R - Safety Observers in Texas watched children at play...Ch. R - Prob. 4.35RECh. R - Prob. 4.36RECh. R - Prob. 4.37RECh. R - Grade inflation In 1996, 20% of all students at a...Ch. R - Prob. 4.39RECh. R - Prob. 4.40RECh. R - Prob. 4.41RECh. R - Prob. 4.42RECh. R - Prob. 4.43RECh. R - Prob. 4.44RECh. R - Prob. 4.45RECh. R - Prob. 4.46RECh. R - Streams Researchers in the Adirondack Mountains...Ch. R - Skin cancer In February 2012, MedPage Today...Ch. R - Bread Clarksburg Bakery is trying to predict how...Ch. R - Prob. 4.50RECh. R - Prob. 4.51RECh. R - Batteries We work for the Watchdog for the...Ch. R - Prob. 4.53RECh. R - Prob. 4.54RECh. R - Prob. 5.1RECh. R - Prob. 5.2RECh. R - Prob. 5.3RECh. R - Prob. 5.4RECh. R - Prob. 5.5RECh. R - Prob. 5.6RECh. R - Eclampsia deaths Refer again to the research...Ch. R - Prob. 5.8RECh. R - More errors A corporation with a fleet of vehicles...Ch. R - Preemies Among 242 Cleveland-area children born...Ch. R - Crawling A study found that babies born at...Ch. R - Mazes and smells Can pleasant smells improve...Ch. R - Pottery Archaeologists can use the chemical...Ch. R - Grant writing Does race matter when applying for...Ch. R - Feeding fish In the midwestern United States, a...Ch. R - Age In a study of how depression may affect ones...Ch. R - Prob. 5.18RECh. R - Eating disorders A study conducted in the...Ch. R - Cesareans Some people fear that differences in...Ch. R - Prob. 5.21RECh. R - Teach for America, part II The study described in...Ch. R - Prob. 5.25RECh. R - Genetics Two human traits controlled by a single...Ch. R - Prob. 5.29RECh. R - Hard water In an investigation of environmental...Ch. R - Prob. 5.31RECh. R - Prob. 5.32RECh. R - Prob. 5.33RECh. R - AP statistics scores 2016 In 2016, about 200,000...Ch. R - Prob. 5.35RECh. R - Prob. 5.36RECh. R - Prob. 5.37RECh. R - Age and party 2016 The Pew Research Center...Ch. R - Eye and hair color A survey of 1021 school-age...Ch. R - Prob. 5.40RECh. R - Prob. 5.41RECh. R - Prob. 5.42RECh. R - Prob. 5.43RECh. R - Prob. 5.44RECh. R - Prob. 5.45RECh. R - Learning math Developers of a new math curriculum...Ch. R - Prob. 5.47RECh. R - Dairy sales Peninsula Creameries sells both...Ch. R - Diet Thirteen overweight women volunteered for a...Ch. R - Cramming Students in two basic Spanish classes...Ch. R - Prob. 5.51RECh. R - Newspapers Who reads the newspaper more, men or...
Knowledge Booster
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
- Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forward
- The Quantitative Environmental Learning Project reported widths and lengths (in centimeters) of a sample of 88 Puget Sound butter clams. Output is shown for the regression of length on width. Pearson correlation of Width and Length = 0.989 The regression equation is Length = 0.257 + 1.22 Width Predictor Coef SE Coef T P Constant 0.25689 0.09293 2.76 0.007 Width 1.22013 0.01940 62.89 XXXXX S = 0.3253 R-Sq = 97.9% R-Sq(adj) = 97.8% Assume the data to be a representative sample taken from the population of all Puget Sound butter clams, with b0, b1, and s as reported in the output. Which of these do we know exactly for the population? β0 β1 σ all of the above none of the abovearrow_forwardThe Quantitative Environmental Learning Project reported widths and lengths (in centimeters) of a sample of 88 Puget Sound butter clams. Output is shown for the regression of length on width. Pearson correlation of Width and Length = 0.989 The regression equation is Length = 0.257 + 1.22 Width Predictor Coef SE Coef T P Constant 0.25689 0.09293 2.76 0.007 Width 1.22013 0.01940 62.89 XXXXX S = 0.3253 R-Sq = 97.9% R-Sq(adj) = 97.8% Suppose we wanted to use the same data set (butter clam widths and lengths) to set up a confidence interval to estimate how much longer than wide butter clams tend to be. What would be the appropriate procedure? - -regression - paired t -two-sample t -chi-square -several-sample Farrow_forwardWhat is the most suitable statistical test in order to determine whether weight, height, and age explain the variance in cholesterol levels of a patient? a. ANOVA b. Log-linear analysis c. Logistic Regression d. Multiple Linear Regressionarrow_forward
- Draw a scatter diagram for the above data Obtain the regression equation by using least square method Predict the price of a house with a size of 28 square feetarrow_forwardDo movies of different types have different rates of return on their budgets? Here's a regression of USGross (SM) on Budget for comedies and action movies with an indicator variable. Complete parts (a) through (d). Dependent variable is: USGross ($M) Coefficient SE(Coeff) - 6.78278 16.95 1.00523 Variable Constant Budget ($M) Comedy 24.0373 0.1613 11.73 t-ratio P-value -0.400 0.6907 6.23 <0.0001 2.05 0.0451 a) Write out the regression model. USGross = + ( Budget + (Comedy R-squared = 32.8% R-squared (adjusted) = 31.0% s = 47.51 55 degrees of freedomarrow_forwardA study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…arrow_forward
- A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…arrow_forwardA manager at a local bank analyzed the relationship between monthly salary and three independent variables: Length of service (measured in months), Gender (0 = female, 1 = male), and Job type (0 = clerical, 1 = technical). The following ANOVA summarizes the %D regression results. ANOVA Source of Variation df Sum of Squares Mean Square F Regression 3 1,004,346.771 334,782.257 5.96 Residual 26 1,461,134.596 56,197.48445 Total 29 2,465,481.367 Coefficients Standard Error t-Stat p-value Intercept 784.92 322.25 2.44 0.02 Service 9.19 3.20 2.87 0.01 Gender 222.78 89.00 2.50 0.02 Job -28.21 89.61 -0.31 0.76 Based on the ANOVA and a O.05 significance level, the global null hypothesis test of the multiple regression modelarrow_forwardA manager at a local bank analyzed the relationship between monthly salary and three independent variables: Length of service (measured in months), Gender (0 = female, 1= male), and Job type (0 = clerical, 1 = technical). The following ANOVA summarizes the %3D regression results. ANOVA Source of Variation df Sum of Squares Mean Square F Regression 3 1,004,346.771 334,782.257 5.96 Residual 26 1,461,134.596 56,197.48445 Total 29 2,465,481.367 Coefficients Standard Error t-Stat p-value Intercept 784.92 322.25 2.44 0.02 Service 9.19 3.20 2.87 0.01 Gender 222.78 89.00 2.50 0.02 Job -28.21 89.61 -0.31 0.76 The level of significance is 0.05. In the regression model, which of the following are dummy variables?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
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