Statistics Plus New MyLab Statistics with Pearson eText -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780134090436
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 12.3, Problem 12.2LM
Minitab was used to fit the model E(y) = (β0 + β1x1 + β2x2 to n = 20 data points, and the printout shown below was obtained.
a. What are the sample estimates of βo, β1. and β2?
b. What is the least squares prediction equation?
c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.
d. Test H0: β1 = 0 against H0: β1 ≠ 0 Use α = .05.
e. Use a 95% confidence
f. Find R2 and
g. Find the test statistic for testing H0: β1 = β2 = 0.
h. Find the observed significance level of the test, part g. Interpret the result.
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Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ? is the age of the crab in months and ?̂ is the predicted value of ?, the size of the male crab in cm.
?̂=8.2052+0.5693?
What is the value of ?̂ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal place
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ? is the age of the crab in months and ?ˆ is the predicted value of ?, the size of the male crab in cm.
?ˆ=8.1312+0.5226?
What is the value of ?ˆ when a male crab is 23.0736 months old? Provide your answer with precision to two decimal places.
?ˆ =
Interpret the value of ?. The value of ?ˆis
the predicted size of a crab when it is 23.0736 months old.
the predicted incremental increase in size for every increase in age by 23.0736 months.
the predicted number of crabs out of the 1,000 crabs collected that will be 23.0736 months old.
the probability that a crab will be 23.0736 months old.
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Yi=−1.068+1.394Xi and the standard error of the estimate is SYX=19.412. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Significance level at 0.05 . Complete parts (a) and (b) below.
Chapter 12 Solutions
Statistics Plus New MyLab Statistics with Pearson eText -- Access Card Package (13th Edition)
Ch. 12.3 - Write a first-order model relating E(y) to a. two...Ch. 12.3 - Minitab was used to fit the model E(y) = (0 + 1x1...Ch. 12.3 - Suppose you fit the multiple regression model y =0...Ch. 12.3 - Suppose you fit the first-order multiple...Ch. 12.3 - Prob. 12.5LMCh. 12.3 - Prob. 12.6LMCh. 12.3 - Prob. 12.7LMCh. 12.3 - If the analysis of variance F-test leads to the...Ch. 12.3 - Ambiance of 5-star hotels. Although invisible and...Ch. 12.3 - Forecasting movie revenues with Twitter. Refer to...
Ch. 12.3 - Accounting and Machiavellianism. Refer to the...Ch. 12.3 - Prob. 12.12ACBCh. 12.3 - Predicting elements in aluminum alloys. Aluminum...Ch. 12.3 - Novelty of a vacation destination. Many tourists...Ch. 12.3 - Arsenic in groundwater. Environmental Science ...Ch. 12.3 - Reality TV and cosmetic surgery. How much...Ch. 12.3 - Contamination from a plant's discharge. Refer to...Ch. 12.3 - Cooling method for gas turbines. Refer to the...Ch. 12.3 - Rankings of research universities. Refer to the...Ch. 12.3 - Bubble behavior in subcooled flow boiling. In...Ch. 12.3 - Prob. 12.22ACICh. 12.3 - Prob. 12.23ACACh. 12.3 - Prob. 12.24ACACh. 12.4 - Characteristics of lead users. Refer to the...Ch. 12.4 - Prob. 12.26ACBCh. 12.4 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.4 - Chemical plant contamination. Refer to Exercise...Ch. 12.4 - Prob. 12.29ACBCh. 12.4 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.4 - Prob. 12.32ACICh. 12.4 - Prob. 12.33ACICh. 12.4 - Boiler drum production. In a production facility,...Ch. 12.5 - Suppose the true relationship between E(y) and the...Ch. 12.5 - Suppose you fit the interaction model y = 0 + x1 +...Ch. 12.5 - Prob. 12.37LMCh. 12.5 - Tipping behavior in restaurants. Can food servers...Ch. 12.5 - Forecasting movie revenues with Twitter. Refer to...Ch. 12.5 - Prob. 12.41ACBCh. 12.5 - Prob. 12.42ACBCh. 12.5 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.5 - Factors that impact an auditors judgment. A study...Ch. 12.5 - Service workers and customer relations. A study in...Ch. 12.5 - Bubble behavior in subcooled flow boiling. Refer...Ch. 12.5 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.5 - Cooling method for gas turbines. Refer to the...Ch. 12.6 - Write a second-order model relating the mean of y,...Ch. 12.6 - Prob. 12.50LMCh. 12.6 - Prob. 12.51LMCh. 12.6 - Prob. 12.52LMCh. 12.6 - Minitab was used to fit the complete second-order...Ch. 12.6 - Personality traits and job performance. When...Ch. 12.6 - Going for it on fourth-down in the NFL. Refer to...Ch. 12.6 - Prob. 12.56ACBCh. 12.6 - Prob. 12.57ACBCh. 12.6 - Assertiveness and leadership. Management...Ch. 12.6 - Goal congruence in top management teams. Do chief...Ch. 12.6 - Prob. 12.60ACICh. 12.6 - Revenues of popular movies. The Internet Movie...Ch. 12.6 - Prob. 12.62ACICh. 12.6 - Prob. 12.63ACICh. 12.6 - Prob. 12.64ACICh. 12.6 - Prob. 12.65ACICh. 12.7 - Write a regression model relating the mean value...Ch. 12.7 - Prob. 12.67LMCh. 12.7 - Prob. 12.68LMCh. 12.7 - Prob. 12.69LMCh. 12.7 - Prob. 12.70ACBCh. 12.7 - Prob. 12.71ACBCh. 12.7 - Prob. 12.72ACBCh. 12.7 - Prob. 12.73ACBCh. 12.7 - Buy-side vs. sell-side analysts earnings...Ch. 12.7 - Prob. 12.75ACBCh. 12.7 - Charisma of top-level leaders. Refer to the...Ch. 12.7 - Corporate sustainability and firm characteristics....Ch. 12.7 - Homework assistance for accounting students. Refer...Ch. 12.7 - Improving driving performance while fatigued....Ch. 12.7 - Prob. 12.80ACACh. 12.7 - Banning controversial sports team sponsors. Refer...Ch. 12.8 - Consider a multiple regression model for a...Ch. 12.8 - Prob. 12.83LMCh. 12.8 - Consider the model: y = 0+ 1x1+ 2 x2+ 3 x3+...Ch. 12.8 - Consider the model:...Ch. 12.8 - Prob. 12.86LMCh. 12.8 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.8 - Do blondes raise more funds? Refer to the Economic...Ch. 12.8 - Prob. 12.89ACBCh. 12.8 - Buy-side vs. sell-side analysts earnings...Ch. 12.8 - Workplace bullying and intention to leave....Ch. 12.8 - Agreeableness, gender, and wages. Do agreeable...Ch. 12.8 - Chemical plant contamination. Refer to Exercise...Ch. 12.8 - Prob. 12.94ACICh. 12.8 - Recently sold, single-family homes. The National...Ch. 12.8 - Charisma of top-level leaders Refer to the Academy...Ch. 12.9 - Determine which pairs of the following models are...Ch. 12.9 - Prob. 12.98LMCh. 12.9 - Prob. 12.99LMCh. 12.9 - Shared leadership in airplane crews. Refer to the...Ch. 12.9 - Buy-side vs. sell-side analysts earnings...Ch. 12.9 - Workplace bullying and intention to leave. Refer...Ch. 12.9 - Cooling method for gas turbines. Refer to the...Ch. 12.9 - Prob. 12.104ACBCh. 12.9 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.9 - Study of supervisor-targeted aggression....Ch. 12.9 - Prob. 12.107ACICh. 12.9 - Recently sold, single-family homes. Refer to the...Ch. 12.9 - Prob. 12.109ACICh. 12.9 - Prob. 12.110ACACh. 12.10 - Prob. 12.111LMCh. 12.10 - Teacher pay and pupil performance. In Economic...Ch. 12.10 - Risk management performance. An article in the...Ch. 12.10 - Accuracy of software effort estimates....Ch. 12.10 - Diet of ducks bred for broiling. Corn is high in...Ch. 12.10 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.10 - Prob. 12.117ACICh. 12.10 - Prob. 12.118ACICh. 12.10 - Prob. 12.119ACICh. 12.12 - Identify the problem(s) in each of the residual...Ch. 12.12 - Consider fitting the multiple regression model...Ch. 12.12 - Emotional intelligence and team performance. Refer...Ch. 12.12 - State casket sales restrictions. Some states...Ch. 12.12 - Personality traits and job performance. Refer to...Ch. 12.12 - Women in top management. Refer to the Journal of...Ch. 12.12 - Accuracy of software effort estimates. Refer to...Ch. 12.12 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.12 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.12 - Failure times of silicon wafer microchips. Refer...Ch. 12.12 - Bubble behavior in subcooled flow boiling. Refer...Ch. 12.12 - Banning controversial sports team sponsors. Refer...Ch. 12.12 - Cooling method for gas turbines. Refer to the...Ch. 12.12 - Agreeableness, gender, and wages. Refer to the...Ch. 12 - Suppose you have developed a regression model to...Ch. 12 - When a multiple regression model is used for...Ch. 12 - Suppose you fit the model y=0+1x1+2x12+3x2+4x1x2+...Ch. 12 - Prob. 12.137LMCh. 12 - Prob. 12.138LMCh. 12 - Prob. 12.139LMCh. 12 - Prob. 12.140LMCh. 12 - Prob. 12.141LMCh. 12 - Prob. 12.142LMCh. 12 - Prob. 12.143LMCh. 12 - Prob. 12.144LMCh. 12 - Comparing private and public college tuition....Ch. 12 - Prob. 12.146ACBCh. 12 - Prob. 12.147ACBCh. 12 - Highway crash data analysis. Researchers at...Ch. 12 - Prob. 12.149ACBCh. 12 - Mental health of a community. An article in the...Ch. 12 - Prob. 12.151ACBCh. 12 - Testing tires for wear. Underinflated or...Ch. 12 - Prob. 12.153ACBCh. 12 - Prob. 12.154ACBCh. 12 - Prob. 12.155ACBCh. 12 - Prob. 12.156ACBCh. 12 - Prob. 12.157ACBCh. 12 - Promotion of supermarket vegetables. A supermarket...Ch. 12 - Yield strength of steel alloy. Industrial...Ch. 12 - Prob. 12.160ACICh. 12 - Prob. 12.161ACICh. 12 - Improving Math SAT scores. Refer to the Chance...Ch. 12 - Prob. 12.163ACICh. 12 - Prob. 12.164ACICh. 12 - Prob. 12.165ACICh. 12 - Prob. 12.166ACICh. 12 - Sale prices of apartments. A Minneapolis,...Ch. 12 - Volatility of foreign stocks. The relationship...Ch. 12 - Prob. 12.169ACICh. 12 - Prob. 12.170ACICh. 12 - State casket sales restrictions Refer to the...Ch. 12 - Modeling monthly collision claims. A medium-sized...Ch. 12 - Developing a model for college GPA. Many colleges...
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