Statistics for Business and Economics (13th Edition)
Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 12.9, Problem 12.98LM

a.

To determine

To state: The alternative hypothesis Ha .

b.

To determine

To write: The reduced model for conducting the test.

c.

To determine

The numerator and denominator degrees of freedom associated with the F-statistic.

d.

To determine

To test: Whether the second order terms are useful or not.

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A researcher conducts a multiple regression with Y as the dependent variable and X1, X2, X3 and X4 as explanatory variables. Using the regression output below, fully describe this model and discuss important parts of the output. What is the predicted value of Y if X1 = 3, X2 = 15, X3 = 7 and X4 = 0.003? %3D SUMMARY OUTPUT Regression Staistics Muliple R R Square Adjusted R Square Standard Emor Observations 0.7236 0.5236 0.5159 5.3928 252 ANOVA Significance F 1. 10662E-38 SS MS Regression Residual 1973 9392 29.0820 67.8749 7895.7567 7183.2599 4 247 Total 251 15079.0166 Upper 95% 33.4049 Coefficients Standard Eror t Stat Pvalue 2.2273 0.026830873 Lower 95% 7.9594 2.0508 Intercept X1 17.7278 1.5583 0.2750 5.6662 4.05265E-08 1.0166 2.0999 X2 1.8376 0.1997 9.1999 1.4442 -74708 -3721 4324 1.55861E-17 2.2310 X3 55100 -5.5348 7.94036E-08 -3.5492 X4 -3.1079 1887 8435 -0.0016 0.998687788 3715 2166
Compute the coefficients b₁ and b₂ for the regression model y₁ = 60+ b₁x₁₁ +b2×21 given the summary statistics shown below. a. Tx₁y b. rx₁y c. Tx₁y d. = 0.80, x2y=0.60, =200, Sx2 = 0.40, Sx₁ 0,5x1x2 =-0.80, гx2y=0.60, rx₁x2 = -0.40, Sx₁ = 200, Sx2 = 100, sy = 500 = 100, 0, Sy = 500 100, Sy = 500 =0.80, x2y = -0.20, 0, rx₁x2 = -0.10, Sx₁ =200, Sx2 = 100, Sy = 500 =0.50, rx2y=0.75, x₁x2 = 0.70, Sx₁ =200, Sx2 =

Chapter 12 Solutions

Statistics for Business and Economics (13th Edition)

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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