42.What can we conclude if the global test of regression rejects the null hypothesis?A)Strong correlations exist among the variablesB)No relationship exists between the dependent variable and any of the independent variablesC)At least one of the net regression coefficients is not equal to zero.D)Good predictions are not possibleAnswer:CDifficulty: EasyGoal: 443.What are the degrees of freedom associated with the regression sum of squares?A)Number of independent variablesB)1C)F-ratioD)(n – 2)Answer:ADifficulty: MediumGoal: 2AACSB: ASTest Bank, Chapter 4340 Show We have textbook solutions for you! The document you are viewing contains questions related to this textbook. Business Analytics: Data Analysis & Decision Making Albright/Winston Expert Verified 44.Which of the following is a characteristic of theF-distribution?A)Normally distributedB)Positively skewedC)Negatively skewedD)Equal to the t-distributionAnswer:BDifficulty: MediumGoal: 4AACSB: CA45.In a regression analysis, three independent variables are used in the equation based on a sample offorty observations.What are the degrees of freedom associated with theF-statistic?A)3 and 39B)4 and 40C)3 and 36D)2 and 39Answer:CDifficulty: MediumGoal: 446.Hypotheses concerning individual regression coefficients are tested using which statistic?A)t-statisticB)z-statisticC)2(chi-square statistic)D)FAnswer:ADifficulty: EasyGoal: 547.The coefficient of determination measures the proportion ofA)explained variation relative to total variation.B)variation due to the relationship among variables.C)error variation relative to total variation.D)variation due to regression.Answer:ADifficulty: MediumGoal: 348.What happens as the scatter of data values about the regression plane increases?A)Standard error of estimate increasesB)2RdecreasesC)(1 –2R) increasesD)Error sum of squares increasesE)All of the above are correctAnswer:EDifficulty: MediumGoal: 3AACSB: ASScrambling: LockedStatistical Techniques in Business & Economics, Lind/Marchal/Wathen, 13/e341 49.For a unit change in the first independent variable with other things being held constant, what changecan be expected in the dependent variable in the multiple regression equation211.73.62.5ˆXXY?A)– 7.1B)+ 6.3C)+ 5.2D)+ 4.4Answer:BDifficulty: EasyGoal: 150.The best example of a null hypothesis for a global test of a multiple regression model is:A)4321Oββββ:HB)4321Oμμμμ:HC)0β:H10D)If F is greater than 20.00 then rejectAnswer:ADifficulty: EasyGoal: 4 Upload your study docs or become a Course Hero member to access this document Upload your study docs or become a Course Hero member to access this document End of preview. Want to read all 325 pages? Upload your study docs or become a Course Hero member to access this document Tags AACSB, Business Economics, Level of measurement, Difficulty What can we conclude if the global test of regression rejects the null hypothesis?At least one of the net regression coefficients is not equal to zero. What can we conclude if the global test of regression rejects the null hypothesis? C. At least one of the net regression coefficients is not equal to zero.
What is the null hypothesis of the global FThe F-test for overall significance has the following two hypotheses: The null hypothesis states that the model with no independent variables fits the data as well as your model. The alternative hypothesis says that your model fits the data better than the intercept-only model.
What if the FMany authors recommend ignoring the P values for individual regression coefficients if the overall F ratio is not statistically significant. This is because of the multiple testing problem. In other words, your p-value and f-value should both be statistically significant in order to correctly interpret the results.
What does significance F Tell us in regression?Statistically speaking, the significance F is the probability that the null hypothesis in our regression model cannot be rejected. In other words, it indicates the probability that all the coefficients in our regression output are actually zero!
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What can we conclude if the global F test of regression rejects the null hypothesis?
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