Exam 4: Multiple Regression Analysis Inference

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If the calculated value of the t statistic is greater than the critical value, the null hypothesis, H0 is rejected in favor of the alternative hypothesis, H1.

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H1: âj H<sub>1</sub>: âj   0, where â<sub>j</sub> is a regression coefficient associated with an explanatory variable, represents a one-sided alternative hypothesis. 0, where âj is a regression coefficient associated with an explanatory variable, represents a one-sided alternative hypothesis.

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The population parameter in the null hypothesis _____.​

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Which of the following statements is true?

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Which of the following correctly defines F statistic if SSRr represents sum of squared residuals from the restricted model of hypothesis testing, SSRur represents sum of squared residuals of the unrestricted model, and q is the number of restrictions placed?

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The normality assumption implies that:

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Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) = Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? + Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? + Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? + Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? + u . Which of the following is a reason why the coefficient, Suppose that in order to estimate of the average effect of participation in a job training program (train) on wage, you included controls for education (educ), years of experience (exper) in your model: log(wage) =   +     +   +   + u . Which of the following is a reason why the coefficient,   , might be biased? , might be biased?

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Which of the following statements is true?

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Which of the following is true of confidence intervals?

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Which of the following statements is true of hypothesis testing?

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The ordinary least square estimators have the smallest variance among all the unbiased estimators.​

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In regression analysis, the standard errors should not always be included along with the estimated coefficients. ​

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Which of the following statements is true?

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Which of the following is a statistic that can be used to test hypotheses about a single population parameter?

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Suppose that you are interested in estimating the average impact a job training program has on wages. After controlling for observed factors that influence wages, participation in the training program, you find that the coefficient for the training is 0.55 and the standard error is 1.06. Thus, we can infer that the training program has a positive and statistically significant impact on wages at a 95% confidence level.

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Consider the equation, y = Consider the equation, y =   +   <sub>1</sub>x<sub>1</sub> <sub>+ </sub> <sub> </sub>   <sub>2</sub>x<sub>2</sub> + u. A null hypothesis, H<sub>0</sub>:   <sub>2</sub> = 0 states that: + Consider the equation, y =   +   <sub>1</sub>x<sub>1</sub> <sub>+ </sub> <sub> </sub>   <sub>2</sub>x<sub>2</sub> + u. A null hypothesis, H<sub>0</sub>:   <sub>2</sub> = 0 states that: 1x1 + Consider the equation, y =   +   <sub>1</sub>x<sub>1</sub> <sub>+ </sub> <sub> </sub>   <sub>2</sub>x<sub>2</sub> + u. A null hypothesis, H<sub>0</sub>:   <sub>2</sub> = 0 states that: 2x2 + u. A null hypothesis, H0: Consider the equation, y =   +   <sub>1</sub>x<sub>1</sub> <sub>+ </sub> <sub> </sub>   <sub>2</sub>x<sub>2</sub> + u. A null hypothesis, H<sub>0</sub>:   <sub>2</sub> = 0 states that: 2 = 0 states that:

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Whenever the dependent variable takes on just a few values it is close to a normal distribution.

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The significance level of a test is:

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If R2ur = 0.6873, R2r = 0.5377, number of restrictions = 3, and n - k - 1 = 229, F statistic equals:

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Which of the following tools is used to test multiple linear restrictions?

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