Based on a national survey, the following table shows results of a regression eq

Question

Based on a national survey, the following table shows results of a regression equation of alcohol consumption (the dependent variable), measured as the number of alcoholic drinks the respondent drank during the past month.

QUESTION 1: Explain the coefficients associated with death of father and sex.

QUESTION 2: Find the predicted alcohol consumption for a divorced male whose father died and whose alcohol consumption three years ago was ten drinks per month.

QUESTION 3: Marital status has three estimates. Dividing the coefficient of the divorced dummy variable by its standard error yields a t statistic. What hypothesis does it test?

QUESTION 4: What would you do to test the overall effect of marital status, controlling for the other variables? Briefly describe the procedure you will undertake and the test statistic you will use. You do not need to show the equations.

Std. Explanatory Variable Estimate Error 8.3 Intercept Death of father (0 no 9.8 2.9 5.3 1.6 Sex (0 male) Marital status (0 married) 7.0 Divorced, separated 2.0 Widowed 3.6 2.0 Never married 1.2 2.4 Alcohol consumption, 0.501 0.023 three years ago

Explanation / Answer

q1: its means if there is death of father the change in consumption leads to 9.8 times and decreases 3.8 (due to - sign) in consumption of alcholo in case of female (since female=1)

q2. y=8.3+9.8(1)+7(1)+0.5 =25.6

q3:the t-statistic of any one variable may be used to test the hypothesis that the true value of the coefficient is zero (which is to say, the variable should not be included in the model).

q4: ANOVA test can be used test the overall effect of marital status, controlling for the other variables.it can be used to check the difference between the groups of the variable .

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