help me check for these questions in the econometrics course with R code. Here are questions in Count data models

reference: use this data https://drive.google.com/file/d/1Y4fb93KQbet1ovUEqrXhGiZh9DKDt7yQ/view?usp=sharing for answering these questions. DISCLAIMER: The data is simulated for learning econometrics. Please DO NOT use it for research papers or any purposes other than studying at kinhteluong.online)

DATA PROFILE

File name: eatoutXX.csv

Topic: Eating-out preferences

Unit of analysis: young individuals in HCMC.

Data type: cross-sectional

Sample size: 900 - 1000

Year: 2023

DISCLAIMER: The data is simulated for learning econometrics. Please DO NOT use it for research papers or any purposes other than studying at kinhteluong.online

Data is collected from 900 - 1000 young individuals in HCMC, with the following variables:

• eatout: frequency of eating out (times/month)
• age: age (year)
• whours: working hours (hours/week)
• income: monthly income (mil. VND/month)
• homeown: home ownership (0 = non-homeowners, 1 = homeowner)
• gender: gender (0 = female individuals, 1 = male)
• marriage: marital status, ('single' = single individuals, 'inrelationship' = in relationship, 'married' = married)
• inrelationship: dummy variable generated from 'marriage', 1 = individuals in a relationship
• married: dummy variable generated from 'marriage', 1 = married QUESTIONS

Use the provided data set to regress the equation eatout ~ age + whours + income + homeown + gender + inrelationship + married with Poisson to answer the following questions.

Question 1: Inspect the regression results and related analyses to conclude which of the following is entirely correct and complete.

[A] - [ME homeown atmean] Compared to homeowners, frequency of eating out will higher by 1.675 units for individuals not homeowner.

[B] - [ME married atmean] Frequency of eating out of single individuals is higher by 0.231 times/month compared to married individuals.

[C] - [ME age atmean] When age increases, there is no significant variation in "eatout".

[D] - Statements A and C are both completely correct and comprehensive.

Question 2: Which of the following statements is correct about the regression results and associated analyses?

[A] - [ME inrelationship atmean] Individuals if who are in relationship will have frequency of eating out higher by 1.462 times/month compared to single individuals.

[B] - [coef inrelationship] When marital status is "in relationship", individuals has frequency of eating out higher than single individuals by 0.436 times/month.

[C] - [coef married] Compared to married individuals, frequency of eating out of single individuals is higher by 0.075 times/month.

[D] - None of the statements above are correct.

Question 3: Examine the z-test results for the coefficient of variable income and identify which of the following statements is incorrect.

[A] - H0: coefficient of income = 0. z-statistic = 39.179, p-value = 0.000 < 10%. Conclusion: Reject the null hypothesis H0.

[B] - Changes in income lead to significant changes in frequency of eating out.

[C] - H0: coefficient of income = 0. z-statistic = 39.179, p-value = 0.000 < 10%. Conclusion: Reject the null hypothesis H0. Changes in whours lead to significant changes in frequency of eating out.

[D] - Both statements A and C are incorrect.

Question 4: Among the following statements, which one is incorrect about the z-test results for the coefficient of gender?

[A] - H0: coefficient of gender = 0. z-statistic = 3.296, p-value = 0.001 < 10%. Conclusion: There is sufficient evidence to reject the null hypothesis H0. The impact of gender on eatout is significant.

[B] - H0: coefficient of gender = 0. z-statistic = 3.296, p-value = 0.001 < 10%. Conclusion: There is sufficient evidence to reject the null hypothesis H0. The difference in frequency of eating out between male individuals and female individuals is significant.

[C] - H0: coefficient of gender = 0. z-statistic = 3.296, p-value = 0.001 < 10%. Conclusion: There is not enough evidence to reject the null hypothesis H0. The impact of gender on frequency of eating out is not significant.

[D] - Both statements A and C are incorrect.

Question 5: Read the regression results and identify which statement is correct about the z-test results for the coefficient of income.

[A] - H0: coefficient of income = 0. z-statistic = -1.942, p-value = 0.052 < 10%. Conclusion: Reject H0. Changes in income have a significant effect on eatout.

[B] - H0: coefficient of income = 0. z-statistic = -1.942, p-value = 0.052 < 10%. Conclusion: There is sufficient evidence to reject H0. Monthly income has a significant impact on frequency of eating out.

[C] - Changes in income lead to significant changes in eatout.

[D] - All statements above are correct.

Question 6: Scrutinize the regression and post-estimation outputs to select the statement that is correct.

[A] - [ME income atmean] On average, frequency of eating out increases by 0.127 times/month when monthly income increases by an additional mil. VND/month.

[B] - [ME married atmean] Individuals tends to eating less out by 0.231 times/month when marital status increases by an additional 1 units.

[C] - [ME age atmean] There is no significant variation in "eatout" when age changes.

[D] - [ME inrelationship atmean] Compared to individuals in a relationship, frequency of eating out of single individuals is lower by 1.462 percent.

Question 7: Which of the following statements is incorrect about the regression results and associated analyses?

[A] - [ME age atmean] Frequency of eating out does not vary significantly when age increases.

[B] - [ME age atmean] The change in frequency of eating out is insignificant when age of individuals increases by one year.

[C] - [coef married] When marital status is married individuals, individuals has frequency of eating out lower compared to single.

[D] - [coef homeown] Compared to homeowners, frequency of eating out of non-homeowners is not significantly different.

Question 8: Read the regression results and identify which statement asserts partially correct or incomplete about the regression coefficient of married.

[A] - Compared to single individuals, individuals who are married has frequency of eating out lower.

[B] - When marital status is married individuals, individuals has frequency of eating out lower compared to single.

[C] - If single individuals, then frequency of eating out will be considerably different compared to married individuals.

[D] - Statements A and B are both not entirely correct and comprehensive.

Question 9: Read the regression results and identify which statement asserts entirely correct and complete about the regression coefficient of homeown.

[A] - Frequency of eating out of non-homeowners appears to be higher compared to homeowners.

[B] - When home ownership is homeowner, individuals has frequency of eating out significantly different compared to non-homeowners.

[C] - Compared to homeowners, individuals that is not homeowner has frequency of eating out significantly different.

[D] - Both statements B and C are completely correct and comprehensive.

Question 10: Examine the coefficient of variable age and identify which of the following statements is correct.

[A] - The frequency of eating out has no significant impact on age.

[B] - There is no significant variation in age of individuals when the frequency of eating out changes.

[C] - Increase in age result in does not vary considerably in eatout.

[D] - All statements above are correct.

Use the provided data set to regress the equation eatout ~ age + whours + income + homeown + gender + inrelationship + married with Negative Binomial to answer the following questions.

Question 11: Read the ME calculation results and identify which statement is incorrect about the ME of gender at the mean values of explanatory variables.

[A] - Male individuals has "eatout" not considerably different compared to female individuals.

[B] - There is no significant variation in frequency of eating out when gender increases by 1 units.

[C] - "eatout" of individuals that is male is not significantly different from female individuals.

[D] - None of the statements A, B, and C are incorrect.

Question 12: Scrutinize the regression and post-estimation outputs to select the statement that is partially correct or incomplete.

[A] - [ME income atmean] Each units increase of monthly income results in a increase by 0.163 units in frequency of eating out.

[B] - [ME whours atmean] Frequency of eating out will decrease by 0.164 times/month if working hours increases by 1 hours/week.

[C] - [ME married atmean] Frequency of eating out of married individuals is not considerably different compared to single individuals.

[D] - None of the statements above are not entirely correct and comprehensive.

Question 13: Review the regression and post-estimation results to determine which of the following statements is entirely correct and complete.

[A] - [ME income atmean] Individuals will have frequency of eating out higher by 0.163 units when having monthly income higher by 1 units.

[B] - [z-test gender] H0: coefficient of gender = 0. z-statistic = 0.175, p-value = 0.861 > 10%. Conclusion: Accept H0. Male individuals has a non-significant difference in frequency of eating out compared to female individuals.

[C] - [coef age] Eatout tends to not vary significantly when age increases.

[D] - A, B, and C are all completely correct and comprehensive.

Question 14: Read the ME calculation results and identify which statement is entirely correct and complete about the ME of income at the mean values of explanatory variables.

[A] - Frequency of eating out will increase if monthly income increases.

[B] - For each 1 units increase in monthly income, we observe a increase by 0.163 units in frequency of eating out.

[C] - Frequency of eating out tends to increase by 0.163 times/month due to 1 mil. VND/month increase in monthly income.

[D] - Frequency of eating out will increase by 0.163 units if monthly income increases by 1 units.

Question 15: Which of the following statements is incorrect the ME of inrelationship at the mean values of explanatory variables?

[A] - Individuals in a relationship has frequency of eating out higher by 2.167 times/month compared to single individuals.

[B] - Compared to individuals in a relationship individuals who are single has frequency of eating out lower by 2.167 times/month.

[C] - Compared to married individuals, individuals will have frequency of eating out higher by 2.167 times/month if who are in relationship.

[D] - None of the statements A, B, and C are incorrect.

Question 16: Which of the following statements is partially correct or incomplete about the regression results and associated analyses?

[A] - [coef married] Compared to single individuals, frequency of eating out will be not considerably different for individuals who are married.

[B] - [coef age] When age increases, frequency of eating out does not change significantly.

[C] - [z-test age] H0: coefficient of age = 0. z-statistic = -0.802, p-value = 0.423 > 10%. Conclusion: Do not reject H0.

[D] - [ME age atmean] When age increases, frequency of eating out does not vary significantly.

Question 17: Which of the following statements is partially correct or incomplete about the regression results and associated analyses?

[A] - [z-test homeown] H0: coefficient of homeown = 0. z-statistic = -14.115, p-value = 0.000 < 10%. Conclusion: There is sufficient evidence to reject H0. Frequency of eating out of non-homeowners and homeowners differs significantly.

[B] - [coef gender] The difference in gender does not lead to a difference in eatout.

[C] - [ME inrelationship atmean] Individuals who are single has frequency of eating out lower by 2.167 times/month compared to individuals in a relationship.

[D] - None of the statements above are not entirely correct and comprehensive.

Question 18: Which of the following statements is correct about the ME of income at the mean values of explanatory variables?

[A] - Monthly income increases by 1 percent, frequency of eating out will increase by 0.163 percent.

[B] - Frequency of eating out tends to increase due to an increase in monthly income.

[C] - An increase of 1 times/month in frequency of eating out leads to an increase by 0.163 mil. VND/month in monthly income.

[D] - Both statements A and C are correct.

Question 19: Inspect the regression results and related analyses to conclude which of the following is correct.

[A] - [ME inrelationship atmean] An increase of one units in marital status leads to 2.167 times/month increase in frequency of eating out.

[B] - [z-test gender] H0: coefficient of gender = 0. z-statistic = 0.175, p-value = 0.861 > 10%. Conclusion: Do not reject H0. The impact of eatout on gender is not significant.

[C] - [coef married] Frequency of eating out of single individuals appears to be not significantly different compared to married individuals.

[D] - [ME whours atmean] Every hours/week increase in working hours causes a decrease by 0.162 times/month in frequency of eating out.

Question 20: Consider the regression results and their subsequent analysis to establish which statement can be considered correct.

[A] - [coef inrelationship] When marital status is single, individuals has frequency of eating out significantly different compared to individuals in a relationship.

[B] - [z-test whours] H0: coefficient of whours = 0. z-statistic = 0.002, p-value = 0.000 < 10%. Conclusion: Reject the null hypothesis H0. Changes in whours lead to significant changes in frequency of eating out.

[C] - [z-test income] H0: income = 0. z-statistic = 28.306, p-value = 0.000 < 10%. Conclusion: Reject H0. The impact of income on frequency of eating out is significant.

[D] - Statements B and C are both correct.