Four hundred driver's license applicants were randomly selected and asked whether they passed their driving test (Pass, -1) or failed their test (Pass,-0). Data were also collected on their gender (Male, -1 for male applicants and Male, -0 for female applicants) and on their years of driving experience (Experience, , measured in years). The table below summarizes the results of several estimated models.

 

Transcribed Image Text:

Dependent variable: Pass Experience Male Male x Experience Constant (a) (b) (c) (d) Probit (1) 0.031 (0.009) 0.712 (0.126) Logit (2) 0.040 (0.016) 1.059 (0.221) Linear Probability (3) 0.006 (0.002) 0.774 (0.034) Probit -0.333 (0.161) 1.282 (0.124) Logit (5) -0.622 (0.303) 2.197 (0.242) Linear Probability -0.071 (0.034) 0.900 (0.022) Probit (7) 0.041 (0.156) -0.074 (0.259) -0.015 (0.019) 0.806 (0.200) Refer to the results in column (1). Does the probability of passing the test depend on Experience? Use an appropriate statistical test to explain your answer. Refer to the results in column (2). Matthew has 10 years of driving experience, while Christopher is a new driver (which means that he has zero years of experience). Compute the probabilities that Matthew and Christopher will pass the test. Refer to the results in column (3). Matthew has 10 years of driving experience, while Christopher is a new driver (which means that he has zero years of experience). Compute the probabilities that Matthew and Christopher will pass the test. Refer to the results in columns (4)-(6). Compute the estimated probabilities of passing the test for men and for women. Are the models in columns (4)-(6) different? Why or why not? Dependent variable: Pass Experience Male Male x Experience Constant (a) (b) (c) (d) Probit (1) 0.031 (0.009) 0.712 (0.126) Logit (2) 0.040 (0.016) 1.059 (0.221) Linear Probability (3) 0.006 (0.002) 0.774 (0.034) Probit -0.333 (0.161) 1.282 (0.124) Logit (5) -0.622 (0.303) 2.197 (0.242) Linear Probability -0.071 (0.034) 0.900 (0.022) Probit (7) 0.041 (0.156) -0.074 (0.259) -0.015 (0.019) 0.806 (0.200) Refer to the results in column (1). Does the probability of passing the test depend on Experience? Use an appropriate statistical test to explain your answer. Refer to the results in column (2). Matthew has 10 years of driving experience, while Christopher is a new driver (which means that he has zero years of experience). Compute the probabilities that Matthew and Christopher will pass the test. Refer to the results in column (3). Matthew has 10 years of driving experience, while Christopher is a new driver (which means that he has zero years of experience). Compute the probabilities that Matthew and Christopher will pass the test. Refer to the results in columns (4)-(6). Compute the estimated probabilities of passing the test for men and for women. Are the models in columns (4)-(6) different? Why or why not?

Answer rating: 100% (QA)

a The probability of passing does not depend on experience because the coefficient for experience is not statistically significant The appropriate sta... View the full answer