What is p-value associated with coefficient t-statistics

Question

Assignment:

Question 1

The data file Growth contains data on average growth rates from 1960 through 1995 for 65 countries, along with variables that are potentially related to growth. You are asked to investigate the relationship between growth and trade.

a. Using all observations, run a regression of Growth on Trade Share. What is the estimated slope? What is the estimated intercept? Use the regression to predict the growth rate for a country with a trade share of 0.5 and with a trade share equal to 1.0.

b. Estimate the same regression, excluding the data from Malta. Answer the same question in part (a).

c. Is the estimated regression slope statistically significant? This is, can you reject the null hypothesis H₀: β₁ = 0 at the 10%, 5%, or 1% significance level?

d. What is the p-value associated with the coefficient's t-statistic?

e. Construct a 90% confidence interval for β₁.

Question 2

a. Using the data in hprice1, estimate the following model: price = β₀ + β₁ lotsize + β₂ sqrft + β₃ bdrms Investigate the hypothesis that lotsize, sqrft, and bdrms affect price.

b. Test for the presence of heteroskedasticity.

Question 3

Use the data set Birthweight_Smoking, which contains data for a random sample of babies born in Pennsylvania in 1989. The data include the baby's birth weight together with various characteristics of the mother, including whether she smoked during pregnancy. In this exercise you will investigate the relationship between birth weight and smoking during pregnancy.

a. In the sample:

i. What is the average value of Birthweight for all mothers?

ii. For mothers who smoke?

iii. For mothers who do not smoke?

b. i. Use the data in the sample to estimate the difference in average birth weight for smoking and non-smoking mothers.

ii. What is the standard error for the estimated difference in (i)?

iii. Construct a 95% confidence interval for the difference in the average birth weight for smoking and non-smoking mothers.

c. Run a regression of Birthweight on the binary variable Smoker.

i. Estimate the slope and intercept.

ii. Is the estimated regression slope statistically significant? Can you reject the null hypothesis H₀: β₁ = 0 at the 10%, 5%, or 1% significance level?

Attachment:- Data birth weight smoking.rar