Question: Run a regression equation to predict father’s education from mother’s education (variables paeduc and maeduc). Include 95% confidence intervals for the slope and intercept. Save the standard error of the mean prediction.

a. Write the linear regression to predict father’s education from mother’s education

b. Based on the results of the linear regression can you reject the null hypothesis that there is no linear relationship between father’s and mother’s education.

c. What proportion of the variability in mother’s education is explained by father’s education?

d. How can you tell from the slope if the correlation coefficient between the two variables is positive or negative?

e. What can you conclude about the population correlation coefficient based on what you know about the slope? Can you reject the null hypothesis that the population correlation coefficient is 0?

f. Based on the 95% confidence interval for the slope, can you reject the null hypothesis that the population value for the slope is 1? Explain