Q1) Run regression equation to forecast father's education from mother's education (variables paeduc and maeduc). Include 95% confidence intervals for slope and intercept. Save standard error of the mean prediction.

a) Write the linear regression equation to forecast father's education from mother's education?

b) Based on results of linear regression, can you reject null hypothesis that there is no linear relationship between father's and mother's education?

c) What proportion of variability in mother's education is described by father's education?

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

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

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