Run the regression equation to predict father's education from the mother's education (variables paeduc and maeduc). Comprise 95% confidence intervals for slope and intercept. Save the standard error of mean prediction.
a) Write down the linear regression equation to predict father's education from the mother's education?
b) Based upon the results of linear regression, can you reject the null hypothesis that there is no linear relationship between the father's and mother's education?
c) What proportion of variability in mother's education is stated by father's education?
d) How can you tell from the slope if correlation coefficient between the two variables is positive or negative?
e) What can you conclude regarding the population correlation coefficient base on what you know about the slope? Can you reject null hypothesis that the population correlation coefficient is 0?
f) Based upon the 95% confidence interval for slope, can you reject null hypothesis that the population value for the slope is 1? Describe.