Problem 1

We tend to think that our height has something to do with the heights of our parents. Perhaps there is a linear relationship between a father’s height and the height of his son. Heights of father’s and their sons are included below. Use a 5% significance level to test the claim that there is a positive relationship between the heights.
Father H  70     69    64     71    68    66     74   73    62    69     67    68    72    66     72
Son’s H  62.5 64.6 69.1 73.9 67.1 64.4  71.1 71  67.4  69.3 64.9 68.1 66.5 67.5 66.5