In 1906, statistician Karl Pearson measured the height of 1078 pairs of fathers and sons.The following table represents a sample of 16 pairs, with height measured in inches.We assume that all the requirements (Independence, Linearity, Normality, Population standard deviation) for linear regression are satisfied.Use the Minitab output shown below to answer the questions that follow.

(a) Is there a significant relationship between the son's height and the father's height? In other words, is the slope significantly different from zero? How do you know?

(b) What is the value of the slope? What does the slope measure in this scenario?

(c) What is the value of the intercept? What does the intercept measure in this scenario?

(d) Is the intercept significant in this model? Would it make sense to fit a zero-intercept model in this scenario? Explain briefly.

(e) What is the regression equation used to obtain predicted height of son?

(f) Consider a father's height of 70 inches. What height is predicted for his son in this case? Use an appropriate interval to obtain the margin of error for that prediction.Discuss the accuracy of that prediction using the criterion of overall fit, margin of error and type of prediction (interpolation or extrapolation).