Sir Francis Galton, in the late 1800s, was the first to introduce the statistica
ID: 3274470 • Letter: S
Question
Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. The value of the sample correlation coefficient r for these data is approximately 0.797. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)Explanation / Answer
Regression Equation
son y = 94.8 + 0.480 father x
slope =0.480
y intercept = 94.8