Question

Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relations 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 (adult) son. The data are given in tabular form and also displayed in the figure scatter plot, which gives the least squares regression line as well. The equation for this line is y - 91.05 +0.50x. Height of father, Height of son, (in centimeters) 190.2 (in centimeters) 201.9 186.1 161.1 191.5 190.2 171.5 173.9 157.7 186.4 170.9 192.7 161.6 175.0 Answer the following

Answer 1

Consider,

1. As there is positive correlation, so answer is greater than.

2. As slope=0.5 is positive, so answer should increase.

3. Observed son's height=190.2

4. Putting x=201.9 in the regression equation,

Predicted son's height= 192.

Thank you.