The height and weight of 15 men are measured and recorded as follows, where y is the weight in kg and x is the height in meters of each man: y 70.3 76.1 73.5 88.1 72.8 66.5 75.5 80.7 88.7 76.6 79.7...

The height and weight of 15 men are measured and recorded as follows, where y is

the weight in kg and x is the height in meters of each man:

y 70.3 76.1 73.5 88.1 72.8 66.5 75.5 80.7 88.7 76.6 79.7 75.3 68.5 69.4 78.8

x 1.69 1.79 1.73 1.82 1.81 1.68 1.76 1.76 1.84 1.74 1.71 1.74 1.72 1.75 1.78

Use linear least squares regression to find the optimal values for a, b, c, d in relationships between the variables of the form y ¼ a þ bx and x ¼ c þ dy. Draw both

of these relationships on a graph. Using these two plotted relationships as a guide,

draw a single line that represents the best straight-line fit to the height/weight data

given and calculate the gradient of this line. Also, calculate the correlation coefficient F.