The height and weight of 15 male students are measured and recorded as follows, where y is the weight in pounds and x is the height in inches of each student: y 68.0 69.5 68.5 72.5 69.0 70.5 67.5 70.0...

The height and weight of 15 male students are measured and recorded as follows,

where y is the weight in pounds and x is the height in inches of each student:

y 68.0 69.5 68.5 72.5 69.0 70.5 67.5 70.0 68.0 71.5 66.0 70.0 71.5 66.5 69.5

x 151 166 172 198 153 168 180 174 162 181 147 178 161 155 176

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.