The following function returns the coefficient of the estimated linear functional relationship between x and y: (a) Note where, for each of the three settings of the argument scale, the values of the...

The following function returns the coefficient of the estimated linear functional relationship between x and y:

(a) Note where, for each of the three settings of the argument scale, the values of the functional coefficient lie in the range between b_y.x
and b⁻¹
_x.y
, where b_y.x
is the slope of the regression line of y on x and b_x.y
is the slope of the regression line of x on y.

(b) Repeat this for each of the data frames softbacks and elastic2 and (with the variables logpet and loglen) leafshape17.

(c) Explain the effect of changing the settings of the argument scale.