The table below gives the data on hand strength collected from college freshman using a grip meter. The preferred row gives the hand strength of each student's preferred hand while the nonpreferred column gives the hand strength of their nonpreferred hand.

(a) Use a calculator or computer to find the least squares regression line, $y = mx + b$, where the independent variable $x$ denotes the grip strength of the preferred hand and the dependent variable $y$ denotes the grip strength of the nonpreferred hand. Enter the equation for the line below. (Use at least four decimal places in any constants in your answer.)
$y =$

(b) What would the predicted grip strength in the nonpreferred hand be for a student with a preferred hand strength of 39 kg?
strength = kg (round to nearest whole number)

(c) For each of the preferred grip strengths values, decided whether you would use extrapolation or interpolation to approximate the value of the corresponding nonpreferred grip strength.

(i) A preferred grip strength of 20 kg? ? Interpolation Extrapolation
(ii) A preferred grip strength of 57 kg? ? Interpolation Extrapolation
(iii) A preferred grip strength of 17 kg? ? Interpolation Extrapolation
(iv) A preferred grip strength of 39 kg? ? Interpolation Extrapolation