A study was conducted to determine whether a linear relationship exists between the break ing strength '9 of wooden beams and the specic gravity :2: of the wood. Ten randomly selected beams of the same cross-sectional dimensions were stressed until they broke. The breaking strengths and the density of the wood are shown in the accompanying table for each of the ten beams. Beam 1 2 3 4 5 6 7 8 9 10 Specic Gravity (as) 0.50 0.56 0.60 0.44 0.55 0.53 0.42 0.48 0.41 0.47 Strength ('90 11.1 12.7 13.1 11.5 12.4 12.6 11.1 11.7 11.0 11.4 (a) Fit the model :9 = o+lx+e That is, use the method of least squares to t a straight line. :7 points] (b) Test Ho : [31 = 0 against the alternative hypothesis, Ha : 31 7 0, using a = 0.01. :7 points] (c) Construct a 95% condence interval for the slope, 61. :3 points] (d) Compute the coefcient of determination, R2 and interpret the result. :3 points]