A study was conducted to determine whether a linear relationship exists between the break- ing strength y of wooden beams and the specific gravity x 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 Specific Gravity (x) 0.50 0.56 0.60 0.44 0.55 0.53 0.42 0.48 0.41 0.47 Strength (y) 11.1 12.7 13.1 11.5 12.4 12.6 11.1 11.7 11.0 11.4 (a) Fit the model y = Bot Bix te. That is, use the method of least squares to fit a straight line. [7 points] (b) Test Ho : B1 = 0 against the alternative hypothesis, Ha : B1 / 0, using a = 0.01. [7 points (c) Construct a 95% confidence interval for the slope, 31. 3 points] (d) Compute the coefficient of determination, R2 and interpret the result. [3 points]