A study was conducted to deterrnine whether a linear relationship exists between the breaking strength y of wooden beams and the specific gravity x of the wood. Ten randomly selected beams of the same...

A study was conducted to deterrnine whether a linear relationship exists between the breaking 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 density of the wood for each of the ten beams are shown in the following table. Specific Gravity (.1.) Strength (y) I .4,9 11.14 1 .558 .604 12.74 13.13 .441 11.51 5 .550 12.38 6 .528 12.60 7 .418 11.13 8 .480 11.70 .406 11.02 1(91 .467 11.41 (a) Estirnate the linear regression line. (b) Test I/0: /1, = 0 against the alternative hypothesis II, >0