6. A study was conducted to determine 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...

Extracted text: 6. A study was conducted to determine 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. Beam Specific Gravity (x) Strength (y) .499 11.14 .558 12.74 .604 13.13 I1.51 12.38 12.60 .441 550 .528 7 418 11.13 480 406 8 11.70 9 11.02 10 .467 11.41 (a) Estimate the linear regression line. (b) Test H.: B = 0 against the alternative hypothesis H,: B, > 0.