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 3 .604 13.13 441 11.51 5 .550 12.38 6 528 12.60 418 I1.13 480 11.70 406 I1.02 467 11.41 10 (a) Estimate the linear regression line. (b) Test Ho: B = 0 against the alternative hypothesis H,: B, > 0.

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 3 .604 13.13 441 11.51 5 .550 12.38 6 528 12.60 418 I1.13 480 11.70 406 I1.02 467 11.41 10 (a) Estimate the linear regression line. (b) Test Ho: B = 0 against the alternative hypothesis H,: B, > 0.

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Description: 6. A study was conducted to determine whether a linear relationship exists between thebreaking strength y of wooden beams and the specific gravity x of the wood. Tenrandomly selected beams of the same cross-sectional dimensions were stressed untilth

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

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