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1. It is important that scientific researchers in the area of forest products be able to study correlation among the anatomy and mechanical properties of trees. According to the study Quantitative Anatomical Characteristics of Plantation Grown Loblolly Pine (Pinus Taeda L.) and Cottonwood (Populus deltoids Bart. Ex Marsh.) and their Relationships to Mechanical Properties conducted by the Department of Forestry and Forest Products at the Virginia Polytechnic Institute and State University, an experiment in which 29 loblolly pines were randomly selected for investigation yielded the data of Table 2 on the specific gravity in grams/cm' and the modulus rupture in kilopascals (kPa). Table 2: Data of 29 Loblolly Pines Specific Gravity, Modulus of Rupture, Specific Gravity, Modulus of Rupture, * (g/cm') x (g/em') 0.581 0.557 y (kPa) 85,156 y (kPa) 0.425 0.383 0.399 29,205 29.266 26,215 30,162 38,867 69,571 0.576 88,975 73,466 78,610 67,657 74,017 87,291 86,836 82,540 0.402 0.531 0.550 0.442 37,831 44,576 0.556 0.422 0.466 0.523 0.602 0.569 0.500 46,097 59,698 67,705 66,088 78,486 89,869 77,369 0.514 0.530 0.544 0.569 80,728 82,096 75,657 80,490 0.547 0.530 0.558 0.577 0.572 0.547 0.585 0.565 71,568 a. Compute and interpret the sample correlation coefficient. b. Test the hypothesis that there is no linear association among the variables. c. Test the null hypothesis that p = 0.9 using a 0.05 level of significance.

1. It is important that scientific researchers in the area of forest products be able to study correlation among the anatomy and mechanical properties of trees. According to the study Quantitative Anatomical Characteristics of Plantation Grown Loblolly Pine (Pinus Taeda L.) and Cottonwood (Populus deltoids Bart. Ex Marsh.) and their Relationships to Mechanical Properties conducted by the Department of Forestry and Forest Products at the Virginia Polytechnic Institute and State University, an experiment in which 29 loblolly pines were randomly selected for investigation yielded the data of Table 2 on the specific gravity in grams/cm' and the modulus rupture in kilopascals (kPa). Table 2: Data of 29 Loblolly Pines Specific Gravity, Modulus of Rupture, Specific Gravity, Modulus of Rupture, * (g/cm') x (g/em') 0.581 0.557 y (kPa) 85,156 y (kPa) 0.425 0.383 0.399 29,205 29.266 26,215 30,162 38,867 69,571 0.576 88,975 73,466 78,610 67,657 74,017 87,291 86,836 82,540 0.402 0.531 0.550 0.442 37,831 44,576 0.556 0.422 0.466 0.523 0.602 0.569 0.500 46,097 59,698 67,705 66,088 78,486 89,869 77,369 0.514 0.530 0.544 0.569 80,728 82,096 75,657 80,490 0.547 0.530 0.558 0.577 0.572 0.547 0.585 0.565 71,568 a. Compute and interpret the sample correlation coefficient. b. Test the hypothesis that there is no linear association among the variables. c. Test the null hypothesis that p = 0.9 using a 0.05 level of significance.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. It is important that scientific researchers in the area of forest products be able to study correlation among the anatomy and mechanical properties of trees. According to the study Quantitative Anatomical Characteristics of Plantation Grown Loblolly Pine (Pinus Taeda L.) and Cottonwood (Populus deltoids Bart. Ex Marsh.) and their Relationships to Mechanical Properties conducted by the Department of Forestry and Forest Products at the Virginia Polytechnic Institute and State University, an experiment in which 29 loblolly pines were randomly selected for investigation yielded the data of Table 2 on the specific gravity in grams/cm and the modulus rupture in kilopascals (kPa). Table 2: Data of 29 Loblolly Pines Specific Gravity, Modulus of Rupture, Specific Gravity, Modulus of Rupture, x (g/em') 0.425 0.383 0.399 y (kPa) x (g/em') 0.581 y (kPa) 85,156 29,205 29,266 26,215 30,162 38,867 37,831 44,576 0.557 69,571 0.576 0.531 0.550 88,975 73,466 0.402 0.442 0.422 78,610 67,657 74,017 87,291 0.556 0.466 0.523 0.500 0.514 0.602 46,097 59,698 67,705 66,088 78,486 89,869 77,369 0.569 86,836 82,540 0.530 0.569 0.558 0.577 0.572 0.544 80,728 82,096 75,657 80,490 0.547 0.530 0.547 0.585 0.565 71,568 a. Compute and interpret the sample correlation coefficient. b. Test the hypothesis that there is no linear association among the variables. c. Test the null hypothesis that p = 0.9 using a 0.05 level of significance.
Transcribed Image Text:1. It is important that scientific researchers in the area of forest products be able to study correlation among the anatomy and mechanical properties of trees. According to the study Quantitative Anatomical Characteristics of Plantation Grown Loblolly Pine (Pinus Taeda L.) and Cottonwood (Populus deltoids Bart. Ex Marsh.) and their Relationships to Mechanical Properties conducted by the Department of Forestry and Forest Products at the Virginia Polytechnic Institute and State University, an experiment in which 29 loblolly pines were randomly selected for investigation yielded the data of Table 2 on the specific gravity in grams/cm and the modulus rupture in kilopascals (kPa). Table 2: Data of 29 Loblolly Pines Specific Gravity, Modulus of Rupture, Specific Gravity, Modulus of Rupture, x (g/em') 0.425 0.383 0.399 y (kPa) x (g/em') 0.581 y (kPa) 85,156 29,205 29,266 26,215 30,162 38,867 37,831 44,576 0.557 69,571 0.576 0.531 0.550 88,975 73,466 0.402 0.442 0.422 78,610 67,657 74,017 87,291 0.556 0.466 0.523 0.500 0.514 0.602 46,097 59,698 67,705 66,088 78,486 89,869 77,369 0.569 86,836 82,540 0.530 0.569 0.558 0.577 0.572 0.544 80,728 82,096 75,657 80,490 0.547 0.530 0.547 0.585 0.565 71,568 a. Compute and interpret the sample correlation coefficient. b. Test the hypothesis that there is no linear association among the variables. c. Test the null hypothesis that p = 0.9 using a 0.05 level of significance.
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