a) Which of the following is(are) TRUE about the test of significance on the correlation coefficient? 4 i. ii. iv. Pearson's product-moment correlation data: weight and DBH t = 13.011, df = 6, p-value = 1.27e-05 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0.9042967 0.9969877 sample estimates: cor 0.9827369 There is no sufficient evidence to say that there is a linear relationship between weight and diameter at breast height. There is sufficient evidence to say that there is a linear relationship between weight and diameter at breast height. There is no sufficient evidence to say that weight is linearly dependent on diameter at breast height. There is sufficient evidence to say that weight is linearly dependent on diameter at breast height.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(P2) Helping tags: Statistics, Analysis of Relationships Among Variables, Measures of Association, Simple and Multiple Linear Regression, Path Analysis

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WILL UPVOTE, just pls help me answer the following questions in the attached image. Pls show complete solutions and explain them. Thank you!

2. It is beneficial to be able to estimate the weight of a tree based on
measurements of the tree taken before its harvest. Measurements on two
variables were taken from a random sample of trees, which were
subsequently harvested, and the actual weight (in kg) of the products
were determined. The variables measured are trunk diameter at breast
height or DBH (measured about 4 feet from ground level; in inches),
height of tree (in feet), and embryo type (monocot or dicot).
a) Which of the following is(are) TRUE about the test of significance on the
correlation coefficient? 4
i.
ii.
iii.
iv.
Pearson's product-moment correlation
data: weight and DBH
t = 13.011, df = 6, p-value = 1.27e-05
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
0.9042967 0.9969877
sample estimates:
cor
0.9827369
There is no sufficient evidence to say that there is a linear
relationship between weight and diameter at breast height.
There is sufficient evidence to say that there is a linear relationship
between weight and diameter at breast height.
There is no sufficient evidence to say that weight is linearly
dependent on diameter at breast height.
There is sufficient evidence to say that weight is linearly dependent
on diameter at breast height.
Transcribed Image Text:2. It is beneficial to be able to estimate the weight of a tree based on measurements of the tree taken before its harvest. Measurements on two variables were taken from a random sample of trees, which were subsequently harvested, and the actual weight (in kg) of the products were determined. The variables measured are trunk diameter at breast height or DBH (measured about 4 feet from ground level; in inches), height of tree (in feet), and embryo type (monocot or dicot). a) Which of the following is(are) TRUE about the test of significance on the correlation coefficient? 4 i. ii. iii. iv. Pearson's product-moment correlation data: weight and DBH t = 13.011, df = 6, p-value = 1.27e-05 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0.9042967 0.9969877 sample estimates: cor 0.9827369 There is no sufficient evidence to say that there is a linear relationship between weight and diameter at breast height. There is sufficient evidence to say that there is a linear relationship between weight and diameter at breast height. There is no sufficient evidence to say that weight is linearly dependent on diameter at breast height. There is sufficient evidence to say that weight is linearly dependent on diameter at breast height.
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