For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on measurements before its harvest. It is believed that the weight of the tree is dependent on its height, in feet. To verify this, a random sample of eight trees were harvested and the height, as well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed, and the results are as follows: Coefficients: Estimate Std. Error t value Pr (> [t]) (Intercept) -965.774 352.075 -2.743 0.03360. Height 6.008 4.960 0.00255. 29.800 ---- Signif. codes: 0 ***** 0.001 0.01 0.05 0.11 Residual standard error: 286.5 on 6 degrees of freedom Multiple R-squared: 0.8039, Adjusted R-squared: 0.7713 F-statistic: 24.6 on 1 and 6 DF, p-value: 0.002552 36. Which of the following is(are) TRUE? 1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8 II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT A. I only B. II only C. Both I and II D. Neither I nor II 37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is A. Fail to reject Ho, Weight is not linearly dependent on tree's height. B. Fail to reject Ho, Weight is linearly dependent on tree's height. C. Reject Ho, Weight is not linearly dependent on tree's height. D. Reject Ho, Weight is linearly dependent on tree's height.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on
measurements before its harvest. It is believed that the weight of the tree is dependent on its
height, in feet. To verify this, a random sample of eight trees were harvested and the height, as
well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed,
and the results are as follows:
Coefficients:
Estimate Std. Error t value Px (>ltl)
(Intercept) -965.774 352.075 -2.743 0.03360.
Height
29.800
6.008 4.960 0.00255
Signif. codes: 0 ***** 0.001 0.01 0.05 0.1-
Residual standard error: 286.5 on 6 degrees of freedom
0.7713
Multiple R-squared: 0.8039, Adjusted R-squared:
F-statistic: 24.6 on 1 and 6 DF, D-value: 0.002552
C. Both I and II
INI
36. Which of the following is(are) TRUE?
1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8
II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT
A. I only
B. II only
37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is
M
A. Fail to reject Ho, Weight is not linearly dependent on tree's height.
B. Fail to reject Ho, Weight is linearly dependent on tree's height.
C. Reject Ho, Weight is not linearly dependent on tree's height.
D. Reject Ho, Weight is linearly dependent on tree's height.
D. Neither I nor ll
Transcribed Image Text:For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on measurements before its harvest. It is believed that the weight of the tree is dependent on its height, in feet. To verify this, a random sample of eight trees were harvested and the height, as well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed, and the results are as follows: Coefficients: Estimate Std. Error t value Px (>ltl) (Intercept) -965.774 352.075 -2.743 0.03360. Height 29.800 6.008 4.960 0.00255 Signif. codes: 0 ***** 0.001 0.01 0.05 0.1- Residual standard error: 286.5 on 6 degrees of freedom 0.7713 Multiple R-squared: 0.8039, Adjusted R-squared: F-statistic: 24.6 on 1 and 6 DF, D-value: 0.002552 C. Both I and II INI 36. Which of the following is(are) TRUE? 1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8 II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT A. I only B. II only 37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is M A. Fail to reject Ho, Weight is not linearly dependent on tree's height. B. Fail to reject Ho, Weight is linearly dependent on tree's height. C. Reject Ho, Weight is not linearly dependent on tree's height. D. Reject Ho, Weight is linearly dependent on tree's height. D. Neither I nor ll
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman