t to estimate the average age of trees in a stand. Determining some because one needs to count the tree rings on a core e tree. In general, though, the older the tree, the larger and diameter is easy to measure. The foresters measure of all 1132 trees and find that the population mean equals ien randomly select 120 trees for age measurement. meter, x Age, y Tree No. Diameter, x Age, y 12.0 125 11 5.7 61 11.4 119 12 8.0 80 7.9 83 13 10.3 114 9.0 85 14 12.0 147 10.5 99 15 9.2 122 7.9 117 16 8.5 106 7.3 69 17 7.0 82 10.2 133 18 10.7 88 11.7 154 19 9.3 97 11.3 168 20 8.2 99 scatterplot of y vs. I. e the populationm mean age of trees in the stand using imation and give an approximate standard error for your (b) using regression estimation. our estimates on your graph. How do they compare?

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
Foresters want to estimate the average age of trees in a stand. Determining
age is cumbersome because one needs to count the tree rings on a core
taken form the tree. In general, though, the older the tree, the larger
the diameter, and diameter is easy to measure. The foresters measure
the diameter of all 1132 trees and find that the population mean equals
10.3. They then randomly select 120 trees for age measurement.
Tree No. Diameter, x Age, y Tree No. Diameter, x Age, y
1
12.0
125
11
5.7
61
11.4
119
12
8.0
80
3
7.9
83
13
10.3
114
4
9.0
85
14
12.0
147
5
10.5
99
15
9.2
122
7.9
117
16
8.5
106
7
7.3
69
17
7.0
82
10.2
133
18
10.7
88
9.
11.7
154
19
9.3
97
10
11.3
168
20
8.2
99
(a) Draw a scatterplot of y vs. r.
(b) Estimate the population mean age of trees in the stand using
ratio estimation and give an approximate standard error for your
estimate.
(c) Repeat (b) using regression estimation.
(d) Label your estimates on your graph. How do they compare?
Transcribed Image Text:Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome because one needs to count the tree rings on a core taken form the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 120 trees for age measurement. Tree No. Diameter, x Age, y Tree No. Diameter, x Age, y 1 12.0 125 11 5.7 61 11.4 119 12 8.0 80 3 7.9 83 13 10.3 114 4 9.0 85 14 12.0 147 5 10.5 99 15 9.2 122 7.9 117 16 8.5 106 7 7.3 69 17 7.0 82 10.2 133 18 10.7 88 9. 11.7 154 19 9.3 97 10 11.3 168 20 8.2 99 (a) Draw a scatterplot of y vs. r. (b) Estimate the population mean age of trees in the stand using ratio estimation and give an approximate standard error for your estimate. (c) Repeat (b) using regression estimation. (d) Label your estimates on your graph. How do they compare?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Similar 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