(a) Calculate and write out the least-squares regression equation. (b) Calculate a 90% confidence interval for the slope ?1 of the regression. (c) Test the hypothesis that the altitude of origin affects the dark respiration rate. Write down the pair of hypotheses, specify the test statistic value or the P-value and state your conclusion of the test. Use ?=0.05 (d) For a batch of bugs collected at an altitude of 720 meters, what is the plausible range of the dark respiration rate? Provide an appropriate 95% int

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
icon
Concept explainers
Question

(a) Calculate and write out the least-squares regression equation.

(b) Calculate a 90% confidence interval for the slope ?1 of the regression.

(c) Test the hypothesis that the altitude of origin affects the dark respiration rate. Write down the pair of hypotheses, specify the test statistic value or the P-value and state your conclusion of the test. Use ?=0.05

(d) For a batch of bugs collected at an altitude of 720 meters, what is the plausible range of the dark respiration rate? Provide an appropriate 95% interval (confidence interval or prediction interval).

(e) What is the sample correlation coefficient?

The rowan (Sorbus aucuparia) is a tree that grows in a wide range of altitudes. To study how the tree adapts to its varying habitats,
researchers collected twigs with attached buds from 12 trees growing at various altitudes in North Angus, Scotland. The buds were
brought back to the laboratory and measurements were made of the dark respiration rate. The accompanying table shows the altitude
of origin (in meters) of each batch of buds and the dark respiration rate (expressed as µl of oxygen per hour per mg dry weight of
tissue).
ALTITUDE OF
RESPIRATION
ORIGIN X (m) RATE Y (µl/hr × mg)
90
0.11
230
0.20
240
0.13
260
0.15
330
0.18
400
0.16
410
0.23
550
0.18
590
0.23
610
0.26
700
0.32
790
0.37
Transcribed Image Text:The rowan (Sorbus aucuparia) is a tree that grows in a wide range of altitudes. To study how the tree adapts to its varying habitats, researchers collected twigs with attached buds from 12 trees growing at various altitudes in North Angus, Scotland. The buds were brought back to the laboratory and measurements were made of the dark respiration rate. The accompanying table shows the altitude of origin (in meters) of each batch of buds and the dark respiration rate (expressed as µl of oxygen per hour per mg dry weight of tissue). ALTITUDE OF RESPIRATION ORIGIN X (m) RATE Y (µl/hr × mg) 90 0.11 230 0.20 240 0.13 260 0.15 330 0.18 400 0.16 410 0.23 550 0.18 590 0.23 610 0.26 700 0.32 790 0.37
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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