In a population of snakes, researchers caught and measured ten adult females. Their body lengths (X) and weights (Y) are shown in the table be Length (in cm) 64 70 63 61 62 60 57 51 59 54 Weight (in g) 254 296 310 284 225 192 190 155 204 179 The hypothesis to be tested is Ho : p = 0 H1: p#0 at a = 0.05 level of significance where pis the population correlation coefficient. Given: The estimated simple linear regression equation is Y = -278 + 8.439X. The sample correlation coefficient is r = 0.8356.

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
In a population of snakes, researchers caught and measured ten adult females. Their body lengths (X) and weights (Y) are shown in the table below.
Length (in cm)
64
70
63
61
62
60
57
51
59
54
Weight (in g)
254
296 310
284
225
192
190
155
204
179
The hypothesis to be tested is
Но : р — 0
H1 : p + 0
at a =
0.05 level of significance where pis the population correlation coefficient.
Given:
The estimated simple linear regression equation is Y = -278 + 8.439X.
The sample correlation coefficient is r =
0.8356.
Transcribed Image Text:In a population of snakes, researchers caught and measured ten adult females. Their body lengths (X) and weights (Y) are shown in the table below. Length (in cm) 64 70 63 61 62 60 57 51 59 54 Weight (in g) 254 296 310 284 225 192 190 155 204 179 The hypothesis to be tested is Но : р — 0 H1 : p + 0 at a = 0.05 level of significance where pis the population correlation coefficient. Given: The estimated simple linear regression equation is Y = -278 + 8.439X. The sample correlation coefficient is r = 0.8356.
Calculate the value of the test statistic.
Round your answer to 4 decimal places.
b)
Reject Ho if t <
or if t >
c)
Give the correct decision and conclusion.
O Do not reject Ho and conclude that there is no linear association.
O Reject Ho and conclude that there is a linear association.
O Do not reject Ho and conclude that there is a linear association.
O Reject Ho and conclude that there is no linear association.
Transcribed Image Text:Calculate the value of the test statistic. Round your answer to 4 decimal places. b) Reject Ho if t < or if t > c) Give the correct decision and conclusion. O Do not reject Ho and conclude that there is no linear association. O Reject Ho and conclude that there is a linear association. O Do not reject Ho and conclude that there is a linear association. O Reject Ho and conclude that there is no linear association.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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