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 57 55 64 55 58 67 69 62 63 Weight (in g) 369 328 251 350 294 343 361 416 342 396 The hypothesis to be tested is Ho : p = 0 H1 : p + 0 at a = 0.01 level of significance where p is the population correlation coefficient. Given: • The estimated simple linear regression equation is Y = -159 + 8.214X. • The sample correlation coefficient is r = 0.8533. a) Calculate the value of the test statistic. Round your answer to 4 decimal places. b) Reject Ho if or if t > c) Give the correct decision and conclusion. Do not reject Họ and conclude that there is a linear association. Reject Ho and conclude that there is no linear association. Do not reject Họ and conclude that there is no linear association. Reject Ho and conclude that there is a linear association. d) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X). Round your answer to the nearest integer. e) Calculate the estimated weight (in g) of a snake that is 62 cm long. Round your answer to the nearest integer.
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 57 55 64 55 58 67 69 62 63 Weight (in g) 369 328 251 350 294 343 361 416 342 396 The hypothesis to be tested is Ho : p = 0 H1 : p + 0 at a = 0.01 level of significance where p is the population correlation coefficient. Given: • The estimated simple linear regression equation is Y = -159 + 8.214X. • The sample correlation coefficient is r = 0.8533. a) Calculate the value of the test statistic. Round your answer to 4 decimal places. b) Reject Ho if or if t > c) Give the correct decision and conclusion. Do not reject Họ and conclude that there is a linear association. Reject Ho and conclude that there is no linear association. Do not reject Họ and conclude that there is no linear association. Reject Ho and conclude that there is a linear association. d) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X). Round your answer to the nearest integer. e) Calculate the estimated weight (in g) of a snake that is 62 cm long. Round your answer to the nearest integer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman