The authors of an article found that the speed of a prey (twips/s) and the length of a prey (twips x 100) are good predictors of the time (seconds) required to catch the prey. (A twip is a measure of distance used by programmers.) Data were collected in a experiment in which subjects were asked to "catch" an animal of prey moving across his or her computer screen by clicking on with the mouse. The investigators varied the length of the prey and the speed with which the prey moved across the screen. The following data are consistent with summary values and a graph given in the article. Each value represents the average cato time over all subjects. The order of the various speed-length combinations was randomized for each subject.
The authors of an article found that the speed of a prey (twips/s) and the length of a prey (twips x 100) are good predictors of the time (seconds) required to catch the prey. (A twip is a measure of distance used by programmers.) Data were collected in a experiment in which subjects were asked to "catch" an animal of prey moving across his or her computer screen by clicking on with the mouse. The investigators varied the length of the prey and the speed with which the prey moved across the screen. The following data are consistent with summary values and a graph given in the article. Each value represents the average cato time over all subjects. The order of the various speed-length combinations was randomized for each subject.
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
Transcribed Image Text:(b) Predict the catch time for an animal of prey whose length is 6 and whose speed is 50. (Round your answer to three decimal
places.)
S
(c) Is the multiple regression model useful for predicting catch time? Test the relevant hypotheses using a = 0.05.
State the null and alternative hypotheses.
Ho: neither ₁ nor B₂ is 0.
H₂: B₁ = P₂ =
= 0
a
1
H₁: B ₁ = B₂ = 0
H₂: at least one of P₁ or B₂ is not 0.
Ho: at least one of ₁ or ₂ is not 0.
Ha: B₁ = B₂ = 0
Ho: B₁ = P₂ = 0
H₂: neither ₁ nor B₂ is 0.
Calculate the test statistic. (Round your answer to two decimal places.)
F =
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value =
What can you conclude?
O Fail to reject Ho. We do not have convincing evidence that the multiple regression model is useful and cannot
conclude that ₁ and ₂ are both not 0.
Reject Ho. We have convincing evidence that the multiple regression model is useful and can conclude that neither ₁
nor B₂ is 0.
O Reject Ho. We have convincing evidence that the multiple regression model is useful and can conclude that at least
one of B₁ or B₂ is not 0.
O Fail to reject Ho. We do not have convincing evidence that the multiple regression model is useful and cannot
conclude that at least one of ₁ or ₂ is not 0.
(d) The authors of the article suggest that a simple linear regression model with the single predictor
length
speed
X =
might be a better model for predicting catch time. Calculate these x values and use them to fit a simple linear regression
model. (Round your numerical values to three decimal places.)
ŷ =
Transcribed Image Text:A statistical program is recommended.
The authors of an article found that the speed of a prey (twips/s) and the length of a prey (twips x 100) are good predictors of
the time (seconds) required to catch the prey. (A twip is a measure of distance used by programmers.) Data were collected in an
experiment in which subjects were asked to "catch" an animal of prey moving across his or her computer screen by clicking on it
with the mouse. The investigators varied the length of the prey and the speed with which the prey moved across the screen.
The following data are consistent with summary values and a graph given in the article. Each value represents the average catch
time over all subjects. The order of the various speed-length combinations was randomized for each subject.
Prey Length Prey Speed Catch Time
7
y =
6
5
4
3
3
4
6
7
7
6
5
7
6
7
5
3
6
20
3
20
20
20
20
40
40
40
40
80
60
80
100
100
120
80
80
100
1.09
120
1.21
1.24
1.41
1.50
1.41
1.37
1.31
1.27
1.39
1.37
1.40
1.43
1.43
1.69
1.51
(a) Fit a multiple regression model for predicting catch time using prey length and speed as predictors. (Use x₁ for prey length
for speed. Round your numerical values to three decimal places.)
and X2
1.41
1.49
1.90
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 3 steps with 2 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