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 ✕ 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 20 1.11 6 20 1.21 5 20 1.23 4 20 1.41 3 20 1.51 3 40 1.39 4 40 1.36 6 40 1.31 7 40 1.29 7 80 1.39 6 60 1.39 5 80 1.40 7 100 1.43 6 100 1.44 7 120 1.69 5 80 1.49 3 80 1.40 6 100 1.50 3 120 1.90 (d) The authors of the article suggest that a simple linear regression model with the single predictor x= lenght/speed 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.) y =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 ✕ 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	20	1.11
6	20	1.21
5	20	1.23
4	20	1.41
3	20	1.51
3	40	1.39
4	40	1.36
6	40	1.31
7	40	1.29
7	80	1.39
6	60	1.39
5	80	1.40
7	100	1.43
6	100	1.44
7	120	1.69
5	80	1.49
3	80	1.40
6	100	1.50
3	120	1.90

(d) The authors of the article suggest that a simple linear regression model with the single predictor

x= lenght/speed

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.)

y =

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