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 1.20 5 20 1.24 4 20 1.40 3 20 1.50 3 40 1.41 4 40 1.35 6 40 1.31 7 40 1.28 7 80 1.40 6 60 1.39 5 80 1.40 7 100 1.42 6 100 1.42 7 120 1.69 5 80 1.49 3 80 1.41 6 100 1.49 3 120 1.91 Fit a multiple regression model for predicting catch time using prey length and speed as predictors. (Use x1 for prey length and x2 for speed. Round your numerical values to three decimal places.) y = 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 Calculate the test statistic and calculate the P-value. (Round your answer to two decimal places.) F = P-value =

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter38: Achievement Review—section Three

Section: Chapter Questions

Problem 6AR

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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	1.20
5	20	1.24
4	20	1.40
3	20	1.50
3	40	1.41
4	40	1.35
6	40	1.31
7	40	1.28
7	80	1.40
6	60	1.39
5	80	1.40
7	100	1.42
6	100	1.42
7	120	1.69
5	80	1.49
3	80	1.41
6	100	1.49
3	120	1.91

Fit a multiple regression model for predicting catch time using prey length and speed as predictors. (Use x₁ for prey length and x₂ for speed. Round your numerical values to three decimal places.)

y =

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

Calculate the test statistic and calculate the P-value. (Round your answer to two decimal places.)

F =

P-value =

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