Fitts' Law is a robust and highly adopted model of human movement. According to Fitts' Law, the time T required to move and select a target of width W that lies at a distance (or amplitude) A is T = a + b log,(2A/W) where a and b are constants estimated using simple linear regression. The quantity log,(2A/W) is termed the Index of Difficulty (ID) and represents the independent variable (measured in "bits") in the model. Research reported in the Special Interest Group on Computer-Human Interaction Bulletin (July 1993) used Fitts' Law to model the time (in milliseconds) required to perform a certain task on a computer. Based on data collected for n = 160 trials (using different values of A and W), the following least squares prediction equation was obtained: Î = 175.4 + 133.2(ID) a. Interpret the estimates, 175.4 and 133.2. b. The coefficient of correlation for the analysis is r = .951. Interpret this value. c. Conduct a test to determine whether the model using Fitts' Law is statistically adequate for predicting performance time. Use a = .05.

Fitts' Law is a robust and highly adopted model of human movement. According to Fitts' Law, the time T required to move and select a target of width W that lies at a distance (or amplitude) A is T = a + b log,(2A/W) where a and b are constants estimated using simple linear regression. The quantity log,(2A/W) is termed the Index of Difficulty (ID) and represents the independent variable (measured in "bits") in the model. Research reported in the Special Interest Group on Computer-Human Interaction Bulletin (July 1993) used Fitts' Law to model the time (in milliseconds) required to perform a certain task on a computer. Based on data collected for n = 160 trials (using different values of A and W), the following least squares prediction equation was obtained: Î = 175.4 + 133.2(ID) a. Interpret the estimates, 175.4 and 133.2. b. The coefficient of correlation for the analysis is r = .951. Interpret this value. c. Conduct a test to determine whether the model using Fitts' Law is statistically adequate for predicting performance time. Use a = .05.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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