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.

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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 log2(2A/W)
%D
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)
%3D
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.
d. Çalculate the coefficient of determination, r². Interpret the result.
Transcribed Image Text: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 log2(2A/W) %D 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) %3D 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. d. Çalculate the coefficient of determination, r². Interpret the result.
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