11.93 View of rotated objects. Perception & Psychophysics (July 1998) reported on a study of how people view three- dimensional objects projected onto a rotating two-dimensional image. Each in a sample of 25 university students viewed various depth-rotated objects (e.g., a hairbrush, a duck, and a shoe) until they recognized the object. The recognition ex- posure time-that is, the minimum time (in milliseconds) re- quired for the subject to recognize the object--was recorded for each object. In addition, each subject rated the "goodness of view" of the object on a numerical scale, with lower scale values corresponding to better views. The following table gives the correlation coefficient r between recognition expo- sure time and goodness of view for several different rotated objects: Object r t Piano .447 2.40 Bench -.057 .27 Motorbike .619 3.78 Armchair .294 1.47 Teapot .949 14.50 a. Interpret the value of r for each object. b. Calculate and interpret the value of r² for each object. c. The table also includes the t-value for testing the null hypothesis of no correlation (i.e., for testing Ho: B₁ = 0). Interpret these results using x = .05.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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11.93 View of rotated objects. Perception & Psychophysics
(July 1998) reported on a study of how people view three-
dimensional objects projected onto a rotating two-dimensional
image. Each in a sample of 25 university students viewed
various depth-rotated objects (e.g., a hairbrush, a duck, and
a shoe) until they recognized the object. The recognition ex-
posure time-that is, the minimum time (in milliseconds) re-
quired for the subject to recognize the object--was recorded
for each object. In addition, each subject rated the "goodness
of view" of the object on a numerical scale, with lower scale
values corresponding to better views. The following table
gives the correlation coefficient r between recognition expo-
sure time and goodness of view for several different rotated
objects:
Object
r
t
Piano
.447
2.40
Bench
-.057
.27
Motorbike
.619
3.78
Armchair
.294
1.47
Teapot
.949
14.50
a. Interpret the value of r for each object.
b. Calculate and interpret the value of r² for each object.
c. The table also includes the t-value for testing the null
hypothesis of no correlation (i.e., for testing Ho: B₁ = 0).
Interpret these results using x = .05.
Transcribed Image Text:11.93 View of rotated objects. Perception & Psychophysics (July 1998) reported on a study of how people view three- dimensional objects projected onto a rotating two-dimensional image. Each in a sample of 25 university students viewed various depth-rotated objects (e.g., a hairbrush, a duck, and a shoe) until they recognized the object. The recognition ex- posure time-that is, the minimum time (in milliseconds) re- quired for the subject to recognize the object--was recorded for each object. In addition, each subject rated the "goodness of view" of the object on a numerical scale, with lower scale values corresponding to better views. The following table gives the correlation coefficient r between recognition expo- sure time and goodness of view for several different rotated objects: Object r t Piano .447 2.40 Bench -.057 .27 Motorbike .619 3.78 Armchair .294 1.47 Teapot .949 14.50 a. Interpret the value of r for each object. b. Calculate and interpret the value of r² for each object. c. The table also includes the t-value for testing the null hypothesis of no correlation (i.e., for testing Ho: B₁ = 0). Interpret these results using x = .05.
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