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.
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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 41E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt