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 exposure time-that is, the minimum time (in milliseconds) required 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 exposure 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 H0: β1 = 0). Interpret these results using x = .05.