The “name game.” Refer to the Journal of Experimental Psychology—Applied (June 2000) study in which the

“name game” was used to help groups of students learn the names of other students in the group, Exercise 10.42

(p. 555). [In the “name game” student #1 states his/her full name, student #2 his/her name and the name of the first student, student #3 his/her name and the names of the first two students, etc.] After a 30- minute seminar, all students were asked to remember the full name of each of the other students in their group, and the researchers measured the proportion of names recalled for each.

One goal of the study was to investigate the linear trend between y = proportion of names recalled and x =

position (order) of the student during the game. The data (simulated on the basis of summary statistics provided in the research article) for 144 students in the first eight positions are saved in the NAME2 file. The first five and last five observations in the data set are listed in the next table. [Note: Since the student in position 1 actually must recall the names of all the other students, he or she is assigned position number 9 in the data set.]

Use the method of least squares to estimate the line E1y2 = b0 + b1 x. Interpret the b estimates in the words of the problem.

Transcribed Image Text:

Position 2 22222 Recall 0.04 0.37 1.00 0.99 0.79 9 9 66660 9 9 9 0.72 0.88 0.46 0.54 0.99