A researcher conducts a study of familiarity with certain unusual words and the time it takes a participant to press a button indicating whether the word is singular or plural. All participants are given the same words
They rate their familiarity with these words (after the reaction-time part) on a 7-point scale (high = familiar). Below are the scores for the first three participants. That is, for Person A, average familiarity of the words used was 6 and average reaction time was 1.25 seconds.
M = 3.67 SD = 1.70 M = 2.08 SD = .80 r = .87
a. Give the Z score prediction formula for predicting reaction time from familiarity.
b. Predict the reaction time for a person who rates his or her familiarity as a 5.
c. Explain what you have done to a person who is familiar with correlation but not with regression.
What will be an ideal response?
a. Predicted ZY = (−.87)(ZX).
b. ZX = (5 −?3.67)/1.70 = .78; predicted ZY (−.87)(.78) = −.68
Predicted Y = 2.08 + (−.68)(.80) = 1.54 seconds.
c. Answers will vary
Trial Jury's Hours of
Length (Days) Deliberation
Trial X ZX Y ZY
I 5 −.55 8 .17
II 20 1.65 12 1.52
III 8 −.11 6 −.51
IV 2 −.99 4 −1.18
Person Familiarity Reaction Time
Tested X ZX Y ZY
A 6 1.37 1.25 ‘−1.04
B 2 −.98 3.16 1.35
C 3 −.39 1.84 −.30
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