a) Calculate the correlation coefficient.  b) Does this mean that familiarity causes fast reaction time? Why or why not?  c) Predict the raw reaction time for a familiarity rating of 4.

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Question: 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 rate their familiarity with these on a scale of 1-7 (7 being highly familiar). All participants are timed as well and their reaction time is recorded in seconds.  The raw scores from the three participants are listed below .

Participant                   Familiarity rating (X)             Reaction time (seconds) (Y)

1                                  6                                              1

2                                  2                                              3

3                                  3                                              4

 

a) Calculate the correlation coefficient

b) Does this mean that familiarity causes fast reaction time? Why or why not? 

c) Predict the raw reaction time for a familiarity rating of 4. 

d) What is the proportion of variance in reaction time that is accounted for by familiarity?  

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