A cognitive psychologist conducted a study of whether familiarity of words (X) predicts the time it takes (in seconds) to press a button indicating whether the word is singular or plural (Y), with all participants being given the same words. Familiarity with these words was rated at a later time on a 7-point scale (with higher numbers indicating more familiarity). The participants' scores were:                                                  X : 6, 2, 5 ,3 ,7                                                Y : 0.3 , 1.5 , 0.8 , 1.4 ,0.1 a.Figure the correlation coefficient Describe the correlation Figure the linear prediction rule; list the b value, a value and the final formula Predict the time it takes to press a button if the familiarity with the word is 1

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  1. A cognitive psychologist conducted a study of whether familiarity of words (X) predicts the time it takes (in seconds) to press a button indicating whether the word is singular or plural (Y), with all participants being given the same words. Familiarity with these words was rated at a later time on a 7-point scale (with higher numbers indicating more familiarity). The participants' scores were:

 

                                               X : 6, 2, 5 ,3 ,7

                                               Y : 0.3 , 1.5 , 0.8 , 1.4 ,0.1

a.Figure the correlation coefficient

  1. Describe the correlation
  2. Figure the linear prediction rule; list the b value, a value and the final formula
  3. Predict the time it takes to press a button if the familiarity with the word is 1
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