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 ,0.1a.Figure the correlation coefficientDescribe the correlationFigure the linear prediction rule; list the b value, a value and the final formulaPredict the time it takes to press a button if the familiarity with the word is 1

1. In this case, familiarity of words is the independent variable (x) and whether the time it takes to predict whether the word is singular or plural (y), is the dependent variable.The data inserted in EXCEL is defined below: Step-by-step procedure to obtain the least squares regression equation using EXCEL is defined as follows: In Excel sheet, enter x and y in columns A and B, respectively. In Data, select Data Analysis and choose Regression. In Input Y Range, select $A$1:$A$6. In Input X Range, select $B$1:$B$6. Select Labels. Click OK. Output obtained using Excel is given below: The correlation is 0.9873. It can be said that, there is strong positive linear association between X and Y.2. From the output the regression equation for the model is y = 2.2 – 0.3x. c. Substitute x = 1 in the regression equation. That is, y = 2.2 – 0.3(1) = 1.9 Thus, the predicted time it takes to press a button if the familiarity with the word is 1 is 1.9 seconds.

Answered: A cognitive psychologist conducted a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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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