The article "Behavioural Effects of Mobile Telephone Use During Simulated Driving"† reported that for a sample of 20 experimental subjects, the sample correlation coefficient for x = age and y = time since the subject had acquired a driving license (yr) was 0.97. Why do you think the value of r is so close to 1? (The article's authors give an explanation.)

Answer :

Chimara

Answer:

Step-by-step explanation:

Sample size N is equal to 20 experimental subjects (small sample size). Sample correlation coefficient r = 0.97

The variables are:

X = Age of subject (in years)

Y = Time since subject acquired a driving license (in years)

The general reason why the value of r for 2 variables will be very close to 1 is that the magnitude of the effect of the phenomenon-of-interest (behavioural effects of mobile telephone use during simulated driving) is very large.

r = 0.97 is a positive figure also. This implies that the phenomenon-of-interest in variable X and in variable Y move in the same direction or increase simultaneously.

For the r of 0.97, the behavioural effect of mobile telephone use during simulated driving as related to the age of the experimental subjects, IS ALMOST THE SAME MAGNITUDE as the behavioural effect of mobile telephone use during simulated driving as related to the time (in years) since subjects acquired a driving license.

This is the reason why the correlation coefficient here is very close to 1.

In this exercise, we have to analyze the article and explain why the coefficient is very close to 1 but is not the same. Thus, it will be necessary to use the knowledge of correlating the coefficients, so we can say that:

This implies that the phenomenon-of-interest in variable X and in variable Y move in the same direction or increase simultaneously.

Sample size N is equal to 20 experimental subjects (small sample size). Sample correlation coefficient [tex]r = 0.97[/tex]. The variables are:

  • X = Age of subject (in years)
  • Y = Time since subject acquired a driving license (in years)

The general reason why the value of r for 2 variables will be very close to 1 is that the magnitude of the effect of the phenomenon-of-interest (behavioural effects of mobile telephone use during simulated driving) is very large. r = 0.97 is a positive figure also. This implies that the phenomenon-of-interest in variable X and in variable Y move in the same direction or increase simultaneously. For the r of 0.97, the behavioural effect of mobile telephone use during simulated driving as related to the age of the experimental subjects, is almost the same magnetude as the behavioural effect of mobile telephone use during simulated driving as related to the time (in years) since subjects acquired a driving license. This is the reason why the correlation coefficient here is very close to 1.

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