Question

In: Statistics and Probability

Evaluate whether each of the following statements are true or false. It is appropriate to compute...

  1. Evaluate whether each of the following statements are true or false.

  1. It is appropriate to compute the correlation coefficient when one of the variables is ordinal as long as at least one variable is in interval. (True/False)

  1. R (correlation coefficient) between X and Y represents the percentage of variability of variable X explained by variability of variable Y (True/False)

  1. When correlation coefficient is negative, standard error of prediction is also negative (True/False)

  1. When correlation coefficient is positive, beta (B) value in regression equation is always positive (True/False)
  1. b) Explain the reason why you chose the answer for i in question 17 above (whether it is appropriate to compute the correlation coefficient when one of the variables is ordinal).

Solutions

Expert Solution

  1. Evaluate whether each of the following statements are true or false.
  2. It is appropriate to compute the correlation coefficient when one of the variables is ordinal as long as at least one variable is in interval. (True/False)

False (Reason is mentioned in the last question)

  1. R (correlation coefficient) between X and Y represents the percentage of variability of variable X explained by variability of variable Y (True/False)

false: this is called the R2 or coefficient of determination

  1. When correlation coefficient is negative, standard error of prediction is also negative (True/False)

false: standard error is mainly depending on the standard deviation and n, and both are positive, and correlation sign depends on the covariance.

  1. When correlation coefficient is positive, beta (B) value in regression equation is always positive (True/False)

true; both variables sign depends on the covariance.  

  1. b) Explain the reason why you chose the answer for i in question 17 above (whether it is appropriate to compute the correlation coefficient when one of the variables is ordinal).

reason: correlation data is the paired data. if the one variable is ordinal and its corresponding variable must be a single value, it should not be interval.

Thnaks

orchestra answered 1 year ago
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