College of Doctoral Studies
DBA830:Module 7 Problem Set
Selectthe response that is correct from the list of choices. Highlight yourselection to indicate it as your answer. Add an explanation of whyyou made that choice.

Which of the following is NOT true regarding the Pearson ProductMoment Correlation Coefficient. (Notice, identify the choice that is NOT true.)

The Pearson ProductMoment Correlation Coefficient is used for bivariate correlations.

The Pearson ProductMoment Correlation Coefficient is a parametric statistic.

The Pearson ProductMoment Correlation Coefficient requires variables that are measured on continuous scales of measurement.

The Pearson ProductMoment Correlation Coefficient is always a positive value – The value of PPMCC can fall anywhere between the range 1 and +1.
Correctanswer(s): D

The Pearson ProductMoment Correlation Coefficient WOULD be used if your data

Are rank scores

Have unequal variances

Are curvilinear

Are normally distributed – PPMCC requires the variables under consideration to be normally distributed because it is highly sensitive to outliers and skewed distributions.
Correctanswer(s): D

True or False? A negative relationship is one where as the values on one variable get larger, the paired values on the other variable also get larger.

True

False – A negative relationship involves indirect proportionality, i.e. as the values of one variable increase, the paired values for the other variable decrease.
Correctanswer(s): False

True or False? Values of r can fall anywhere between 1 and +1.

True – The value of r can fall anywhere between 1 and +1.

False
Correctanswer(s): True

If you compute r = .7, the coefficient of determination is

.14

.70

.49 – The coefficient of determination is given by the square of r of r^{2}.

None of the above
Correctanswer(s): C

True or False? A coefficient of determination of .3 means that you are predicting 9% of the variability in variable Y from the variability in variable X.

True

False – A coefficient of determination of 0.3 means that 30% of the variability in variable Y are caused by the variability in variable X.
Correctanswer(s): True

A correlation of .75 would be interpreted as a

Low correlation

Moderate correlation

High correlation – Correlations above +.70 signify a strong positive correlation between variables.

Very high correlation
Correctanswer(s): C

You have a nondirectional hypothesis and have set your alpha at .01. You have 30 pairs of scores. What is the criterion value of r you need to equal or exceed to have a significant correlation so you can reject the null hypothesis?

.449

.361

.349 – The nondirectional hypothesis nullifies the null hypothesis and therefore, the level of correlation must be low.

.463
Correctanswer(s): D

True or False? Multiple regression allows you to have more than one predictor of the one criterion variable.

True – Multiple regression allows prediction of one variable using more than one predictor variables.

False

Correct answer(s): True
Trueor False? The Spearman Rho correlation coefficient should be used ifyour data do not meet the assumptions for the Pearson ProductMomentcorrelation coefficient regarding normal distribution and/orhomogeneity of variances.

True – If a data set does not meet the assumptions of the PPMCC, the Spearman Rho correlation coefficient should be used.

False
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