I a Correlation Coefficient of -1 or +1 Indicates Perfect

question 116

Multiple Choice

i. A correlation coefficient of -1 or +1 indicates perfect correlation. ii. A coefficient of correlation close to 0 (say, 0.08) shows that the relationship between two variables is quite weak.
iii. Coefficients of -0.91 and +0.91 have equal strength.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Sum of Squares

A statistical technique used to describe the total variation of a dataset by summing the squares of the differences from the mean.

F-Ratio

A statistical measure used in the analysis of variance (ANOVA), comparing the variance among group means to the variance within groups.

Studentized Residuals

Residuals in regression analysis that have been standardized by dividing by an estimate of their standard deviation to identify outliers.

Plot

A graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables.