Which of the Following Statements About Correlations Is NOT Correct

question 170

Multiple Choice

Which of the following statements about correlations is NOT correct?

• A)A and B correlate +1.00; therefore, they are causally related.
• B)A and B correlate +1.00; if you know A you can predict B without error.
• C)A and B correlate -1.00; if you know A you can predict B without error.
• D)A correlation of +.90 gives better predictability than a correlation of +.60.

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Definitions:

Y-intercept

The point on a graph where a line intersects the Y-axis, often used to represent the starting value of a relationship in linear equations.

Slope

Measures the steepness or incline of a line, calculated as the ratio of vertical change to horizontal change between any two points on the line.

F Statistic

A ratio of variances used in the analysis of variance (ANOVA) to assess the significance of the difference between group means.

Least Squares Regression

A statistical method used to determine the line of best fit by minimizing the sum of squares of the differences between observed values and those predicted by a linear model.