If the Value of the Pearson Correlation Between Two Variables

question 34

True/False

If the value of the Pearson correlation between two variables is r = +1.00 or 1.00,then all data points in a scatter plot will fit perfectly on a straight line.

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Definitions:

Variance

A measure of the dispersion or spread of a set of data points, calculated as the average of the squared differences from the mean.

Central Tendency

A statistical measure that identifies a single value as representative of the middle of a dataset, commonly the mean, median, or mode.

Outliers

Data points that lie an abnormal distance from other values in a random sample from a population, often indicating a measurement or transcription error, or a novel phenomenon.

Variance

Measures the variability or spread of a set of data points around their mean; it's calculated as the average of the squared differences from the Mean.