In Bivariate Regression Analysis, a Researcher Tries to Generate the Best-Filling

question 37

Multiple Choice

In bivariate regression analysis, a researcher tries to generate the best-filling line called the regression line. Any point that doesn't fall on this line contributes to error. The total error in regression is determined by:

• A)the number of points that don't fall on the regression line.
• B)the proportion of points that don't fall on the regression line.
• C)the sum of distances between the regression line and the points not on the line.
• D)the square of the sum of distances between the regression line and the points not on the line.
• E)the percentage of points that don't fall on the regression line.

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Definitions:

Prior Probabilities

The probabilities of events based on prior knowledge before any new evidence is considered.

Likelihood Probabilities

The probabilities that quantify the plausibility of different parameter values for a statistical model given the observed data.

Posterior Probabilities

The probabilities that are adjusted after taking into account known or observed evidence, particularly in the context of Bayesian inference.

Addition Rule

In probability theory, a rule that calculates the probability of either of two mutually exclusive events occurring.