We Know That the Linear Regression Must Be Used If

question 42

Multiple Choice

We know that the linear regression must be used if we have a strong relationship between and (or in other words when is proportional to ) . Choose the statement that best describes the values of and which indicate the fact that the relationship is very strong. ​

• A)The value of is very large and the value of is close to 1.
• B)The value of is very large and the value of is close to 0.
• C)The value of is small and the value of is close to 0.
• D)The value of is small and the value of is close to 1.

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Definitions:

Interaction

The mutual or reciprocal action or influence between entities or variables in a study.

Two-factor Factorial Design

An experimental setup that involves two independent variables and examines their interaction as well as the effect of each variable separately on the dependent variable.

Total SS

The total sum of squares, which quantifies the total variation in a dataset by measuring the sum of the squared differences from the mean.

Two-way Analysis of Variance

A statistical technique that evaluates the impact of two categorical independent variables on a continuous dependent variable.