If a Simple Linear Regression Model Has No Y-Intercept, Then

question 194

Short Answer

If a simple linear regression model has no y-intercept, then: $\begin{array}{|l|l|}\hline\text { A. } & \text {when \( x=0 \), so does \( y \). }\\\hline \text { B. } & \text { \( y \) is al ways zero.} \\\hline \text { C. } &\text {when \( y=0 \), so does \( x \). }\\\hline \text { D. } &\text {\( y \) is al ways equal to \( x \). }\\\hline\end{array}$

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Definitions:

Correlation Coefficient

A number ranging from -1.00 to +1.00 that expresses the direction (positive or negative) and strength of the relationship between two variables.

Covariance Coefficient

A statistical measure that indicates the extent to which two variables change together; it can be positive, negative, or zero.

Maximum-Likelihood Coefficient

A statistical measure that estimates the parameters of a model to maximize the likelihood of fitting the model to a given set of data.

Reciprocal Correlation

A mutual relationship or connection between two variables, where changes in one variable are reflected by changes in the other.