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Suppose That the Sample Regression Equation of a Model Is =4+1.5x1+2x2x1x2=4+1.5 x_{1}+2 x_{2}-x_{1} x_{2}

question 53

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Suppose that the sample regression equation of a model is  Suppose that the sample regression equation of a model is   =4+1.5 x_{1}+2 x_{2}-x_{1} x_{2}  . If we examine the relationship between  x _ { 1 }  and y for four different values of  x _ { 2 }  , we observe that the four equations produced differ only in the intercept term. =4+1.5x1+2x2x1x2=4+1.5 x_{1}+2 x_{2}-x_{1} x_{2} . If we examine the relationship between x1x _ { 1 } and y for four different values of x2x _ { 2 } , we observe that the four equations produced differ only in the intercept term.

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Definitions:

Slope

In mathematics, the measure of the steepness or incline of a line, typically defined as the ratio of the vertical change to the horizontal change between two points on the line.

Y-axis

The vertical line on a graph, typically representing the dependent variable in a two-dimensional coordinate system.

X-axis

A horizontal line that typically represents independent variables or data points in a two-dimensional graph.

Positive Relationship

A correlation where an increase in one variable is associated with an increase in another variable.

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