Asked by Maggie Desmond on May 01, 2024

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Suppose that the sample regression equation of a model is Suppose that the sample regression equation of a model is   .If we examine the relationship between y and x<sub>2</sub> for x<sub>1</sub> = 1,2,and 3,we observe that the three equations produced not only differ in the intercept term,but the coefficient of x<sub>2</sub> also varies. .If we examine the relationship between y and x2 for x1 = 1,2,and 3,we observe that the three equations produced not only differ in the intercept term,but the coefficient of x2 also varies.

Sample Regression Equation

An equation that estimates the relationship between the dependent variable and one or more independent variables based on sample data.

Intercept Term

A constant term in a regression equation that represents the expected value of the dependent variable when all independent variables are zero.

Coefficient

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

  • Understand the concept of simple linear regression models and their attributes.
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#MissJayy TheMUAMay 05, 2024
Final Answer :
True
Explanation :
This is true. The sample regression equation includes both an intercept term and a coefficient for the independent variable(s), and these values determine the specific equation of the regression line. As x2 changes, the intercept term will change, but the coefficient of x2 will also change depending on the specific values of the variables and the data being analyzed.