In a simple regression analysis, the Y-intercept represents:A.The error term in the model.B.The estimated value of the dependent variable (Y) when X is zero.C.The slope of the regression line.D.The strength of the linear relationship between X and Y.
Question
In a simple regression analysis, the Y-intercept represents:A.The error term in the model.B.The estimated value of the dependent variable (Y) when X is zero.C.The slope of the regression line.D.The strength of the linear relationship between X and Y.
Solution
The Y-intercept in a simple regression analysis represents B. The estimated value of the dependent variable (Y) when X is zero.
Here's a step-by-step explanation:
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In a simple linear regression model, the relationship between two variables (X and Y) is represented by the equation Y = a + bX + e, where Y is the dependent variable, X is the independent variable, a is the Y-intercept, b is the slope, and e is the error term.
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The Y-intercept (a) is the point where the regression line crosses the Y-axis. In other words, it's the estimated value of Y when X is zero.
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Therefore, the Y-intercept represents the estimated value of the dependent variable (Y) when the independent variable (X) is zero.
So, the correct answer is B. The estimated value of the dependent variable (Y) when X is zero.
Similar Questions
The intercept in linear regression represents:a.the strength of the relationship between x and yb.the expected x value when y is zeroc.the expected y value when x is zerod.a population parameter
How is the intercept of the regression line calculated when regressing X on Y? Mean of X - (slope * Mean of Y) Mean of Y - (slope * Mean of X) Slope divided by Mean of X. Slope multiplied by Mean of Y.
is the y-intercept (the point where the line intersects the y-axis)
In a simple regression analysis, the slope represents:A.The estimated value of the dependent variable (Y) when X is zero.B.The point where the regression line intersects the Y-axis.C.The strength of the linear relationship between X and Y.D.The expected change in the dependent variable (Y) for a one-unit change in the independent variable (X).
The slope of a regression line represents:a.The average change in the dependent variable for a unit change in the independent variableb.The intercept of the regression linec.The correlation coefficient between the variablesd.The residual value in regression analysis
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