Asked by Beniah Greene on Jul 13, 2024

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The Y-intercept,b0,of the least squares line The Y-intercept,b<sub>0</sub>,of the least squares line   represents the: A) estimated average value of Y when X = 0. B) estimated average change in Y per unit change in X. C) predicted value of Y. D) variation around the sample regression line. represents the:

A) estimated average value of Y when X = 0.
B) estimated average change in Y per unit change in X.
C) predicted value of Y.
D) variation around the sample regression line.

Y-intercept

The point where a line or curve intersects the y-axis of a graph, corresponding to the value of the dependent variable when all independent variables are zero.

Least Squares Line

A line of best fit determined by minimizing the sum of squares of the differences between observed values and the values predicted by the line.

Sample Regression Line

A line of best fit through a scatterplot of sample data points in regression analysis, used to estimate the relationship between variables.

  • Understand the calculation and implications of slopes and intercepts in linear regression.
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MA
Mitchell AshbaughJul 18, 2024
Final Answer :
A
Explanation :
The Y-intercept (b0) represents the estimated average value of Y when X = 0. This is because when X = 0, the only variable left is the intercept, which gives us the predicted value of Y.