In the simple linear regression model Y_i = β₀ + β₁X_i+ u_i, A)the intercept is typically small and unimportant. B)β₀ + β₁X_irepresents the population regression function. C)the absolute value of the slope is typically between 0 and 1. D)β₀ + β₁X_irepresents the sample regression function.

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Quizplus · Accepted Answer

βS1U1B10S1U1B0 + βS1U1B11S1U1B0XS1U1B1i S1U1B0 represents the population regression function, which describes the expected relationship between the independent variable (X) and dependent variable (Y) in the entire population. This is the true relationship that we are trying to estimate through our sample data. The intercept (βS1U1B10S1U1B0) and slope (βS1U1B11S1U1B0) represent the parameters of this function. The intercept may or may not be small and unimportant, and the absolute value of the slope can vary widely depending on the context. The sample regression function is represented by the equation YS1U1B1iS1U1B0 = bS1U1B0 + bS1U1B1iS1U1B0X, where bS1U1B0 and bS1U1B1iS1U1B0 are the estimated intercept and slope based on the sample data.

In the Simple Linear Regression Model Yi = β0

In the Simple Linear Regression Model Y_i = β₀