Question

In the regression model Yhati = 35 + 3Xi, what do b0 and b1 represent?

A) Intercept and slope, respectively
B) Slope and intercept, respectively
C) Residual and constant, respectively
D) Constant and residual, respectively

Answer 1

In the regression model Yhati = 35 + 3Xi, b0 represents the y-intercept and b1 represents the slope, so the correct answer is A) Intercept and slope, respectively.

Step-by-step explanation:

In the regression model Yhati = 35 + 3Xi, b0 and b1 represent the intercept and slope, respectively. Therefore, the correct answer is A) Intercept and slope, respectively. The term b0, which is 35 in the equation, is the y-intercept, indicating where the line crosses the y-axis. This happens when the value of X is 0. On the other hand, b1 is the coefficient of the variable X, which is 3 in this case, and represents the slope of the line, defining the change in Y for a one-unit change in X. A slope of 3 indicates that for every one unit increase in X, Y increases by 3 units.