Question

Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. Y = 3 + 4X a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, b = 3, implies that when the value of X is the mean value of Y is 3. O B. The Y-intercept, bo = 4, implies that when the value of X is 0, the mean value of Y is 4. O C. The Y-intercept, bo = 3, implies that the average value of Y is 3. O D. The Y-intercept, bo = 3, implies that for each increase of 1 unit in X, the value of Y is expected to inerease by 3 units. b. Interpret the meaning of the slope, b. Choose the correct answer below. O A. The slope, b, = 4, implies that the average value of Yis 4 O B. The slope, b, 4, implies that for each increase of 1 unit in X the value of Y is expected to decrease by 4 units. O C The slope, b, = 3. implies that for each increase of 1 unit in X, the value of Y is expected to increase by 3 units D. The slope, b, = 4, implies that for each increase of 1 unit in X the value of Y is expected to increase by 4 units. O

Answer 1

a.) Ans. A. The Y-intercept bo = 3, implies that when the value of X=0, the mean value of Y is 3.

Basically the intercept is the value of Y when X=0, but since mean of y and mean of x satisfy the regression equation, thus we can say that the Amean value of Y is 3.

b.) Ans. D. The slope of b1 = 4 implies that for each increase of 1 unit in X, the value of