Fitting a straight line to a set of data yields the following prediction line. C

Question

Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below A. The Y-intercept, bo-9, implies that when the value of X is 0, the mean value of Y is 9 B. The Y-intercept. bo-3, implies that when the value of X is 0, the mean value of Y is 3. O C. The Y-intercept, bo 9, implies that the average value of Y is 9 0 D. The Y-intercept. b.-9, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 9 units b. Interpret the meaning of the slope, b1 Choose the correct answer below 0 A. The slope, b 1 :3 implies that the average value of Y is 3 O B. The slope, b 1-3 implies that for each increase of 1 unt in X, the value of Y s expected to decrease by 3 units. C. The slope. b1-9, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 9 units. OD. The slooe. b, 3, implies that for each increase of 1 unit in X, the value of Y is expected to increase bv 3 units Click to select your answer(s).

Explanation / Answer

a) ans-> A. The Y intercept b0 = 9 implies that when the value of X is 0, the mean value of Y is 9

b) ans-> D. The slope b1 = 3 implies that for each increase of 1 unit in X, the value of Y is expected to increase by 3 units.

c) The predicted value of Y for X=4 is = 9+(3*4) = 9 + 12 = 21

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