This Question: 1 pt 2 of 5 (0 complete) This Quiz: 5 pts possibl Fitting a strai

Question

This Question: 1 pt 2 of 5 (0 complete) This Quiz: 5 pts possibl Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. , -10-0.5X a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. increase by 10 units. O B. The Yintercept. bo--0.5, implies that when the value of X is 0, the mean value of Y is-05. ° C. The Y-intercept, bo-10, implies that the average value of Y is 10. 0 D. The Y-intercept, bo-10, implies that when the value of X is 0, the mean value of Y is 10. b. Interpret the meaning of the slope, by. Choose the correct answer below. The slope, b,-10, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 10 units The slope, b,--0.5, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.5 units The slope, b,--0.5, implies that the average value of Y is-05. The slope, b,-0.5, implies that for each increase of 1 unit in X, the value of Y is expected to A. O B. C. O D. Click to select your answer(s).

Explanation / Answer

a) Correct Answer: Option (D)

since Y-cap = 10 - 0.5X
If X = 0
then Y-cap = 10 - 0.5*0 = 10

b)
Correct Answer: Option (B)

since

If X = 5 then Y-cap = Y-cap = 10 - 0.5(5) = 7.5

If X = 6 then Y-cap = Y-cap = 10 - 0.5(6) = 7

We observed that As X increase 1 unit, Y-cap value decreases 0.5 units

c) Answer: 6.5

If X = 7 then
Y-cap = 10 - 0.5*7 = 10 - 3.5 = 6.5

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