Fitting a straight line to a set of data yields the following prediction line. C
ID: 3250204 • Letter: F
Question
Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
Yi=120.9Xi
1. Interpret the meaning of the Y-intercept, b0. Choose the correct answer below.
A. The Y-intercept, b0=12, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 12 units.
B. The Y-intercept, b0=12, implies that the average value of Y is 12.
C. The Y-intercept, b0=12, implies that when the value of X is 0, the mean value of Y is 12.
D. The Y-intercept, b0=0.9, implies that when the value of X is 0, the mean value of Y is negative 0.9.
2. Interpret the meaning of the slope, b1. Choose the correct answer below
A. The slope, B1=0.9, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.9 units
B. The slope, b1=12, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 12 units.
C. The slope, b1=0.9, implies that the average value of Y is minus0.9.
D. The slope, b1=0.9, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.9 units.
3. Predict the mean value of Y for X=6.
Yi= ___?
Explanation / Answer
1)
The Y-intercept, b0=12, implies that when the value of X is 0, the mean value of Y is 12.
Answer is (c)
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2)
The slope, b1=0.9, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.9 units.
Answer is (d)
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3)
For X = 6,
Y = 12 - 0.9*(6)
Y = 6.6
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