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. Ycirc_i = 13 - 0.2X_i a. Interpret the meaning of the Y-intercept, b_0. Choose the correct answer below. bigcircA. The Y-intercept, b_0=13, implies that when the value of X is 0, the mean value of Y is 13. bigcircB. The Y-intercept, b_0 = 13, implies that the average value of Y is 13. bigcircC. The Y-intercept, d_0 = 13, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 13 units. bigcircD The Y-intercept, b_0= -0.2, implies that when the value of X is 0, the mean value of Y is -0.2. b. Interpret the meaning of die slope, b_1 Choose the correct answer below. bigcircA. The slope,  b_1 = -0.2 implies that the average value of Y is - 0.2. bigcircB. The slope, b_1 = 13, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 13 units. bigcircC The slope, b_1 = 0.2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.2 units. bigcircD The slope, b_1 = - 0.2, implies that for each increase of 1 unit in X, the value of Y isestimated to decrease by 0.2 units c. c. Predict the mean value of Y for X=7. Ycirc_1 = (Type an integer or a decimal.)

Explanation / Answer

A.The Y intercept is b0=13, implies that when the value of X=0, the mean value of Y is 13.

b.The slope b1=-0.2 implies that for each increase of 1 unit in X the value of Y is estimated to decrease by 0.2 units.

c.For X=7, Y^=13-0.2*7

=11.6

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