Fitting a straight line to a set of data yields the followin

Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. Y_i=18-0 3X_1 The Y-intercept, b_0 = 18, implies that the average value of Y is 18. Interpret the meaning of the slope, b_1. Choose the correct answer below. The slope, b_1 = - 0.3, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.3 units. The slope, b_1 = 0.3, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.3 units. The slope, b_1 = 18, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 18 units. The slope, b_1 = - 0.3, implies that the average value of Y is - 0.3. Predict the mean value of Y for X = 5.

Solution

answer of part (a)

yes average value of Y is 18 it implies

answer of part(b)

option a is true

answer of part (c) is 16.5

Y=18-0.3X=18-0.3x5=18-1.5=16.5