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:

(^Symbol should be over the Y)

^Y_i = 16-0.05X_i

a. Interpret the meaning of the Y intercept, b_{0_}

b. Interpret the meaning of the slope b₁

c. Predict the value of Y for X=6

From the line Yi = 16-0.05Xi

slope b1 is -0.05, this means for every one unit increse of Xi, there is a decrement -0.05 of dependent variable yi.

when X=6, the value of Y is 16-0.05(6) = 16-0.3=15.7