q2- In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
ŷ = 18.8 + 3.7x1 − 2.2x2 + 7.9x3 + 2.9x4
(a) Interpret b1 in this estimated regression equation.
a. b1 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.
b. b1 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant.
c. b1 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant.
d. b1 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.
e. b1 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant.
b. Interpret b2 in this estimated regression equation.
a. b2 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant.
b. b2 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant.
c. b2 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant.
d. b2 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.
e. b2 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.
c. Interpret b3 in this estimated regression equation.
a. b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant.
b. b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant.
c. b3 = −2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant.
d. b3 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.
e. b3 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant.
d. Interpret b4 in this estimated regression equation.
a. b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant.
b. b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant.
c. b4 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x3 are held constant.
d. b4 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant.
e. b4 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant.
(b) Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2.