Question

y = 32.3167 + 0.5888 x 1 + 0.3319 x 2 a. Interpret b 1 and b 2 in this estimated regression equation. b 1 = y changes by 0.5888 when x 1 increases by 1 unit and × 2 stays the same

Answer 1

In the estimated regression equation, b1 represents the change in y when x1 increases by 1 unit while x2 stays the same. Similarly, b2 represents the change in y when x2 increases by 1 unit while x1 stays the same.

Step-by-step explanation:

In the estimated regression equation y = 32.3167 + 0.5888 x1 + 0.3319 x2, b1 represents the change in y when x1 increases by 1 unit while x2 stays the same. So, if x1 increases by 1 unit while x2 remains constant, y will increase by 0.5888 units.

Similarly, b2 represents the change in y when x2 increases by 1 unit while x1 stays the same. So, if x2 increases by 1 unit while x1 remains constant, y will increase by 0.3319 units.