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{Exercise 15.01} The estimated regression equation for a model involving two ind

ID: 2964752 • Letter: #

Question

{Exercise 15.01}
The estimated regression equation for a model involving two independent variables and 10 observations follows.


  1. Interpret b1 and b2 in this estimated regression equation.

    b1
    Selecty changes by .5906 when x1 increases by 1 unit and x2 stays the samey changes by .5906 when x2 increases by 1 unit and x1 stays the same x1 changes by .5906 when x2 increases by 1 unit and y stays the samex2 changes by .5906 when x1 increases by 1 unit and y stays the sameItem 1

    b2
    Selecty changes by .4980 when x1 increases by 1 unit and x2 stays the samey changes by .4980 when x2 increases by 1 unit and x1 stays the samex1 changes by .4980 when x2 increases by 1 unit and y stays the samex2 changes by .4980 when x1 increases by 1 unit and y stays the sameItem 2
  2. Estimate y when x1 = 180 and x2 = 310 (to 2 decimals).

Explanation / Answer

B1: y increases by .5906 when x1 increases by 1 unit and x2 remains the same.

B2 Y inceases by .4980 when x2 inceases by one unit and x1 remains the same.

29.1270+.5906(180)+.4980(310)= 289.82