Use the data presented below and carry out the expansion method, introducing a variable that assumes that there is an interaction between the distance to the orchard (d) and the number of bees. Assume, then, that the regression equation is structured as follows:
Present the coefficients and the r2 value, and compare them with the results
Introducing the new term into the equation, the regression is structured as follows:
Honey = b1 Xtemperature + b2 Xpesticide + a0 Xbees + a1d Xbees + e
The regression equation returned by this is given below:
Honey = 161.6 Xtemperature - 30.3 Xpesticide + 11.8 Xbees - 0.643 Xdistance - 377.3
The standard error is 403.1 and the r2 is .874. This is superior to the original regression equation, but doesn’t perform as well as the equation with distance added directly into it.
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