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The accompanying data file contains 20 observations on the response variable y along with the predictor variables x , d 1 , and d 2

The accompanying data file contains 20 observations on the response variableyalong with the predictor variablesx,d1, andd2.

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a.Estimate a regression model with the predictor variablesx,d1, andd2, and then extend it to also include the interaction variabled1d2. What is the estimated regression coefficient for the predictor variablexin both models?(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

b-1.Which is the preferred model for making predictions?

b-2.Use the preferred model to predicty.(Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.)

y x d1 d2
36 16 0 0
31 18 1 1
29 8 0 0
33 11 0 1
31 6 1 0
26 15 0 0
39 14 0 0
26 18 0 1
16 8 1 1
1 12 0 1
28 22 0 0
17 7 0 0
30 14 0 0
49 25 1 1
35 6 1 0
45 16 1 1
23 14 0 1
2 8 0 1
29 16 0 0
51 16 1 0

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