Using 20 observations, the following regression output is obtained from estimati

Question

Using 20 observations, the following regression output is obtained from estimating y = 0 + 1x + 2d + 3xd + .

Coefficients

Standard
Error

t Stat

p-value

Intercept

10.08      

3.15      

3.20      

0.0056    

x

3.92      

0.70      

5.60      

0.0000    

d

4.72      

4.00      

1.18      

0.2552    

xd

2.76      

0.50      

5.52      

0.0000    

a.

Compute y-hat for x = 11 and d = 1; then compute y-hat for x = 11 and d = 0. (Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.)

              y-hat

  x = 11 and d = 1

  x = 11 and d = 0

Using 20 observations, the following regression output is obtained from estimating y = 0 + 1x + 2d + 3xd + .

Explanation / Answer

predicted value =y = 10.08+3.92x-4.72d+2.76xd

a) therefore predicted value =10.08+3.92*11-4.72*1+2.76*11*1=78.84

b)  predicted value =10.08+3.92*11-4.72*0+2.76*11*0=53.2

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