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

14.94      

3.60      

4.15      

0.0008    

x

2.37      

0.60      

3.95      

0.0000    

d

5.58      

3.10      

1.80      

0.0907    

xd

1.33      

0.50      

2.66      

0.0171    

a.

Compute y-hat for x = 10 and d = 1; then compute y-hat for x = 10 and d = 0. (Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.)

              y-hat

  x = 10 and d = 1

  x = 10 and d = 0

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

Explanation / Answer

here for above estimated y =14.94+2.37x-5.58d +1.33xd

a) for x=10 and d=1 ;

predicted y =14.94+2.37*10-5.58*1 +1.33*10*1=46.36

for x=10 ; d=0 ;

predicted y =14.94+2.37*10-5.58*0+1.33*10*0=38.64

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