SUMMARY OUTPUT 

Regression Statistics 

Multiple R 
0.972971 

R Square 
0.946673 

Adjusted R Square 
0.944355 

Standard Error 
76.07265 

Observations 
49 

ANOVA 

df 
SS 
MS 
F 
Significance F 

Regression 
2 
4725757 
2362878 
408.3046 
5.24E30 

Residual 
46 
266204.2 
5787.049 

Total 
48 
4991961 

Coefficients 
Standard Error 
t Stat 
Pvalue 
Lower 95% 
Upper 95% 

Intercept 
0.46627 
14.97924 
0.03113 
0.975302 
30.6179 
29.68537 
X1 
0.09548 
0.084947 
1.123997 
0.266846 
0.07551 
0.26647 
X2 
0.896042 
0.205319 
4.364141 
7.16E05 
0.482756 
1.309328 
a. What is the interpretation of Signficance F, 5.24E30?
b. What is the interpretation of the the pvalue .266846 ?
c. What is the interpretation of the pvalue 7.16E05 ?
d. For X1= 100 and x2=75, what is the forecasted value of Y?
Que.a
The Signficance F, 5.24E30, it is the pvalue for F test, which is less than 0.05. Hence fitted regression equation is statistically significant.
Que.b
The pvalue .266846 for t test for the variable X1 is greater than 0.05, hence X1 is not statistically significant. That is X1 does not contribute significantly in the model
Que.c
The pvalue 7.16E05 for t test for the variable X2 is less than 0.05, hence X2 is statistically significant. That is X2 contribute significantly in the model.
Que.d
The forecasted value of Y is,
Y = 0.46627 + 0.09548 X1 + 0.896042 X2
= 0.46627 + 0.09548 (100) + 0.896042 (75)
= 76.28488
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