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Constant 12.410 5.234 2.12 0.060
X1 0.2415 0.0345 7.47 0.000
X2 0.0362 0.024 -1.60 0.140
S = 1.76 R-SQ = 97.8% R-SQ(adj) = 96.6%
Analysis of Variance
Source DF SS MS F P
Regression 2 849.65 424.83 130.10 0.000
Residual Error 10 32.65 3.27
Total 12 882.30
Source DF SEQ. SS
X1 1 841.25
X2 1 8.40
Using the MINITAB solution, answer the following questions for the population regression model 
a) Write the estimated regression equation.
b) Write the values of 
, 
, 
and explain the meaning of these estimated regression coefficients.
c) Write the values of the standard deviation of the coefficients of , , .
d) What are the values of the variance and standard deviations of errors, the coefficient of determination, the adjusted coefficient of determination, SST, SSR, SSE, MSR, and MSE?
e) What is the predicted value of y for 
and 
?
f) Construct a 99% confidence interval for the coefficient of 
in the population regression model.
g) Make a 95% confidence interval for the coefficient of 
in the population regression model.
h) Determine a 90% confidence interval for 
, the constant term in the population regression model.
4. The following is the MINITAB solution for a regression of y on , and 
.
Regression Analysis: Y versus X1, X2, X3
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| Confidence interval for individual coefficients | | | Source DF SEQ SS |