Minitab was used to fit the model E(y) = 0 + 1x1 + 2x2 to n =

Minitab was used to fit the model
E(y) = β0 + β1x1 + β2x2 to n = 20 data points, and the printout shown on the next page was obtained.
a. What are the sample estimates of β1, β2, and β3?
b. What is the least squares prediction equation?
c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.
d. Test H0: β1 = 0 against H0: β1 ‰  0. Use α = .05.
e. Use a 95% confidence interval to estimate β2.
f. Find R2 and R2a and interpret these values.
g. Find the test statistic for testing H0: β1 = β2 = 0.
h. Find the observed significance level of the test, part g. Interpret the result.

Transcribed Image Text:

The regression equation is Y 506.35-941.9 X1-429.1 X2 Coet SE Coet Predictor Constant 506.346 x1 X2 45.1711.21 0.000 941.900 275.08 -3.42 0.003 -429.060 379.83 -1.13 0.274 S 94,251 R-Sq 45.9% R-Sq (adj ) 39.6% # # Analysis of Variance Source Regression Residual Error 17 151016 Total DF 64165 8883 2 128329 7.22 0.005 19 279345