Suppose you used Minitab to fit the model
y = β0 + β1x1 + β2x2 + ε
to n = 15 data points and obtained the printout shown below.

a. What is the least squares prediction equation?
b. Find R2 and interpret its value.
c. Is there sufficient evidence to indicate that the model is useful for predicting y? Conduct an F-test using a = .05.
d. Test the null hypothesis H0: β1 = 0 against the alternative hypothesis Ha: β1 ‰  0. Test using a = .05. Draw the appropriate conclusions.
e. Find the standard deviation of the regression model and interpret it.

Transcribed Image Text:

The regression equation is Y # 90 , 1-1,84 x1 .285 x2 Predictor Coef SE Coet Constant 90.10 X1 -1.836 О. 285 23.10 3.90 0.002 0.367 5.01 0.001 0.231 1.24 0.465 S # 10.68 R-Sq 91.6% R-Sq (adj) 90.24 " Analysis of Variance Source Regression Reaidual Error 12 Total DF HS 2 148017400 64.91 0.001 114 1364 14 16165