Suppose you used MINITAB to fit the model y = 0 + 1x1 + 2x2 +

Suppose you used MINITAB to fit the model

y = β0 + β1x1 + β2x2 + ε

To n = 15 data points and you obtained the printout 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 in predicting y? Conduct an F-test, using α = .05.
d. Test the null hypothesis H0: β1 = 0 against the alter-native hypothesis Ha: β1 ‰  0. Use α = .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 Constant X1 X2 90.10 23.10 3.90 0.002 0.367 -5.01 0.001 0.285 0.231 -24 0.465 -1.836 S # 10, 68 R-Sq 91.64 R-Sq (adj, 90.2 # Analysis of Variance MS 7400 64.91 0.001 Source Regression Residual Ero 12 Total DF Ss 2 14801 13 64 14 16165 114