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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Suppose you used Minitab to fit the modely = ?0 + ?1x1 +

Chapter 12, Problem 135SE

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QUESTION:

Problem 135SE

Suppose you used Minitab to fit the model

y = β0 + β1x1 + β2x2 + ε

to n = 15 data points and obtained the printout shownbelow.

a. What is the least squares prediction equation?

b. Find R2 and interpret its value.

c. Is there sufficient evidence to indicate that the modelis useful for predicting y? Conduct an F-test usingα = .05.

d. Test the null hypothesis H0: β1 = 0 against the alternative hypothesis Ha: β1 ≠ 0. Test using α = .05. Drawthe appropriate conclusions.

e. Find the standard deviation of the regression modeland interpret it.

Questions & Answers

QUESTION:

Problem 135SE

Suppose you used Minitab to fit the model

y = β0 + β1x1 + β2x2 + ε

to n = 15 data points and obtained the printout shownbelow.

a. What is the least squares prediction equation?

b. Find R2 and interpret its value.

c. Is there sufficient evidence to indicate that the modelis useful for predicting y? Conduct an F-test usingα = .05.

d. Test the null hypothesis H0: β1 = 0 against the alternative hypothesis Ha: β1 ≠ 0. Test using α = .05. Drawthe appropriate conclusions.

e. Find the standard deviation of the regression modeland interpret it.

ANSWER:

Step 1 of 8

Here we have the following MINITAB output of the model  for

the given n =15 data points.

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