Akiko Hamaguchi is a manager at a small sushi restaurant in Phoenix, Arizona. Ak

Question

Akiko Hamaguchi is a manager at a small sushi restaurant in Phoenix, Arizona. Akiko is concerned that the weak economic environment has hampered foot traffic in her area, thus causing a dramatic decline in sales. In order to offset the decline in sales, she has pursued a strong advertising campaign. She believes advertising expenditures have a positive influence on sales. To support her claim, Akiko assumes the linear regression model as Sales = ?0 + ?1 Advertising + ?2 Unemployment + ?. A portion of the regression results is shown in the accompanying table. Use Table 2 and Table 4.

Find the value of the appropriate test statistic. (Round your answer to 3 decimal places.)

Find the p-value. (Round your answer to 4 decimal places.)

  ANOVA df SS MS F Significance F   Regression 2    83.9974 41.9987 8.472 0.0039          Residual 14    69.4038 4.9574   Total 16    153.4012

Explanation / Answer

(a-1)H0: ?1 = ?2 = 0; HA: At least one ? j ? 0

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(a-2) Test statistic

F=8.472

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(a-3)Yes, since the F-test is significant.

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(b-1)H0: ?2 ? 0; HA: ?2 < 0

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(b-2) p-value= 0.0610

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