Akiko Hamaguchi is a manager at a small sushi restaurant in Phoenix, Arizona. Ak
ID: 3437022 • Letter: A
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.)
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.
Explanation / Answer
ANOVA
df
SS
MS
F
Significance F
Regression
2
69.7974
34.8987
8.851
0.0033
Residual
14
55.2038
3.9431
Total
16
125.0012
Coefficients
Standard Error
t Stat
p-value
Lower 95%
Upper 95%
Intercept
14.6660
4.7989
3.0561
0.0085
4.3700
24.96
Advertising
0.0320
0.0086
3.7209
0.0022
0.0100
0.05
Unemployment
0.6725
0.2585
2.6015
0.0209
1.2300
0.1200
a-1.
Choose the appropriate hypotheses to test whether the explanatory variables jointly influence sales.
H0: 1 = 2 = 0; HA: At least one j < 0
H0: 1 = 2 = 0; HA: At least one j > 0
H0: 1 = 2 = 0; HA: At least one j 0
( alternate hypothesis is not equal to zero)
a-2.
Find the value of the appropriate test statistic. (Round your answer to 3 decimal places.)
F value in the ANOVA table is the test value.
Test statistic 8.851
ANOVA
df
SS
MS
F
Significance F
Regression
2
69.7974
34.8987
8.851
0.0033
Residual
14
55.2038
3.9431
Total
16
125.0012
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