
Explanation:
The -statistics for the intercept and coefficient on are significant as indicated by the associated -values being less than 0.05: 0.0007 and 0.0004 respectively. Therefore, and can be rejected. The -statistic on the ANOVA table has a -value equal to 0.0012; therefore, can be rejected. The -value associated with the coefficient on is 0.3026, which is greater than the 0.05 significance level. Thus, the null hypothesis cannot be rejected.
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Question 57
Use the following information to answer this question.
Regression Statistics
R squared 0.8537
Adjusted R squared 0.8120
Standard error 10.3892
Number of observations 10
ANOVA
| df | SS | MS | F | p-value | |
|---|---|---|---|---|---|
| Explained | 2 | 4410.4500 | 2205.2250 | 20.4309 | 0.0012 |
| Residual | 7 | 755.5500 | 107.9357 | ||
| Total | 9 | 5166.0000 |
Coefficients
| Coefficients | Std. Error | t-Stat | p-value | |
|---|---|---|---|---|
| Intercept | 35.5875 | 6.1737 | 5.7644 | 0.0007 |
| 1.8563 | 1.6681 | 1.1128 | 0.3026 | |
| 7.4250 | 1.1615 | 6.3923 | 0.0004 |
Based on the results and a 5% level of significance, which of the following hypotheses cannot be rejected?
A
B
C
D
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