Sb1 = 0.42, Consider the following estimated regression equation: ŷ = 44+6.9x1-9.1x2+2.4x3, and let Sb₂ = 1.13, and S63 1.12. Assume you used a data set with 20 observations to estimate the parameters. The p-value of the appropriate statistic used to test the significance of the value of the coefficient of x3 is best represented by which of the following ranges? (₂) = n. value> 0.10
Sb1 = 0.42, Consider the following estimated regression equation: ŷ = 44+6.9x1-9.1x2+2.4x3, and let Sb₂ = 1.13, and S63 1.12. Assume you used a data set with 20 observations to estimate the parameters. The p-value of the appropriate statistic used to test the significance of the value of the coefficient of x3 is best represented by which of the following ranges? (₂) = n. value> 0.10
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Statistics
![**Consider the following estimated regression equation:**
\[ \hat{y} = 44 + 6.9x_1 - 9.1x_2 + 2.4x_3 \]
where the standard errors are given by \( s_{b_1} = 0.42 \), \( s_{b_2} = 1.13 \), and \( s_{b_3} = 1.12 \). Assume you used a data set with 20 observations to estimate the parameters.
**Question:**
The p-value of the appropriate statistic used to test the significance of the value of the coefficient of \( x_3 \) is best represented by which of the following ranges?
- (a) \( p - \text{value} > 0.10 \)
- (b) \( 0.10 \ge p - \text{value} > 0.05 \)
- (c) \( 0.05 \ge p - \text{value} > 0.02 \)
- (d) \( 0.02 \ge p - \text{value} > 0.01 \)
- (e) \( 0.01 \ge p - \text{value} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F840ac9d4-eb27-4280-b70d-21eed9a81895%2F3d940bd1-cdca-4176-9f92-10439f607a12%2Fmlvwpea_processed.png&w=3840&q=75)
Transcribed Image Text:**Consider the following estimated regression equation:**
\[ \hat{y} = 44 + 6.9x_1 - 9.1x_2 + 2.4x_3 \]
where the standard errors are given by \( s_{b_1} = 0.42 \), \( s_{b_2} = 1.13 \), and \( s_{b_3} = 1.12 \). Assume you used a data set with 20 observations to estimate the parameters.
**Question:**
The p-value of the appropriate statistic used to test the significance of the value of the coefficient of \( x_3 \) is best represented by which of the following ranges?
- (a) \( p - \text{value} > 0.10 \)
- (b) \( 0.10 \ge p - \text{value} > 0.05 \)
- (c) \( 0.05 \ge p - \text{value} > 0.02 \)
- (d) \( 0.02 \ge p - \text{value} > 0.01 \)
- (e) \( 0.01 \ge p - \text{value} \)
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