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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Author:Amos Gilat
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**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) \( 0.01 \ge p - \text{value} \)
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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