Suppose your are given the following regression equation: Y = 200 + 2x1 +0.5x2-0.75 x3 (50) (035) (067) -(030) Standard Errors Given this data, we can conclude that the coefficients for significant O X1 and X2: X3 O X2 and X3: X1. X1 and X3: X2 O X2: X1 and X3 are statistically_ and is(are) not

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### Regression Analysis Form

#### Given Equation:
\[ Y = 200 + 2X_1 + 0.5X_2 - 0.75X_3 \]

**Standard Errors:**
- For \( 2X_1 \): (50)
- For \( 0.5X_2 \): (0.35)
- For \( -0.75X_3 \): (0.30)

#### Question:
Given this data, we can conclude that the coefficients for _________ are statistically _________ and _________ is (are) _________ not significant.

#### Options:
1. \( X_1 \) and \( X_2 \); \( X_3 \)
2. \( X_2 \) and \( X_3 \); \( X_1 \)
3. \( X_1 \) and \( X_3 \); \( X_2 \)
4. \( X_2 \); \( X_1 \) and \( X_3 \)

### Explanation:
The standard errors provide insight into the precision of the coefficient estimates. Smaller standard errors generally indicate more precise estimates.

Feel free to select the option that best fits your analysis based on the given regression equation and standard errors.
Transcribed Image Text:### Regression Analysis Form #### Given Equation: \[ Y = 200 + 2X_1 + 0.5X_2 - 0.75X_3 \] **Standard Errors:** - For \( 2X_1 \): (50) - For \( 0.5X_2 \): (0.35) - For \( -0.75X_3 \): (0.30) #### Question: Given this data, we can conclude that the coefficients for _________ are statistically _________ and _________ is (are) _________ not significant. #### Options: 1. \( X_1 \) and \( X_2 \); \( X_3 \) 2. \( X_2 \) and \( X_3 \); \( X_1 \) 3. \( X_1 \) and \( X_3 \); \( X_2 \) 4. \( X_2 \); \( X_1 \) and \( X_3 \) ### Explanation: The standard errors provide insight into the precision of the coefficient estimates. Smaller standard errors generally indicate more precise estimates. Feel free to select the option that best fits your analysis based on the given regression equation and standard errors.
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